Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]
C ( 3 , -2 ) & D ( 7 , -8 )Let the point C ( 3 , -2 ) be ( x₁ , y₁ ) & the point D ( 7 , -8 ) be ( x₂ , y₂ ) .
[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Length of CD[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \sf{Distance = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} - y_{1})^{2} } }}[/tex]
⇢ [tex] \tt{CD = \sqrt{ {(7 - 3)}^{2} + {( - 8 - ( - 2))}^{2} } }[/tex]
⇢ [tex] \tt{CD = \sqrt{ {(4)}^{2} + {( - 8 + 2)}^{2} } }[/tex]
⇢ [tex] \tt{CD = \sqrt{16 + {( - 6)}^{2} } } [/tex]
⇢ [tex] \tt{CD = \sqrt{16 + 36}} [/tex]
⇢ [tex] \tt{CD = \sqrt{52}} [/tex]
⇢ [tex] \tt{CD = 7.2 \: units}[/tex]
[tex] \pink{ \boxed{\underline{ \underline{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{7.2 \: \text{units}}}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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subtract -2x^2-4x from 2x^2-2x-5
The Answer is 4x^2+2x-5
Identify the equation of the line that passes through the pair of points (-1, 4) and (2, -8) in slope-intercept form.
Answer:
here's the answer
Step-by-step explanation:
I think im right.
Classify 4x^3 – 8x^2- 4x^5
A.4-term trinomial
B.Trinomial
C.Monomial
D.Binomial
b. TRINOMIAL
Step-by-step explanation:
Because there are 3 terms
Which transformations, when performed together, would carry graph A onto
graph B? Choose all that apply. A. A translation of 2 units to the left
B. A translation of 3 units down
C. A vertical stretch with a scale factor of 2
D. A vertical compression with a scale factor of
1/2
Answer:
A,B
Step-by-step explanation:
here’s the correct answer.
Answer:
Okay
Step-by-step explanation:
Answer:
cool
Step-by-step explanation:
Gas prices have increased steadily from $2.35 per gallon to $3.95 per gallon in 8 months. What is the rate of change in gasoline prices per month?
Answer:
The rate of change in gasoline is 0.2$ per month.
Step-by-step explanation:
Given that Gas prices have increased steadily from $2.35 per gallon to $3.95 per gallon in 8 months.
Increase 'steadily' means the rate of change is the same throughout the 8 months.
let x represents the time in months, and y represents the gas price
so
at x₁ = 0, y₁ = 2.35
at x₂ = 8, y₂ = 3.95
Let us find the slope or rate of change using the formula
Rate of change = slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3.95 - 2.35] / [8 - 0]
= 1.6 / 8
= 0.2 $ per month
Therefore, the rate of change in gasoline is 0.2$ per month.
The cost of renting a canoe is $8 for the first hour plus another $3 for each
additional hour. Which of the following represents this situation, where Cis
the total cost of renting a canoe for h hours?
The option that represents the situation correctly is C. C = 3h + 8 is incorrect because it doesn't take into account the fixed cost of $8 for the first hour.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
The cost of renting a canoe is a fixed $8 for the first hour plus $3 for each additional hour. This can be expressed as:
C = 8 + 3(h - 1)
Where h - 1 represents the number of additional hours beyond the first hour. Simplifying this equation, we get:
C = 3h - 3 + 8
C = 3h + 5
Therefore, the option that represents the situation correctly is C.
C. C = 3h + 8 is incorrect because it doesn't take into account the fixed cost of $8 for the first hour.
A. C = 3(h-1) + 8 is also incorrect because it doesn't add the fixed cost of $8 for the first hour.
D. C = 8h + 3 is incorrect because it incorrectly assumes that the $3 additional charge is applied to the first hour as well.
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It is in the picture THANKS :D
Answer:
x > -3
Step-by-step explanation:
its an open circle, so the sign is >
and the sign, > is pointing left, so that assures it
Answer:
x>-3
Step-by-step explanation:
Hurry!! Worth 10 points
Answer:
B
Step-by-step explanation:
5/8b+4/5
I need help please! asap
Answer:
my guess is c
Step-by-step explanation:
bxnxnnsnsndnjdjdjd
d. 2xy + 4y + x + 2 =
Jeremiah went shopping for a new pair of pants. Sales tax where he lives is 7.75%. The price of the pair of pants is $44. Find the total price including tax. Round to the nearest cent
Answer:
$47.41
Step-by-step explanation:
7.75% as a decimal would be 0.0775.
multiply:
0.0775(44)=3.41
add that $44.
$44+$3.41=$47.41
My guys pls help me I’m giving brainliest
Answer:
24 sq in
Step-by-step explanation:
Hope this helps
he value of a piece of machinery, in dollars, after t years is described by the function below. f(t)=12,500−1,600t What is the value of the machinery after 4 years? A$7,700 B$6,400 C$6,100 D$10,900
Answer: d 10900
Step-by-step explanation:
The value of machinery after 4 years is $6,100, So option 'C' is the correct answer to the following question.
