Answer:
h = 20 cm
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
where b1 and b2 are the two bases
We are given a =400 and b1 =27 and b2 =13
400 = 1/2 (27+13) *h
400 = 1/2 (40) *h
400 = 20h
Divide each side by 20
400/20 = 20h/20
20 =h
Answer:
x= -6
Step-by-step explanation:
Notice that a(-6,7) and b(-6,-3) have the same x-coordinate (-6). This means that x is constant and that the line is a vertical one (x = -6).
The equation of the line through these two points is x = -6.
Answer:
231 ft²
Step-by-step explanation:
Given that :
Dimension of each side = 3.5 feets by 11 feets
Area of each side :
Length * width = (3.5 * 11) feets = 38.5 ft²
Number of sides = 6
Hence, number of square feets to paint :
Number of sides * area of each side :
6 * 38.5 ft²
= 231 ft²
Answer:
10x + 5y = 11
Step-by-step explanation:
I usually find it in slope intercept then convert, it's easier for me.
First you find slope using delta y over delta x giving you -2/5.
so you have y=-2/5x + b
To find b plug in a point and solve down
1 = -2/5(3) +b
1+6/5 = b
b = 11/5
y=-2/5x + 11/5
Then you convert it to Ax+by=C form,
multiply by 5
5y = -10x + 11
move x
10x +5y = 11
Answer:

Step-by-step explanation:
We have been given a polynomial
and we are supposed to simplify our polynomial.
We will use factoring to simplify our polynomial. Let us factor out the greatest common factor of all the terms.
We can see that 16, 6 and 4 has 2 as their greatest common factor.
The greatest common factor of
is r.
The greatest common factor of
is t.
So the greatest common factor of the terms of our expression will be
.
Let us factor out
from our given polynomial.

As we can not factor our expression more, therefore, we will get
after simplifying our polynomial.