k = 13The smallest zero or root is x = -10
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Steps:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
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<em><u>Hope this helps.</u></em>
Answer:
Angle EFG = 104 degrees
Angle GFH = 76 degrees
Step-by-step explanation:
Angle EFG and Angle GFH are a linear pair, which means that they add up to 180 degrees.
Angle EFG = 4n + 20 and Angle GFH = 2n + 34, so 4n + 20 + 2n + 34 = 180.
We can then combine like terms, getting 6n + 54 = 180.
Then, we can subtract both sides by 54, getting 6n = 126.
Lastly, we can divide both sides by 6, getting n = 21.
EDIT - solve for EFG and GFH:
Angle EFG = 4n + 20 = 4(21) + 20 = 104 degrees
Angle GFH = 2n + 34 = 2(21) + 34 = 76 degrees
21/25
Change to decimal:-
Divide numerator by denominator.
21/25
21 ÷ 25 = 0.84
21/25 = 0.84
Change to a percentage:-
0.84 × 100 = 84
21/25 = 0.84 = 84%
Answer:
≈ 660.5 in²
Step-by-step explanation:
The surface area (A) of a sphere is calculated using the formula
A = 4πr² ← r is the radius
Given diameter = 14. 5 then radius = 7.25, thus
A = 4π × 7.25² = 4π × 52.5625 ≈ 660.5 in²
