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Marina CMI [18]
3 years ago
7

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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The answer for (a) is 28 and the answer for (b) is 13 but I don’t know how to get the answer
denis-greek [22]

Answer:

Step-by-step explanation:

If Quan had 15 and Kaden had 3 times as much, then Kaden had 15(3) = 45. If he spent 10 then he had 35 left. The amount of money Quan had after his mom gave him some was 4/5 the amount of Kaden's 35 (let x = the amount of money Quan has after his mom gives him some):

x=\frac{4}{5}(35)  35 divides by the 5 in the denominator 7 times, and 7 times 4 is 28. That's how you get your 28 in part a.

For part b., he started with 15 and ended with 28, so his mom gave him 28-15=13. That's how you get the 13.

8 0
2 years ago
Which graph represents a function that is decreasing at a nonconstant rate?
Tasya [4]

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since the line isn't straight, the slope/function is decreasing but not at a constant rate

3 0
3 years ago
The square of a whole number is between 1500 and 1600. The number must be between—?
mel-nik [20]
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5 0
3 years ago
Please help me this is for a grade and i rly need this ! :(
Iteru [2.4K]

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y=1/2x-3

Step-by-step explanation:

8 0
3 years ago
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b

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