The indefinite integral is [tex]$\\{\frac{(2 x+5)^{10}}{40}-\frac{5}{36}(2 x+5)^9+C}{}$$[/tex].
The indefinite integral is [tex]& \int x(2 x+5)^8 d x[/tex]
u=2x+5
du=(2)dx.
[tex]& x=\frac{u-5}{2} \\[/tex]
An integral which is not having any upper and lower limit is known as an indefinite integral.
Mathematically, if F(x) is any anti-derivative of f(x) then the most general antiderivative of f(x) is called an indefinite integral and denoted,
∫f(x) dx = F(x) + CWhere,
∫ f(x) dx =Integral of f with respect to x An integral of f= A function F such that F′(x) = f (x)Constant of Integration = Any real number C, considered as constant functionIntegration=The process of finding the integralAnti derivatives or integrals of the functions are not unique. There exist infinitely many antiderivatives of each of certain functions, which can be obtained by choosing C arbitrarily from the set of real numbers. For this reason, C is customarily referred to as an arbitrary constant. C is the parameter by which one gets different antiderivatives (or integrals) of the given function.
[tex]& \Rightarrow \int\left(\frac{u-5}{2}\right) u^8\left(\frac{1}{2}\right) d u \text {. } \\[/tex]
[tex]& \Rightarrow \quad \frac{1}{4} \int\left(u^9-5 u^8\right) d u \\\\& \Rightarrow \quad \frac{1}{4}\left[\frac{u^{10}}{10}-\frac{5 u^9}{9}\right] \\&[/tex]
Then differentiative u=2x+5 is
[tex]$\\{\frac{(2 x+5)^{10}}{40}-\frac{5}{36}(2 x+5)^9+C}{}$$[/tex]
Therefore, the integral is [tex]$\\{\frac{(2 x+5)^{10}}{40}-\frac{5}{36}(2 x+5)^9+C}{}$$[/tex]
For more such questions on indefinite integrals.
https://brainly.com/question/29133144
#SPJ4
Which is the largest fraction?
7/8
8/10
12/15
3/4​
5 Which group of campers walked the farthest that day?
1. 3miles 2. 1.05 miles 3. 5.4 or 4. 4.2
wich is most.
Answer: 3. 5.4
Step-by-step explanation:
we can convert all of these numbers to decimal form. 3 = 3.00,1.05=1.05, 5.4 = 5.40, and 4.2= 4.20. As we can see here, 1.05 is clearly the smallest, 3.00 is the second smallest, and 5 is larger than 4 s o its 5.4
Solve for X.
log4 1/64 = x
Answer:
Step-by-step explanation:
0.00940718736
Kai is making pancakes for a school fundraiser and is using 3 cups of pancake mix for 22 total pancakes. How many cup of pancake mix will he need to make a total of 220 pancakes? © 30 cups
10 cups
7 cups
9 cups PLS HELP!
I only have 10 minutes left!!!
b Given that C = n = n( / / T (1 + $²3) k 25 i make S the subject of the formula ii find the value of S when C = 6, n = 8, T = 1 and k = 18.
The value of the variable, S when C = 6, n = 8, T = 1 and k = 18 is 1. 036
How to determine the valueTo make a variable the subject of formula, we have to make it stand alone on one end of the equality sign.
From the information given, we have the equation as;
C = n/Tk(1 + S²)
Now, let's cross multiply to make 'S' the subject of formula, we get;
C× Tk(1 + S²) = n
Divide both sides by the coefficient of S
1 + S² = n/CTk
collect '1' to the other side;
S² = n/CTk + 1
Take the square root of both sides
S = [tex]\sqrt{\frac{n}{CTk} + 1 }[/tex]
Now, substitute the values
S = [tex]\sqrt{\frac{8}{6* 1 * 18} + 1 }[/tex]
Multiply the values
S = [tex]\sqrt{1. 074}[/tex]
S = 1. 036
Thus, the value is 1. 036
Learn about subject of formula here:
https://brainly.com/question/10643782
#SPJ1
What is the volume of each right triangular prism
The volume of the right triangular prisms are 1000cm³ and 14, 400mm³ respectively
How to determine the volume of the prismsThe formula for determining the volume of a right triangular prism is expressed as;
V = 1/2 bhl
Where;
V is the volume of the prismb is the base of the prismh is the height of the prisml is the length of the prismNow, substitute the values, we have;
Volume, V = 1/2 × 25 × 20 × 4
Multiply the values
Volume, V = 2000/2
Divide through
Volume = 1000cm³
For the second prism;
Volume = 1/2 × 16 × 50 ×36
Volume = 14, 400mm³
Hence, the values are 1000cm³ and 14, 400mm³
Learn more about volume here:
https://brainly.com/question/1972490
#SPJ1
If the length of a pencil is 20 cm ± 1 cm, find the percentage error.
