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Setler [38]
3 years ago
10

BRAINLIESTTT ASAP!!!!

Mathematics
1 answer:
azamat3 years ago
7 0
The first answer because domain means the x-values and it's a negative parabola 0 ≤ x ≤ 20
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The line passing through (-2,5) and (2,p) has a gradient of -1/2. <br><br> Fnd the value of p
makkiz [27]

Given:

The line passing through (-2,5) and (2,p) has a gradient of -\dfrac{1}{2}.

To find:

The value of p.

Solution:

If a line passes through two points, then the slope of the line is:

m=\dfrac{y_2-y_1}{x_2-x_1}

The line passing through (-2,5) and (2,p). So, the slope of the line is:

m=\dfrac{p-5}{2-(-2)}

m=\dfrac{p-5}{2+2}

m=\dfrac{p-5}{4}

It is given that the gradient or slope of the line is -\dfrac{1}{2}.

\dfrac{p-5}{4}=-\dfrac{1}{2}

On cross multiplication, we get

2(p-5)=-4(1)

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2p=-4+10

2p=6

Divide both sides by 2.

p=3

Therefore, the value of p is 3.

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3 years ago
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