What is the slope of the line that passes through the points ( − 1 , − 7 ) (−1,−7) and ( 1 , − 13 ) (1,−13)? Write your answer in simplest form.
Answers
Answer:
[tex]y = -3x -10[/tex]
Step-by-step explanation:
Slope-intercept formula: [tex]\frac{y_2-y_2}{x_2-x_1}[/tex]
Find slope of (−1, −7) and (1, -13)
[tex]\frac{y_2-y_2}{x_2-x_1}\\\\\\frac{-13-(-7)}{1-(-1)}\\\\\\frac{-6}{2}\\\\\-3[/tex]
[tex]y = mx + b[/tex]
[tex]y = -3x +b[/tex]
[tex]y = -3x +b\\-7 = -3(-1) + b\\-7 = 3 +b\\-3 -3\\-10 = b[/tex]
[tex]y = -3x -10[/tex]
Hope this helps!
Related Questions
A guy wire which is 55 feet long and the distance between the centre of the pole to the guy wire is 35 feet. At what height is the base of the triagular structure atop of the pole from the ground?
Write your answer as a decimal. Round to the the nearest 100ths place.
Answers
yes we are you doing today I think I have a
help me with this I'm trying to win a bet
8 ÷ 2 (2 +2)
Answers
Answer:
16
Step-by-step explanation:
Because of the rule of PE(MD)(AS) the following would be executed like this
8 / 2 (2 + 2)
8 / 2 x 4
4 x 4
16
Therefore, the answer would be 16.
EDIT: This answer was previously incorrect but has been fixed. Calculator confirmed as well. Thank you User emmab2457 in the comments for bringing this to my attention.
The reason the answer is not 1 is because in the term PE(MD)(AS) the Multiply/Divide construct as well as the Addition/Subtraction can be switched, and once reaching this step the equation is solved from Left to Right, no matter if division is before multiplying.
In order to prove the triangles congruent by ASA, which statement needs to be given?
A) LK=DE
B) DE=JL
C)JK=DE
D) DF=LJ
Answers
Explanation:
MAYBE
a) x+4
is a factor of f(x)=x3−x2−20x
Factor completely if so
b) x−6
is a factor of g(x)=x4−6x3−8x+48
Factor completely if so
c) x+7
is a factor of h(x)=x3−37x+84
Factor completely is so
Answers
Answer:
a) f(x) = x(x +4)(x -5)
b) g(x) = (x -6)(x -2)(x^2 +2x +4)
c) h(x) = (x +7)(x -3)(x -4)
Step-by-step explanation:
To factor completely generally means to find binomial factors that have integer constants. It is helpful to be familiar with the idea of "greatest common divisor", and what the product of two binomial factors looks like. In particular, there are a couple of special forms that can be useful. One of them is the difference of squares. Another is the difference of cubes.
a² -b² = (a -b)(a +b)
a³ -b³ = (a -b)(a² +ab +b²)
In the general case, the product of binomial factors is ...
(x -a)(x -b) = x² -(a+b)x +ab
The coefficient of the x-terms is the sum of the binomial constants; the constant term is their product.
__
a)The given cubic has no constant term. That is, every term has a factor of x, so that is one of the factors.
f(x) = (x)(x^2 -x -20)
The given factor of x+4 tells you the constant in the other factor is -20/4 = -5.
f(x) = x(x +4)(x -5)
__
b)We observe that the ratios of pairs of coefficients are ...
1 : -6 and -8 : 48 = 1 : -6 . . . . . pairs of coefficients have the same ratio
That means we can factor each pair of terms:
g(x) = x^4 -6x^3 -8x +48
g(x) = x^3(x -6) -8(x -6) = (x^3 -8)(x -6)
Using the difference of cubes formula, the factorization is ...
g(x) = (x -2)(x^2 +2x +4)(x -6)
Note: the quadratic factor has irrational complex roots.
