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3 years ago

Find the equation of a line passing through the point (-4,1) and perpendicular to the

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Answer:

A. y=-1/4x

Step-by-step explanation:

We have the information 3y=12x-9, the lines are perpendicular, and the new line passes through (-4,1). First, you want to put the original equation into slope intercept form by isolating the y, to do this we need to divide everything by 3 to get y=4x-3. The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 4, so flip it to 1/4 and multiply by -1, we get the slope of the new line as -1/4. So far we have the equation y=-1/4x+b. We are given a point on the line, (-4,1), we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as 1=-1/4(-4)+b. First you multiply to get 1=1+b, then you subtract 1 from both sides to isolate the variable and you get b=0. Then you can use b to complete your equation with y=-1/4x, or letter A.

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Sarita showed the steps to solving the equation. 5 (x minus 3) + 7 (x + 4) = 73 Steps Sarita's Solution Sarita's Verification 1

valentinak56 [21]

Answer:

Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.

Step-by-step explanation:

Given the following equation:

The steps to solve it are:

5(x-3)+7(x+4)-73

1. Apply the Distributive property:

5x-15+7x+28=73

2. Add the like terms:

12x+13=73

3. Subtract5 13 from both sides of the equation:

12x+13-(13)=73-(13

12x=60

4. Divide both sides of the equation by 12:

12r/12 = 60/12

x = 5

To verify it, let's substitute into the equation:

5(5-3)+7(5+4)=73

Evaluating, we get:

5(2)+7(9)=73

10+63=73

73=73

Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that 5-3 is not equal to -2 )

4 0

2 years ago

Read 2 more answers

PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater

jarptica [38.1K]

Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is $y = \log_2(x)$ , and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

$f(x) = 2^x$

Express f(x) as y

$y = 2^x$

Swap the positions of x and y

$x = 2^y$

Take the logarithm of both sides

$\log(x) = \log(2^y)$

Apply the rule of logarithm

$\log(x) = y\log(2)$

Divide both sides by log(2)

$y = \frac{\log(x)}{\log(2)}$

Apply the change of base rule of logarithm

$y = \log_2(x)$

When the strength is 8 pascals, we have:

$y = \log_2(8)$

Express 8 as 2^3

$y = \log_2(2^3)$

So, we have:

$y =3 \log_2(2)$

Evaluate log 2 base 2

$y =3$

Hence, the logarithmic function is $y = \log_2(x)$ , and the length at 8 pascals is 3 units

Read more about logarithmic and exponential functions at:

brainly.com/question/11464095

7 0

2 years ago

NEED HELP FOR TEST!!!

3241004551 [841]

The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Step-by-step explanation:
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

7 0

3 years ago

use any strategy to solve the following problems 1) for haloween ned received 48 pieces of candy .if he put them into piles with

Veronika [31]

Answer:

He could make 16 piles.

Step-by-step explanation:

Divide 48 by 3: 48 ÷ 3 = 16

6 0

2 years ago

Suppose you invest 16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?

forsale [732]

Answer:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one.

Step-by-step explanation:

5 0

3 years ago