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astra-53 [7]
2 years ago
8

The equation of a line is y = 12x - 3. Write the equation of a line parallel to this line.

Mathematics
1 answer:
VladimirAG [237]2 years ago
8 0

Answer:

y=12x+3

Step-by-step explanation:

when parallel the slopes need to be the same but the y-intercept has to change

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The length of a rectangle is twice the width. the perimeter is 32 cm more than the width. find the dimensions of the rectangle.
SCORPION-xisa [38]
Width: x
Length: 2x
Perimeter=2x+2x+x+x=6x
32 cm more than width means x+32
6x=x+32
5x=32
x=6.4
Dimension is 6.4×12.8 (width×length)
7 0
3 years ago
An exercise class had 20 people. If each person produced 2,200 BTUs of body heat during the class and the room is 30 ft × 40 ft
nika2105 [10]
We are given the average body heat  equal to 2200 BTU. In this problem, we are asked to determine the total body heat  in BTU per cubic foot given the dimensions of the room. The volume of the room is 18000 ft3. we multiply the average heat by 20 persons.hence the answer to this problem is 2.44 BTU/ft3. 
8 0
3 years ago
Find the difference quotient off, that is, find fly+h)-f(x) h h#0, for the following function. Be sure to simplify. f(x) = x^2 -
Sloan [31]

The difference quotient for the function f(x) is h+2x-7

Given :

Difference quotient formula

\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}

Given function f(x) = x^2 - 7x + 8

find the difference quotient using the formula

first we find out f(x+h) using given f(x)

replace x with x+h

f(x) = x^2 - 7x + 8 \\f(x+h)=\mathrm{ }\left(x+h\right)^2-7\left(x+h\right)+8\\Expand \; and \; simplify\\f(x+h)=x^2+2xh+h^2-7\left(x+h\right)+8\\f(x+h)=x^2+2xh+h^2-7x-7h+8

Now replace it in our formula and also replace f(x)

\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}\\ \frac{x^2+2xh+h^2-7x-7h+8-(x^2 - 7x + 8)}{h} \\\frac{x^2+2xh+h^2-7x-7h+8-x^2 + 7x - 8}{h} \\\\\frac{h^2+2xh-7h}{h}\\factor \; out \; h\\\frac{h\left(h+2x-7\right)}{h}\\h+2x-7

Learn more :brainly.com/question/23630564

3 0
3 years ago
A painter uses the expression 35h + 30c to determine how much he charges a customer for a job that takes h hours and c cans of p
Savatey [412]

Answer:

c) $615

Step-by-step explanation:

The expression used to determine how much is the charge for the customer after the job is

p=35h+30c

where

h is the number of hours the job took

c is the number of cans of paint used during the job

In this problem:

c = 3 (the painter used 3 cans of paint)

h = 15 (the painter took 15 hours for the job)

So substituting these values into the equation for p, we find the total value that the painter charged for the job:

p=35\cdot 15 + 30 \cdot 3 =615

So, the correct answer is

c) $615

5 0
3 years ago
Please someone help me with this
gregori [183]

Answer:

  • 260 cm³

Step-by-step explanation:

<u>Full surface area:</u>

  • S = 3(6*10) + 2(1/2*8*10) = 260 cm³
3 0
3 years ago
Read 2 more answers
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