__
c)The quadratic factor of this cubic can be found by dividing it by the given factor. That is most easily accomplished using synthetic division. Explaining how to do that is beyond the scope of this answer. The first attachment shows that the resulting factorization is ...
h(x) = (x +7)(x^2 -7x +12)
The quadratic is factored by finding two factors of 12 that have a sum of -7. The positive sign of their product (12) tells you both will be negative.
12 = (-1)(-12) = (-2)(-6) = (-3)(-4)
The pair of factors with a sum of -7 is -3 and -4. These are the constants in the remaining binomial factors:
h(x) = (x +7)(x -3)(x -4)
_____
Additional comment
A graphing calculator can be an invaluable tool for factoring higher-degree polynomials. The graph of h(x) in the second attachment, for example, shows you the zeros are -7, 3, 4, so the factors are (x+7)(x-3)(x-4).
For a function like g(x), you can find the real zeros from the graph, then you can find the quadratic by factoring out the associated factors. The vertex of the quadratic curve helps you write the expression for that. (see the third attachment)
g(x) = (x -2)(x -6)((x +1)^2 +3) . . . . quadratic factor in vertex form
g(x) = (x -2)(x -6)(x^2 +2x +4)
Properties of equilateral triangles…………………….
Answers
Answer:
y = 10, x = 4; each side = 20 units
Step-by-step explanation:
In an equilateral triangle, all the sides & angles are equal to each other. So,
=》AC = AB = BC
=》20 = 2y = 5x
Now,
■ AC = AB
20 = 2y
20/2 = y
10 = y
■ AC = BC
20 = 5x
20/5 = x
4 = x
Hope it helps ⚜
If f (x) = –2x – 3 and the domain of f is {-4,0,6} , what is the range of
f (x)?
Answers
Answer:
[tex]\lbrace 5,\, -3,\, -15 \rbrace[/tex].
Step-by-step explanation:
The domain of a function includes all the values that this function could accept as inputs. The function would give a (possibly non-unique) output for each of these inputs. The range of this function over this particular domain would be the set of all the possible output values from this function.
In this question, the domain of this function is [tex]\lbrace -4,\, 0,\, 6 \rbrace[/tex], meaning that this function could accept [tex]x = (-4)[/tex], [tex]x = 0[/tex], and [tex]x = 6[/tex] as possible inputs.
[tex]f(-4) = -2 \times (-4) - 3 = 8 - 3 = 5[/tex].[tex]f(0) = -3[/tex].[tex]f(6) = -2 \times 6 - 3 = -15[/tex].In other words, the possible output values of this function over this domain are [tex]5[/tex], [tex](-3)[/tex], and [tex](-15)[/tex]. Hence, the range of this function would be the set [tex]\lbrace 5,\, -3,\, -15 \rbrace[/tex].
What is the area of this triangle?
Enter your answer in the box.
Answers
Answer:
i think 8cm is triangle area
Step-by-step explanation:
because i saw that 8cm on the side so I told 8cm the triangle.
help me..........................
Answers
16. a
17. a
18. d
19. b
20. c
21. c
22. d
23. c
24. (please zoom in the circle so i can see the radius)
Help me please
Solve the inequality s:
5s+2>7
Answers
Answer:
s>1
Step-by-ste:p explanation:
the internet :)
a book cost for R150 and sold for R180 how much is the profit
Answers
Answer:
R30
Step-by-step explanation:
You would subtract R150 from R180 to get the profit.
Hope this helps :)
A triangle has a base length of 2ac² and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.
Answers
Answer:
608 cm²
Step-by-step explanation:
base = 2ac²
base = 2x4x2²
base = 2x4x4
base = 32cm
height = base + 6cm
height = 32 + 6cm
height = 38cm
Area of triangle = ½ x base x height
Area = ½ x 32 x 38
Area = 1216/2
Area = 608 cm²
Therefore the area of the triangle is 608cm²
A field of wheat measures 15 metres by 18 metres. What is the area of the field and perimeter of the field
Answers
Answer:
Down below
Step-by-step explanation:
Area is 270 metres and perimeter is 66. I got the area by multiplying the length and width (15 and 18). I got the perimeter by multiplying 15 by 2 and 18 by 2. I do this because this is a rectangle and the sides are not all even. So, two sides would be 15 and two sides would be 18. I multiply 18 by 2 and 15 by 2 and add the sums together to get 66.
