The answer should be A, the sum of p and q.
Plug in a value for p and q to figure this out.
Here, I'm using 4 for p and 5 for q.
(x+4)(x+5)
x^2+5x+4x+20
x^2+9x+20
Here, the coefficient for the x term is 9 and 9 is the sum of p and q (4+5).
Answer:
40 square inches.
Step-by-step explanation:
It is given that the new club sticker is in the shape of a triangle.
Height of triangle = 8 inches
Base of triangle = 10 inches
We need to find the area of sticker.
Area of triangle
Substitute base = 10 and height = 8 in the above formula.
Area of triangle
Area of triangle
Area of triangle
Therefore, the area of the club sticker is 40 square inches.
Answer:
a) x=2
b)x=12
c)x=5/4
Step-by-step explanation:
a)5x-2=8
5x=8+2
5x=10
x=2
b)4x-3=2x+9
4x-2x=9+3
2x=12
x=6
c)6x+3=2x+8
6x-2x=8-3
4x=5
x=5/4
Proof:
a)5x-2=8
5(2)-2=8
10-2=8
8=8
b)4x-3=2x+9
4(12)-3=2(12)+9
48-3=24+9
45=45
c)6x+3=2x+8
6(5/4)+3=2(5/4)+8
30/4+3=10/4+8
15/2+3=5/2+8
10.5=10.5
Hope this helps ;) ❤❤❤
Answer:
Step-by-step explanation:
Volume of the box = x³ +11x² + 20x – 32 I think the ' is a typo for ³
the width is x-1 and the height is x+8
Find an expression for the length
Vol = LWH solve L
Vol / (WH) = L so
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
so it would help to factor the numerator
(x³ +11x² + 20x – 32) I'm willing to bet (x-1) and (x+8) are factors
but I will plot the equation to find the three roots
(x³ +11x² + 20x – 32) = (x-1) (x+8) (x+4)
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
= (x-1) (x+8) (x+4) / (x-1) (x+8) the (x-1) and (x+8) cancel out leaving
L = (x + 4)
You subtract negative 4 and negative 12...think in a number line and you find negative 4 and then you decrease( which means you move to your left of the number line) and find negative 12 and then you count the spaces you took to get to negative 12