Answer:
Step-by-step explanation:
2x²+7x=-3
2x²+7x+3=0
2x²+x+6x+3=0
x(2x+1)+3(2x+1)=0
(2x+1)(x+3)=0
x=-1/2,-3
so C
Answer:
y=21x+25
x=6
Step-by-step explanation:
151=21x+25
-25. -25
126=21x
÷21. ÷21
x=6
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
Answer:
11 yards
Step-by-step explanation:
The volume of a cone formula is:

Where V is the volume,
r is the radius (half of diameter)
h is the height
Given,
h = 15
V = 475.17
We find the radius (r) first by substituting given values:

The radius (r) is 5.5 yards
We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:
Diameter = 5.5 * 2 = 11 yards
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