If I'm wrong, I'm sorry. I'm fairly certain that this is right.
PLEASE HELP!!
A fitness trainer decided to track the combined weight loss of
several new customers. She recorded the combined weight loss
each month and kept track for 6 months. Identify the best
mathematical model with its corresponding R2 value and tell
whether it is a good model.
1,2,3,4,5,6
175,120,95,63,44,30
exponential model 0.996. yes, 0.996 is very close to 1
exponential model, 0.996. no, 0.996 is too high an r2 value
quadratic model, 0.994. no 0.994 is too high an r2 value
quadratic model, 0.994. yes 0.994 is very close to 1
Answers
If 5 boxes cost $35, what is the cost per box?
Answers
Answer:
7 dollars for one box is the answer
Solve the following: 6(x-2)>15
Answers
6(x-2) > 15
6x - 12 > 15
6x > 27
x > 27/6
Hope it helps!
Answer:
x>4.5
Step-by-step explanation:
6(x-2)>15
We do this is as if it were an equation:
6(x-2)>15
Expand the brackets:
6x-12>15
Add 12 to both sides:
6x-12+12>15+12
Simplify:
6x>37
Now we divide both sides by 6:
6x÷6>37÷6
x > 4.5
If we put 5 into the original equation as it is more than 4.5, we get:
6(5-2)>15
We can simplify the brackets or expand first:
Simplifying the brackets first:
6(3)>15
18>15 ✅
Expanding first:
6(5-2)>15
30-12>15
18>15 ✅
What is the multiplicative in verse of -1/14?
Answers
Answer: -14
Step-by-step explanation:
The multiplicative inverse is the reciprocal of the number.
1/(-1/14) = -14
Answer:
-14
Step-by-step explanation:
one of the multiplicative inverses is the also the reciprocal of the number -14
Wrong because when u dived 300 by 200 ur answer sould turn out be 1.5
Answers
Answer:
Step 1: Divide 300 by 200 to get the number as a decimal. 300 / 200 = 1.5
Step 2: Multiply 1.5 by 100. 1.5 times 100 = 150. That's all there is to it!
Note that you can reverse steps 1 and 2 and still come to the same solution. If you multiply 300 by 100 and then divide the result by 200, you will still come to 150!
Step-by-step explanation:
hope it helps
There are 30 students in a class. If 18 of them are girls, find the number of boys.
Answers
Answer:
12 boys
Step-by-step explanation:
30 in total - 18 girls = x boys
30 - 18 = 12 boys
Evaluate. Write your answer as a fraction or whole number.
(3/4) 3
Answers
Answer:
9/4 is as a fraction ..
I hope it will help you .
Please answer with steps
{0.4), (-4,-6)
Answers
Conversion a decimal number to a fraction: -4 = -4/1 = -4./1
a) Write down the decimal -4 divided by 1: -4 = -4/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
-4/1 =
Note: is called a decimal fraction.
c) Simplify and reduce the fraction
= 0 * 1/0 * 1 = 0 * 1/0 * 1 = 0/0
Subtract: -4 - 6 = -10
A rental car agency charges $160.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $360.00?
The number of miles you can travel in one week for $360.00 is. (Type a whole number.)
I need the answer quick
Answers
Answer:
Step-by-step explanation:
M = miles
.25M + 160 = 360.00
.25 = 360 - 160
200/ .25
M = 800 miles
I have a bag of stickers that is 6/8 of my sticker collection. I give 4/8 of my entire stick collection to my sister. What fraction of my sticker collection do i have left?
Answers
Answer: 2/8
Step-by-step explanation:
Think of it as 6 - 4. We know that 6 - 4 is 2, so the same thing apple is to 6/8 - 4/8. So, you have 2/8!
The expressions below model different possibilities for the area of a pool. Identify which of the following expressions have at least the one zero greater than 4.
