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mr_godi [17]
2 years ago
6

Find the equation of the line:

Mathematics
1 answer:
eduard2 years ago
6 0

The slope of AB is (0-4)/(-2-0)=2, so since perpendicular lines have negative reciprocal slopes, the slope of the perpendicular line is -0.5.

So, the equation of the line is:

y + 1 = -0.5(x - 5)

y + 1 = -0.5x + 2.5

y = -0.5x + 1.5

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Which statement is true about the points (-4,6) and (4,-6) is true
White raven [17]

Answer:

D.

Step-by-step explanation:

I graphed it. They are both not in the same qudrant because both their x and y values are opposites. This led me to believe that they were in quadrants digaonal of each other, meaning the answer was D, because if you flipped the point across the x or y axis and then flipped it again across the other axis, it would be that point. Just in case, I graphed it. Please tell me if I'm wrong :)

8 0
3 years ago
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Solve for x. SHOW ALL WORK FOR CREDIT! ( 35pts)
iren2701 [21]

Answer:

<h2><u><em>x = 6</em></u></h2>

Step-by-step explanation:

they are two opposite angles, therefore equal

14x - 4 = 13x + 2

14x - 13x = 2 + 4

x = 6

-----------------

check

14 * 6 - 4 = 13 * 6 + 2

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<em>the answer is good</em>

8 0
2 years ago
Fit a quadratic function to these three points: (-2,8)(0,-4),and (4,68)
aev [14]
Given three points
P1(-2,8)
P2(0,-4)
P3(4,68)
We need the quadratic equation that passes through all three points.

Solution:
We first assume the final equation to be
f(x)=ax^2+bx+c .............................(0)

Observations:
1. Points are not symmetric, so cannot find vertex visually.
2. Using the point (0,-4) we substitute x=0 into f(x) to get
f(0)=0+0+c=-4, hence c=-4.
3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.
f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)
f(4)=a(4^2)+b(4)-4=68 =>  16a+4b-4=68.............(2)
4. Solve system
2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)
substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2  ..........(4)
5. Put values c=-4, a=4, b=2 into equation (0) to get

f(x)=4x^2+2x-4

Check:
f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8
f(0)=0+0-4 = -4
f(4)=4(4^2)+2(4)-4=64+8-4=68
So all consistent, => solution ok.

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Step-by-step explanation:8

5 0
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