The percentage error, given the length of the pencil, can be found to be
How to find the percentage error ?The percentage error is simply the error of the length of the pencil, expressed as a percentage. The error in this case is the length of the pencil of 1 cm that is to be added or subtracted from the length of 20 cm.
The percentage error is:
= Length to be added to or subtracted from the pencil / Total length x 100 %
= 1 / 20 x 100 %
= 0. 05 x 100 %
= 5 %
In conclusion, the percentage error is 5 %.
Find out more on percent error at https://brainly.com/question/5493941
#SPJ1
In the figure below find the exact value of z (do not approximate your answer)
z = √35 is the ratio of the long leg to the hypotenuse and the exact value of z are shown in the diagram below.
what is triangle ?Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners.
given
The ratios of the long leg to hypotenuse are the same for all right triangles since they are similar:
z/7 = 5/z
When z2 equals 35, multiply by 7z.
z = √35
z = √35 is the ratio of the long leg to the hypotenuse and the exact value of z are shown in the diagram below.
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
The nth term of a sequence is -5+n
Work out the 40th term of the sequence
Answer:
a₄₀ = 35
Step-by-step explanation:
substitute n = 40 into the nth term rule, that is
a₄₀ = - 5 + 40 = 35
5. A shoe store employee sets up a display by placing shoeboxes in 10 stacks. The numbers of boxes in each stack are 5, 7, 9, 11, 13, 10, 9, 8, 7, and 5. a. What is the mean of the number of boxes in a stack? T b. Find the median of the number of boxes in a stack. c. If one box is removed from each stack, how will the mean and median be affected?
Answer:
a) 8.4
b) 8.5
c) The mean and median will be one less (7.4 and 7.5).
Step-by-step explanation:
Given number of boxes in each stack:
5, 7, 9, 11, 13, 10, 9, 8, 7, 5Part (a)To find the mean of the number of boxes in a stack, divide the total number of boxes by the number of stacks:
[tex]\implies \sf Mean=\dfrac{5+7+9+ 11+13+ 10+9+ 8+ 7+5}{10}=\dfrac{84}{10}=8.4[/tex]
Part (b)The median is the middle value when all data values are placed in order of size.
To find the median of the number of boxes in a stack, first place the numbers in order of size:
5, 5, 7, 7, 8, 9, 9, 10, 11, 13As there is an even number of boxes (10), the median is the mean of the two middle values:
[tex]\implies \sf Median=\dfrac{8+9}{2}=\dfrac{17}{2}=8.5[/tex]
Part (c)If one box is removed from each stack, the total number of boxes is 10 less than before. Therefore:
[tex]\implies \sf Mean=\dfrac{84-10}{10}=\dfrac{74}{10}=7.4[/tex]
The number of boxes in each stack will be (in order of size):
4, 4, 6, 6, 7, 8, 8, 9, 10, 12Therefore, the median is 7.5.
So, if one box is removed from each stack:
The mean decreases by 1.The median decreases by 1.PLEASE HELP!!!
Corine wants to take guitar lessons. She called two different music schools to compare their prices.
The cost of music lessons at Sweet Sounds Music School can be represented by the equation y=20x, where x is the number of hours of lessons taken, and y is the total cost.
She displayed the prices of the first five hours of guitar lessons at Mozart's Music House, which charges a registration fee, in the following graph.
Select all statements that are true about the situation represented by the functions.
