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3 years ago

It is given that the gradient of a straight line which passes through M(h,3) and N(-2,-9) is 2, calculate the value of h.

Mathematics

1 answer:

MrMuchimi3 years ago

6 0

Answer:

h = 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = M (h, 3 ) and (x₂, y₂ ) = N (- 2, - 9 )

m = $\frac{-9-3}{-2-h}$ = $\frac{-12}{-2-h}$ , then

$\frac{-12}{-2-h}$ = 2 ( multiply both sides by - 2 - h )

2(- 2 - h) = - 12 ( divide both sides by 2 )

- 2 - h = - 6 ( add 2 to both sides )

- h = - 4 ( multiply both sides by - 1 )

h = 4

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This figure consist of a rectangle a semi circle and a quarter circle what is the perimeter of this figure use 3.14 for pi

alexandr402 [8]

Answer:

37.55 m

Step-by-step explanation:

To find the perimeter, we have to add the lengths of each part of the figure.

We start from the circle on top. We see that its diameter is 10 m, therefore its radius is

r = 5 m

(because the radius is half the diameter). The perimeter of a circle is given by

$p=2 \pi r$

However, here we have half a circle, so its perimeter is

$p_1 = \pi r=(3.14)(5)=15.7 m$

Then continuing in a clockwise direction, we have to add the length of the side of 2 m:

$p_2 = 2 m$

Then we have two sides of a square of side 5 m, so:

$p_3 = 5 m + 5 m= 10 m$

Then we have a quarter of a circle of radius r = 5 m, so its perimeter is:

$p_4 = \frac{\pi r}{2}=\frac{\pi (5)}{2}=7.85 m$

Finally, we have one more side of length 2 m:

$p_5 = 2m$

Therefore, the total perimeter is:

$p=p_1+p_2+p_3+p_4+p_5=15.7+2+10+7.85+2=37.55 m$

4 0

4 years ago

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klio [65]

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3 years ago

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Brilliant_brown [7]

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