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2 years ago

H is the midpoint of KL. K(-3,-4);L(9,2); find the coordinates of H.

Mathematics

2 answers:

Jet001 [13]2 years ago

8 0

Answer:

H(3,-1)

Step-by-step explanation:

To find midpoint you have to get first coordinates of both points and divide it by 2. So (-3+9)/2 = 3 and (-4+2)/2 = - 1

NARA [144]2 years ago

4 0

Answer:

H(3, -1)

Step-by-step explanation:

Hi there!

We are given that there is a line segment KL, H is the midpoint of KL, and also the coordinates of K are (-3, -4), while the coordinates of L are (9, 2).

We want to find the coordinates of H

As H is the midpoint of KL, we can use the midpoint formula to find the coordinates of H

The midpoint formula is given as $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to find the midpoint, but let's label the values of the coordinates K and L to avoid confusion:

$x_1=-3\\y_1=-4\\x_2=9\\y_2=2$

Now substitute those values into the formula:

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

$(\frac{-3+9}{2}, \frac{-4+2}{2})$

Simplify

$(\frac{6}{2}, \frac{-2}{2})$

Divide

(3, -1)

The coordinates of H are (3, -1)

Hope this helps!

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Answer:

24 meters is the width of the original rectangle.

Step-by-step explanation:

Given:

Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced rectangle has a length of 9 meters.

Now, to get the width of original rectangle.

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Now, we find the width of reduced rectangle by using formula:

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Subtracting both sides by 18 we get:

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The width of reduced rectangle = 6 meters.

Now, to get the width of original rectangle:

Let the width of original rectangle be $w.$

As given, the perimeter of the original rectangle = 120 meters.

And, the perimeter of reduced rectangle is 30 meters and its width is 6 meters.

So, 30 is equivalent to 6.

Thus, 120 is equivalent to $w.$

Now, to get the width using cross multiplication method:

$\frac{30}{6}=\frac{120}{w}$

By cross multiplying we get:

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Which is true regarding the graphed function f(x)?

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<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the graphed function comes from:

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Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must follow the steps below:

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