A. The registration fee at Sweet Sounds Music School is $20.
B. There is no registration fee at Sweet Sounds Music School.
C. The registration fee at Mozart's Music House is $25.
D. The registration fee at Sweet Sounds Music School is greater than the registration fee at Mozart's Music House.
E. There is no registration fee at Mozart's Music House.
I’m a 10th grade geometry student and I can’t figure these out and these are due by noon tomorrow, please help me out I need help
Answer:
See the explanation below.
Step-by-step explanation:
17) 40=x+45
x = -5
18) 70 = -2 + 8x
72 = 8x
x = 9
19) 19x - 3 = 17x + 11
2x = 14
x = 7
20) -2 + 14x = 12x + 14
2x = 16
x = 8
21) 11x - 3 + 18x + 9 = 180
29x + 6 = 180
29x = 174
x = 6
22) 6x - 4 + 14x + 4 = 180
20x = 180
x = 9
23) 68 + x + x + 128 = 180
196 + 2x = 180
2x = -16
x = -8
24) x + 87 + x + 107 = 180
2x + 194 = 180
2x = -14
x = -7
25) 70 + 12x - 10 = 180
60 + 12x = 180
12x = 120
x = 10
A recipe calls for 1/2 cup of milk per serving. Leeks is making 2 1/2 servings. What equation shows the amount of milk she will need?
Answer: 1.25
2 1/2 (1/2)
2 1/2 (servings) x 1/2 (cups of milk)
Select the correct answer from each drop-down menu.
The first drop down box is - 20$, 30$, 40$, 50$
the second drop down box is - 15$, 30$, 45$, 60$
Since Ten students compared the amount (in dollars) they spent on books each week with the box plot showing the results, the median amount they spent each week is $50. The difference of the first and third quartiles of the data set is $45.
What is a box-and-whisker plot?In Mathematics, a box plot is also referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the box-and-whisker plot (box plot) shown above, the five-number summary for the given data set include the following:
Minimum = 5.First quartile = 20.Median = 50.Third quartile = 65.Maximum = 90.For the difference, we have:
Difference = Third quartile - First quartile
Difference = 65 - 20
Difference = 45.
Read more on box plot here: brainly.com/question/14277132
#SPJ1
6 balls for $4.00 or 4 balls for $2.50. What's the better deal?
Answer:
4 balls for $2.50
Step-by-step explanation:
If 4 balls=$2.50
Then,$2.50+2.50= $6.25
$6.25 for 8 balls
Solve the following system of equations by substitution.
x+2y=-5
-x-2y=5
Answer: The solution to the system of equations is x = -5 and y = 0.
Step-by-step explanation:
To solve this system of equations by substitution, you can start by solving one of the equations for one of the variables. For example, you can solve the first equation for x:
x + 2y = -5
x = -5 - 2y
Then, you can substitute this expression for x into the second equation to solve for y:
-(-5 - 2y) - 2y = 5
5 + 2y - 2y = 5
5 = 5
Now that you have solved for y, you can substitute this value back into one of the original equations to solve for x. If you substitute y = 0 back into the first equation, you get:
x + 2(0) = -5
x = -5
So, the solution to the system of equations is x = -5 and y = 0.
What’s the surface area of a sphere if the radius is is 15cm?
Answer :
2827.43 cm²
Step-by-step explanation:
1/5/2023
7:20PM
Answer:
2827.4 cm²
Step-by-step explanation:
A = 4πr²
A = 4π(15)² = 2827.4 cm²
What advantage does a scatter plot have over a table of values? Select all that apply.
A. The scatter plot visually shows any positive or negative association.
B. The scatter plot shows any linear association.
C. The scatter plot easily identifies duplicate data values.
D. The scatter plot visually shows any outliers of the data.
The scatter plot shows any linear association. Option (B)
What is scatter plot?A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.
A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure.
