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

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 , where and 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:

Now substitute those values into the formula:

Simplify

Divide

(3, -1)

The coordinates of H are (3, -1)

Hope this helps!

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk