Answer:
18ft
Step-by-step explanation:
just add all the sides. since it’s a rectangle, you there is 2 sides that’s 3ft long and that are 6ft long. so you would do 3+3+6+6
Answer:
x = -
, x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
x - 2 = 0 ⇒ x = 2
Answer:
43
Step-by-step explanation:
Let
The unit digit = x
The tens digit = y
The number = 10x + y
The tens digit of a two-digit number is five more than the units digit.
y = x + 5
Seven times the sum of the digits of this number is 3 less than the number itself.
7(x + y) = 10x + y - 3
7x + 7y = 10x + y - 3
Find the number.
We substitute x + 5 for y
7x + 7(x + 5) = 10x + (x + 5) - 3
7x + 7x + 35 = 10x + x + 5x - 3
14x + 35 = 11x + 5x - 3
Collect like terms
35 + 3 = 11x + 5x -14x
38 = 16x - 14x
38 = 2x
x = 38/2
x = 19
Solving for y
y = x + 5
y = 19 + 5
y = 24
The number = 19 + 24
= 43
So x equals two if it is an exponent.9
Answer:
B 600
Step-by-step explanation:
A clock is a circle with 12 equal sectors. A circle has 360 degrees so every time a minute hand number goes to another number it changes 30 degrees. After a full hour the time is 7 20 and it changes 360 degrees since the minute hand change over time was 12. 30x12=360.
Then it from 7 :20 and 8 00 the change 8 so is 30×8=240
360+240=600