$A=\dfrac{1}{3}h(r+b)\qquad\text{multiply both sides by 3}\\\\3A=h(r+b)\qquad\text{use distributive property}\\\\3A=hr+hb\qquad\text{subtract hb from both sides}\\\\3A-hb=hr\qquad\text{divide both sides by }\ h\neq0\\\\\dfrac{3A-hb}{h}=r$

7 0

3 years ago

A line segment as an endpoint (0,-1) and a midpoint: (1,-8). The other endpoint is

Digiron [165]

Answer: ( 2 , - 15 )

Step-by-step explanation:

Given :

endpoint = ( 0 , -1 )

midpoint = ( 1 , - 8 )

Let the other end point be ( x , y )

The equation for finding the mid point of a line segment is given by :

mid point = ( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$

This means

(1 , -8 ) = ( $\frac{0 + x}{2}$ , $\frac{-1 + y }{2}$ )

Equating the x - component , we have

1 = $\frac{0 + x}{2}$

1 = x/2

Therefore

x = 2

Also equating the y - component

- 8 = $\frac{-1 + y }{2}$

-16 = -1 + y

-15 = y

Therefore :

y = -15

Therefore , the other endpoint is :

( 2 , - 15 )

6 0

3 years ago

The permeter of the rectangle is 28 units

padilas [110]

Answer:

Step-by-step explanation:

P=2(l+w)

28=2(l+w)

l+w=14

w<l<14/2

or w<7

so w=5 units

8 0

4 years ago