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3 years ago

What is 5 1/4 ÷ -2 1/2 equal as a mixed number and simplified form

2 answers:

6 0

This is first a division problem, and secondly a division problem involving one negative quantity. The correct rewrite of this expression will therefore be negative:

- (5 1/4 ÷ 2 1/2).

Rewrite 5 1/4 as 21/4 and 2 1/2 as 5/2. Then we have:

- (21/4) ÷ (5/2),

which is equivalent to:

- (21/4) * (2/5) = - 42/20 = -21/10, or -2 1/10.

DENIUS [597]3 years ago

5 0

Jakaidbskdkd aiiekr 1399548

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Can someone show me how to do this?

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= -36/5

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1. N is a midpoint of the segment KL, then N has coordinates

$\left(\dfrac{x_K+x_L}{2},\dfrac{y_K+y_L}{2} \right) =\left(\dfrac{0+2a}{2},\dfrac{2b+0}{2} \right) =(a,b).$

2. To find the area of △KNM, the length of the base MK is 2b, and the length of the height is a. So an expression for the area of △KNM is

$A_{KMN}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 2b\cdot a=ab.$

3. To find the area of △MNL, the length of the base ML is 2a and the length of the height is b. So an expression for the area of △MNL is

$A_{MNL}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 2a\cdot b=ab.$

4. Comparing the expressions for the areas you have that the area $A_{KMN}$ is equal to the area $A_{MNL}$ . This means that the segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas.

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Step-by-step explanation:

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