Yes all squares do have four sides
P > 21 it's hard to set up on
= the phone
Answer:
- 4x³ - 33x² + 31x - 3
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
x²(- 4x + 3) + 9x(- 4x + 3) - 1 (- 4x + 3) ← distribute all 3 parenthesis
= - 4x³ + 3x² - 36x² + 27x + 4x - 3 ← collect like terms
= - 4x³ - 33x² + 31x - 3
Answer:
The actual length of the helicopter is <u>23 feet</u>.
Step-by-step explanation:
Given:
On a scale drawing, a helicopter is 2.3 feet long.
The scale on the drawing shows a ratio of 1 foot to 10 feet.
Now, to find the actual length of the helicopter.
Let the actual length of helicopter be
.
On scale drawing length of helicopter = 2.3 feet.
The scale on the drawing shows a ratio = 1:10.
Now, as ratios are given so by setting proportion we solve it:

<em>By cross multiplying we get:</em>
⇒ 
⇒ 
⇒ 
Therefore, the actual length of the helicopter is 23 feet.
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )