Answer:
Base
Step-by-step explanation:
An exponent is a number/letter written to the top-right of a mathematical expression called the base. It means that the base will raised to a certain power.
The radical sign is a symbol for the square root of a number.
14. 36x^2 - 16
4(9x^2 - 4) =
4(3x + 2)(3x - 2) <==
15. 3x^2 + 10x - 8
(3x - 2)(x + 4) <==
16. 5x^2 - 16x + 15 = 4x - 5
5x^2 - 16x - 4x + 15 + 5 = 0
5x^2 - 20x + 20 = 0
5(x^2 - 4x + 4)
5(x - 2)(x - 2)
x - 2 = 0....x = 2
Answer:
the height of the porch is H=1.91 m
Step-by-step explanation:
neglecting friction and assuming that the porch is horizontal, then the horizontal speed is v₀= 4 m/s and it does not change , thus he hits the base at
t= L/v₀ , L= horizontal distance
then for vertical motion , since the vertical velocity vy is 0 , the initial height is H ( the height of the porche) and the final height hf is 0 , we have
hf = H + vy*t - 1/2*g*t²
0 = H + 0 -1/2*g*t²
H = 1/2*g*t² = 1/2*g*(L/v₀)²
replacing values with g= gravity = 9.8 m/s²
H = 1/2*g*(L/v₀)² = 1/2*9.8 m/s² *( 2.5 m/ 4 m/s)² = 1.91 m
therefore the height of the porch is H=1.91 m
$6.75 Because 3/8 x $18.00 is $6.75
Answer:
2 7/12
Step-by-step explanation:
1. Convert 3 11/12 and 1 4/12 to 47/12 and 16/12
2. 47/12 - 16/12 = 2.583333333
3. Convert to improper fraction : 31/12
4. Convert to proper fraction : 2 7/12
I hope this helps!