Advantages of scatter plot
it show whether 2 variables are related or not.It show how much one variable affects anotherTo help you predict the behavior of one variable (dependent) based on the measure of the other variable (independent).From the above advantages, we can conclude on the answer which is Option (B)
Learn more about scatter plot at:https://brainly.com/question/28605735
#SPJ1
Melanie pumps 4 in. of water every 4 hours
Melanie pumps 8 in. of water every 4 hours
Melanie pumps 0.5 in. of water every hour
Melanie pumps 14 in. of water every 7 hours
The acceleration of an object moving through the air at a high
speed v near the earth's surface is in a particular case 32-(v^2)/8
ft. per .sec. per sec. If such an object falls to the ground in one minute from
rest, find the height from which it fall
The object falls from 115200 ft above the ground.
What is the quadratic equation?
A quadratic equation is any algebraic equation of the highest degree. The standard form of the quadratic equation in a variable is ax² + bx + c = 0, where a and b are coefficients, are constant, and is a non-zero numbers.
The acceleration of the object is given by the equation a = 32 - (v^2)/8 ft/s^2. Since the object is initially at rest, we can assume that v = 0 at the start of its fall.
To find the height from which the object fell, we need to use the equations of motion for uniformly accelerated motion. The equation for the distance traveled by an object under constant acceleration is:
d = 1/2 at^2 + vt + d0
where d is the distance traveled, a is the acceleration, t is the time, and d0 is the initial distance (which is zero in this case, since the object is initially at rest).
We know that the object is falling for one minute, and we can convert that to seconds by multiplying by 60. The acceleration is given by a = 32 - (v^2)/8, we know that v = 0, so a = 32 - (0^2)/8 = 32 ft/s^2.
Plugging in the values, we get:
d = 1/2 (32 ft/s^2) (60 s)^2
d = 32 x (3600)
d = 115,200 ft
This is the distance that the object fell. To find the height from which it fell, we simply have to take the distance and negate it.
So the height from which the object fell is:
-115,200 ft
Hence, the object falls from 115200 ft above the ground.
To learn more about the quadratic equation visit,
https://brainly.com/question/1214333
#SPJ1
The revenue function for a one product firm is 1600 R(x) = 200 х x + 8 Find the value of x that results in maximum revenue.
The value of x=4.
What is revenue function?Revenue is equal to the number of units sold times the price per unit. To obtain the revenue function, multiply the output level by the price function.
Given that,
R(x) = 200 х² + 8
differentiating we get,
R'(x)= 400x
Now,
400x=1600
i.e. x=4
Hence, The value of x=4.
To learn more on revenue function click:
https://brainly.com/question/28047180
#SPJ1
A student collect data about a toy motorized airplane.
Mass = 4 kg
Time = 3 sec
Height = 5 meters
Velocity = 2 m/sec
Gravity acceleration = 10 m/sec2
What is the kinetic energy?
The kinetic energy of the toy motorized airplane is 8 Joule.
What is Kinetic Energy?Kinetic energy is the work or energy an object has due to it's motion. The standard unit of kinetic energy is Joule which is kg m²/s².
The formula for calculating Kinetic energy is,
KE = [tex]\frac{1}{2}[/tex] mv²
where m is the mass of the object and v is the velocity of the object.
Here, mass = 4 kg and velocity = 2 meter/second
KE = [tex]\frac{1}{2}[/tex] × 4 × 2²
= 8 Joule
Hence the kinetic energy of the airplane is 8 Joule.
Learn more about Kinetic Energy here :
https://brainly.com/question/26472013
#SPJ1
y+2x-3+4x squared+3x-5y
The required solution to the given expression is 4x² + 5x - 4y - 3.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
y + 2x - 3 + 4x² + 3x - 5y
We have to determine the solution to the given expression.
As per the question, we have
y + 2x - 3 + 4x² + 3x - 5y
Rearrange the variables in the above expression,
4x² + 2x + 3x + y - 5y - 3
Combine likewise terms in the expression,
4x² + 5x - 4y - 3
Thus, the required solution is 4x² + 5x - 4y - 3.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ1
The question seems to be incomplete the correct question would be:
Find the solution to the below expression.
y + 2x - 3 + 4x² + 3x - 5y
HELP
Each big square below represents one whole.
What percent is represented by the shaded area?
%
The percentage represented by the shaded area will be 51.5%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Each big square below represents one whole.
In each big square, there are 100 small squares.