Value function based problem:What information do we have?
f(t) = 12,500 - 1,600t
Time taken = 4 year
Function
f(t) = 12,500 - 1,600t
f(4) = 12,500 - 1,600(4)
f(t) = 12,500 - 6,400
Value function = $6,100
Find out more information about 'Function'
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Jenni has a box of chocolates. There are 15 pieces of dark chocolate and 25 pieces of milk chocolate in the box. What is the ratio of milk chocolate to dark chocolate pieces?
A 1:15
B 25:1
C15/25
D25:15
Answer:
25:15
Step-by-step explanation:
because we have 15 dark chocolates and 25 milk chocolate
How do I solve for x??
Answer: x = 20
Step-by-step explanation:
A right angle adds up to 90 degrees. Therefore, the sum of all the angle values must equal 90
x + 2x + x + 10 = 90
4x + 10 = 90
4x = 80
x = 20
How do I solve for x??
Answer:
x=40 degrees
Step-by-step explanation:
3x=120 (vertical angles)
solve: 3x=120
x=40
Answer:
x=40
Step-by-step explanation:
The angles are vertical angles And vertical angles measure the same
so
120=3x
Divide both sides by 3:
x=40
help please, i don’t understand
A water tank measures 20 cm by 50 cm by 30 cm
if each of these measurements is given to the nearest centimeter, calculate the largest
possible volume of the tank.
The largest possible volume of the tank, considering the given measurements to the nearest centimeter, is approximately 31575.125 cubic centimeters.
We have,
To calculate the largest possible volume of the tank, we need to consider the measurements given to the nearest centimeter.
When measurements are given to the nearest unit, it means they can vary by up to half of the unit in either direction.
For the dimensions of the tank:
Length: 20 cm (can vary from 19.5 cm to 20.5 cm)
Width: 50 cm (can vary from 49.5 cm to 50.5 cm)
Height: 30 cm (can vary from 29.5 cm to 30.5 cm)
To find the largest possible volume, we need to use the maximum values for each dimension.
Using the upper limit for each measurement, the largest possible volume can be calculated as follows:
Volume = Length × Width × Height
= (20.5 cm) × (50.5 cm) × (30.5 cm)
= 31575.125 cubic centimeters
Therefore,
The largest possible volume of the tank, considering the given measurements to the nearest centimeter, is approximately 31575.125 cubic centimeters.
Learn more about expressions here:
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Solve:
Susan works 32 hours each week at $20.29
per
hour.
Susan has 29.42% taken out for taxes and withholdings
What is the net pay per year?
A $191.02
B. $458.26
C. $9.932.95
D. $23.829.61
WRITE 3 MORE BELIEFS/PRACTICES OF JUDAISM
Answer:
cannot eat meat and dairy products at the same meal
believe that there is a single God who not only created the universe, but with whom every Jew can have an individual and personal relationship.
They believe that God continues to work in the world, affecting everything that people do
Step-by-step explanation:
how many solutions if it is only one line?
Answer:
If the graphs of the equations intersect, then there is one solution that is true for both equations.
Step-by-step explanation:
8x^2y^3+6x^2y
Please factorize
Answer:
8x^2y^3+6x^2y
8x²y³+6x²y
2x²y(4y²+3)
Please help me, I have been stuck on this all day :( 30 points and brainliest
You want to go on a swamp tour. How long does it take a swamp vehicle that travels at 3.2 miles per hour to travel across the swamp, from point Z to point Y ?
Answer:
5.83
Step-by-step explanation:
searched it up
In the expression
7a + b - 12
what is the coefficient of a?
Answer:
6
Step-by-step explanation:
Answer:
The answer is 7
Step-by-step explanation:
Challenging question: points: 100. I will give the brainiest
2.26 to 0.98
Find the percent change.
William's truck consumed 2 gallons of gasoline while travelling a distance of 68 km. He has 1.5 gallons left in the tank. How much farther can his truck go? _______ km
Please help my with this!!!!!!!!!!!!!!!!!!!!!!!! I swear to God if someone else answers this with random letters...
Answer:
1. x2+4
2.h-1
4.6g+11
Step-by-step explanation:
Answer:
1.=x2+4x+3 (2.=h2−17h+72 (3.=25s2+60s+36 (4.=5g2+43g+24 (5.=15d2−71d+84 (6.=x3+7x2+14x+8 (7.=−30v4−10v3+69v2+8v−36brainliest would be appreciatedEvaluate each expression??
Answer:
Step-by-step explanation:
7) 27
8) -10exponent4
i hope this helps, if this is wrong then im sorry but i think its accurate.
Pete played in 2 games. He scored 4 fewer points in the second game than he scored in the first. He scored 12 points on the second game. How many points did he score in the first game?
Write an equation with the variable x:
Solve the equation
Answer:
16 x - 12 = 4 or 4 + 12 = x
Step-by-step explanation:
if he scored 4 fewer than the first game that means 4 + 12 = 16
so: x - 12 = 4 or 4 + 12 = x