X^2+11x+30
X^2-5x-14
X^2+5x-24
X^2-5x+6
Answers
========================================================
Explanation:
Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.
The x intercept is the same as the root or zero of a function.
You should find that only choice B has a root thats larger than 4. That specific root being x = 7.
----------------------------
A non-graphing approach:
You can use the quadratic formula or the factoring method to find the roots.
For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.
On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7 and x = -2. This is another way to see why choice B is the answer.
Here are the steps for the quadratic formula for choice B
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-5)\pm\sqrt{(-5)^2-4(1)(-14)}}{2(1)}\\\\x = \frac{5\pm\sqrt{81}}{2}\\\\x = \frac{5\pm9}{2}\\\\x = \frac{5+9}{2} \ \text{ or } \ x = \frac{5-9}{2}\\\\x = \frac{14}{2} \ \text{ or } \ x = \frac{-4}{2}\\\\x = 7 \ \text{ or } \ x = -2\\\\[/tex]
The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.
Adrian bought a frame for a photograph that he took. What is the area of the frame not covered by the picture
Answers
Factoring polynomials. Please help I suck at factoring (especially polynomials) Ill give brainiest too
Answers
the two numbers are -36 and -2.. thier product is 72 but thier sum is -38..
this one took me time lol
Kyra does homework at 4:30 works for 35 minutes kyra finishes her homework at /answers 5:10 4:45 4:50 5:00 5:05
Answers
Answer:
5:05
Step-by-step explanation:
Since she starts at 4:30 for 35 minutes, it is going to be 35 minutes after 4:30. Which is 5:05.
Your welcome, and feel free to comment if you have any questions! :D
A ball is dropped from the top of a building.The table shows its height in feet above ground at the top of each bounce.What is the height of the ball at the top of bounce 5?
Answers
Answer:
Here ,
we can see that with each bounce , the height reduces to half .
therefore ,
the fourth bounce will have a height of 6/2 = 3
and ,
the fifth bounce will have a height of 3/2 = 1.5
hope helpful ~
[tex] \\ [/tex]
help me with geometry please
Answers
Answer:x=9
Step-by-step explanation:so this is a isosceles triangle so that means the two sides are equal so set up the equation as 3x-7=20. And by moving the 7 over it will be 3x=27 and then you want you separate the x and to do that you have to divide x and 27 by 3 and you answer is x = 9
Hey there!
3x - 7 = 20°
ADD 7 to BOTH SIDES
3x - 7 + 7 = 20 + 7
CANCEL out: -7 + 7 because it give you 0
KEEP: 20 + 7 because it help solve for the x-value
NEW EQUATION: 3x = 20 + 7
SIMPLIFY IT!
3x = 27
DIVIDE 3 to BOTH SIDES
3x/3 = 27/3
CANCEL out: 3/3 because it give you 1
KEEP: 27/3 because it help solve for the x-value
NEW EQUATION: x = 27/3
SIMPLIFY IT!
x = 9
Therefore, your answer is: x = 9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
what iis 5.46 ÷ 0.25 (show ur work)
Answers
Answer:
21.84
Step-by-step explanation:
5.46/0.25 is actually just 5.46 * 4 but an easier way to do this is just doing
5.46 * 2 which is 10.92
.46 + .46 is .92
5+5 is 10
so thats 10.92
and since we only did times 2 we have to double it
so 10.92 + 10.92
10 + 10 is 20
.92 + .92 is 1.84
20 + 1.84 is 21.84
2 1 . 8 4
2 5 | 5 4 6 .
5 0
------------------------------
4 6 .
2 5 .
-------------------------------
2 1 . 0
2 0 . 0
-----------------------------------
1 . 0 0
1 . 0 0
Therefore, 5.46 divided by 0.25 = 21.84.
27. Two of the smallest mammals on Earth
are the bumblebee bat and the Etruscan
Pygmy shrew. How much shorter is the
bat than the shrew?
Answers
Etruscsn small mammals on earth the Bumblebee bat