Then the number of blue small squares is 103. Then the percent represented by the shaded area is calculated as,
P = (103 / 200) x 100
P = 0.515 x 100
P = 51.5%
The percentage represented by the shaded area will be 51.5%.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
A four-part spinner is spun once. spinner with four parts labeled q, r, s, and t list the sample space for the experiment. s = {q, r, r, t} s = {q, r, s, t} s = {r, a, t} s = {s, q, q}
The sample space for the experiment of spinning a four-part spinner is the set of all possible outcomes of the experiment.
In this case, the sample space would be: s = {q, r, s, t}
This means that the possible outcomes of the experiment are q, r, s, and t. Each of these outcomes is equally likely to occur when the spinner is spun.
Option s = {q, r, r, t} is incorrect because it includes two occurrences of the outcome r, which is not possible in this experiment.
Option s = {r, a, t} is incorrect because it includes the outcome a, which is not part of the sample space.
Option s = {s, q, q} is incorrect because it includes two occurrences of the outcome q, which is not possible in this experiment.
To learn more about the sample space, visit:
brainly.com/question/24273864
#SPJ4
Pls answer and show all work
It appears that you have some values for angles and sides in a triangle and you are trying to find the value of the side PO=OM.
Explain about triangle:It appears that you are using the notations <PAK=90, PA=5(X+12) and AL=PX+16. To solve this problem, you can use the fact that the sum of the measures of the interior angles in a triangle is always 180 degrees.Since <PAK=90, you know that <PAL + <PKA = 180 - 90 = 90You can use this information along with the Law of Sines to find the value of PO=OMThe Law of Sines states that (PO/sin<PKA) = (OM/sin<PAL) = (PA/sin<PAK)By substituting the given values into the equation, we can solve for the value of PO=OM.PO/sin90 = (OM/sin(90-PX-16)) = (5(X+12))/sin90
PO = OM (since they are equal)
PO = 5(X+12)
This is the value of the side PO=OM in the triangle.
Regenerate response
Triangles can be classified by the length of their sides (equilateral, isosceles, scalene) and by the measure of their angles (acute, right, obtuse). A triangle is a polygon with three edges and three vertices. The sum of the angles in a triangle is always 180 degrees. Triangles can be classified into different types based on the length of their sides, such as equilateral, isosceles, and scalene triangles, and also based on the measure of their angles, such as acute, right and obtuse triangles.The sum of the angles in a triangle is always 180 degrees. Triangles are commonly used in construction, engineering, and trigonometry. They are also used in art and design as a basic shape. They are fundamental in the study of geometry and have been studied for thousands of years.To learn more about triangle refer to:
https://brainly.com/question/17335144
#SPJ1
A bag contains five white balls and four black balls. Your goal is to draw two black balls. You draw two balls at random. Once you have drawn two balls, you put back any white balls, and redraw so that you again have two drawn balls. What is the probability that you now have two black balls
The probability of having two black balls after the first draw is 1/6.
The probability of having two black balls after the second draw is 91/216.
Scenario 1: draw two black on the first draw
P(B,B) = (4/9)(3/8) = 12/72 = 1/6
The probability of ending up with two black by scenario 1 is 1/6.
Scenario 2: draw one black and one white; put back the white, and draw a black
P(B,W) = (4/9)(5/8) = 20/72 = 5/18
P(W,B) = (5/9)(4/8) = 20/72 = 5/18
P(one black and one white on first draw) = 5/18+5/18 = 5/9
When you put the white back, there are now 5 white and 3 black; the probability of drawing a black on the second draw is 3/8.
The probability of ending up with two black by scenario 2 is (5/9)(3/8) = 15/72. = 5/24
Scenario 3: draw two white; put both back and draw again, getting two black
P(W,W) = (5/9)(4/8) = 20/72 = 5/18
Since you put back both whites, the bag now contains the same balls it did at the beginning. The probability of drawing two black on the second draw is then 12/72 = 1/6, as before.
The probability of ending up with two black by scenario 3 is (5/18)(1/6) = 5/108.
Thus, The probability of having two black balls after the first draw is 1/6.
