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erica [24]
3 years ago
8

A line passes through the points (2,-2) and (-6,2). The point (a.-4) is also on the line. What is the value of a?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0

Answer:

<u><em>6</em></u>

Step-by-step explanation:

Hey there) The formula of your line is:

-2=2k+b\\2=-6k+b\\=>4=-8k\\k=-0.5\\=> b=-2+1=-1\\=>y=-\dfrac{1}{2}x-1\\

If point has y=-4, then:

-4=-\dfrac{1}{2}a-1\\4=\dfrac{1}{2}a+1\\a=6

Hope this helps) Have a nice day/night :)

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The following two right triangles are similar.If side PQ = 42, side LM = 28, and side QR = 24, what is the length of side MN?
Phantasy [73]

Answer:

a. 16

Step-by-step explanation:

Find the scale:

42 ÷ 28 = 1.5

Use this scale for QR to find MN:

24 ÷ 1.5 = 16

6 0
2 years ago
Find the slope intercept form of the line passing through (3,9) and (0,3).
ANEK [815]

Answer:

y = 2x +3

Step-by-step explanation:

To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run

So, m = (9 - 3) / (3 - 0)

m = 2

Now we have y = 2x +b

Notice one of our points is (0,3)

Since the x value of that point is 0, it is the y intercept.

In the slope intercept form b = y-intercept

Therefore b = 3

So, y = 2x + 3

6 0
3 years ago
Find the value of k<br> 4x+y=8<br> y=kx+2<br><br> options<br><br> -4<br> 4<br> -1/4<br> 1/4
nexus9112 [7]

Answer:

4 i think im not sure

Step-by-step explanation:

Subtract yy from both sides of the equation.

4x=8−y4x=8-y

y=kx+2y=kx+2

Divide each term by 44 and simplify.

Tap for more steps...

x=2−y4x=2-y4

y=kx+2

6 0
3 years ago
Find the value of x.
Brrunno [24]

Answer: x=133

Step-by-step explanation:

This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).

You first add up all your side:

150+130+97+120+90 +x = 587 + x

587+x = 720

x=133

3 0
3 years ago
BD bisects m m Find m
amm1812

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

m\angle ABC = 77.2^\circ

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

m\angle ABD=m\angle CBD

Substituting the algebraic expressions for both angles:

2.5x + 8.6=3.5x - 3.4

Subtracting 8.6 and 3.5x:

2.5x - 3.5x = -8.6 - 3.4

Operating:

-x = -12

x = 12

The two angles are:

m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ

m\angle CBD=3.5x - 3.4 = 38.6^\circ

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

m\angle ABC = 2*38.6^\circ=77.2^\circ

\mathbf{m\angle ABC = 77.2^\circ}

6 0
3 years ago
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