7^6 is the correct answer
Given
base=2x+6
height=x+4
and
area=56 square units
56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0
x-4=0
x=4
x+11=0
x=-11
false, measures can't be negative
x=4
height=x+4
height=4+4=8
base=2x+6
base=2(4)+6=8+6=14
x=4 and base=14 and height=8
Answer:
The Answer is 3 - sqrt7
Step-by-step explanation:
2/3 + sqrt7 the starting equation
You multiply it by the conjugate which is 3 - sqrt7
= 2(3 - sqrt7) / (3 + sqrt7) (3 - sqrt7) the equation after you multiply by 3 - sqrt7
(3 + sqrt7) (3 - sqrt7) = 2
= 2(3 - sqrt7) / 2 the equation after you simplify (3 + sqrt7) (3 - sqrt7)
Divide out the 2's
= 3 - sqrt7/1 the equation after you divide out the 2's
= 3 - sqrt7 is THE ANSWER
Answer:
-27.9
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
The two angles add to 90 degrees since they are complementary
the ratio is 3:2
Multiply by x
3x:2x
Add them together and set equal to 90
3x+2x=90
5x=90
Divide each side by 5
5x/5 = 90/5
x = 18
The first angle is 3*18 = 54
The second angle is 2*18 = 36