The probability of having two black balls after the second draw is the sum of the probabilities for the three scenarios: 1/6+5/24+5/108 = 36/216+45/216+10/216 = 91/216.
To know more about probability visit: brainly.com/question/30034780
#SPJ4
How many comparisons are required to order an array of 5 elements using the selection sort?
Total comparisons required to order an array of 5 elements using the selection sort =29
Selection sort finds the smallest element and swaps it into the first position. The, from the remaining N-1 elements after the first one (which we know is the smallest), it finds the next smallest and swaps it into the 2nd position. And so on.
To find the smallest element from a group of N elements takes N-1 comparisons. Basically, compare item 1 to 2, remember the smallest. Compare item 3 to smallest and remember which ever is smaller, and so on. You end up doing 1 comparison for every element from 2 through N.
We have to find the smallest element N-1 times*, but each time we have a smaller list to look through.
So let’s turn to an array of 5 elements. To find the smallest element will take4 comparisons. Next time through we do 3 comparisons and so on:
Total comparisons = 4+3+2+1 = 10
For N elements it takes 1+2+3+…+N-1 = (N-1)N/2 comparisons.
You don’t have to run through an Nth time because after sorting N-1 items, the Nth item must be in the correct position already. Or, if you like, the Nth loop does N-N=0 comparisons so we can ignore it.
only counting comparisons of elements in the array. A loop is going to have to do a comparison of the loop variable to the length of the array every time it repeats. Usually those comparisons are disregarded because, unless the elements of the array are integers, the item comparisons take considerably more time than the index comparisons, and any way, it won’t increase the asymptotic complexity, only the constant of proportionality. If you want to count the index comparisons, you have one for every item comparison (because the inner loop does one item comparison per loop iteration) + 1 for each end of the inner loop (a loop that runs X times does X+1 comparisons) and then another N-1 for the outer loop + 1 for the loop end. For N = 5 there will be 10 + 4 + 4 + 1 = 19 index comparisons and 10 + 19 = 29 total comparisons.
total comparisons required to order an array of 5 elements using the selection sort =29
of course, if you write this in a language like java that does array bounds checking, you’ll add two more comparisons for each array access. And the compare function is probably a function call, so you’re increasing stack depth which potentially adds comparisons to make sure that doesn’t overflow… you know what? I think I’ll just stop there.
To know more about Selection sort visit brainly.com/question/13161882
#SPJ4
(8w - 4g + 1) - (5w + 3g -5)
Answer:
The answer is 3w - g - 4
Step-by-step explanation:
(8w - 4g + 1) - (5w + 3g - 5)
8w - 4g + 1 - 5w + 3g - 5
Rearrange terms
8w - 5w - 4g + 3g + 1 - 5
Combine like terms
(8w - 5w) = 3w ( -4g + 3g) = -g (1 - 5) = - 4
Answer:
3w - g - 4
Wright the equation of the line through the point (7,8) and (-12, -11)
A) y= x +15
B) y= -x -1
C) y =x +1
D) y = -x -23
The equation of the line through the point (7,8) and (-12, -11) is y = x + 1. Thus, option c is correct.
What is linear equation?Linear equations are characterised by variables with a power of one. Where ax+b = 0 is one example with one variable, where a and b are real numbers and x is the variable.
Linear algebra covers a wide range of topics. Applications, abstract, and numerical methods are all part of its range. Numerous other disciplines, including fractal geometry, differential equations, difference equations, relativity, archaeology, and demography, depend on linear algebra.
Using the slope formula, we can find the equation of the line [passing through the point (7,8) and (-12, -11) i.e.
y₂ - y₁ = m(x₂ - x₁)
Putting the values
-11 - 8 = m(-12 - 7)
-19 = m(-19)
m = -19/-19
m = 1
Now, we have slope so find the line
y - 8 = 1(x - 7)
y = x - 7 + 8
y = x + 1
y - (-11)= 1(x - (-12))
y + 11= x 12
y = x + 1
Thus, The equation of the line through the point (7,8) and (-12, -11) is y = x + 1.
Learn more about linear equation
https://brainly.com/question/11897796
#SPJ1
