Answer:
D. 5(x^2+5)
Step-by-step explanation:
5x^2+25
Viewing the two terms 5 is divisible by both
5X^2/5 +25/5
X^2+5
Therefore the equation will be represented by
5(x^2+5)
Notice that
• <em>π</em>/2 = <em>π</em>/3 + <em>π</em>/6
• <em>π</em>/6 = <em>π</em>/3 - <em>π</em>/6
Recall the angle sum identities for sine:
sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + cos(<em>x</em>) sin(<em>y</em>)
sin(<em>x</em> - <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) - cos(<em>x</em>) sin(<em>y</em>)
By adding these together, we get
sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>) = 2 sin(<em>x</em>) cos(<em>y</em>)
==> sin(<em>x</em>) cos(<em>y</em>) = 1/2 (sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>))
Now take <em>x</em> = <em>π</em>/3 and <em>y</em> = <em>π</em>/6 :
sin(<em>π</em>/3) cos(<em>π</em>/6) = 1/2 (sin(<em>π</em>/2) + sin(<em>π</em>/6))
So the blank should be filled with cos.
No need to apologize, that's why we're here.
Rectangular prism, 25x10x8
The surface area is the sum of the area of all the surfaces. We have 2 surfaces that are 25x10, two 25x8 and 2 10x8 so our total surface area is
2(25(10) + 25(8) + 10(8))=2(250+200+80)=2(530)=1060, choice B
Red marble, 15 out of 40, 15/40 = 3/8, choice B again
There's really not enough information to answer unless we assume the only ways Bart washes his car is the gas station or himself. Assuming that, the probability he washes it himself is 1 minus the probability he washes at the gas station.

, Choice D
So i have two answers this is Completing the Square:
(x+6)^2-36
and this is finding the perfect square trinomial:
x^2+12x+36
Hope this helps
The function h(x) is a transformation of the square root parent function,
f(x)=√x. The function is h(x) A: √x+5.
<h3>What is Transformations?</h3>
Transformations come in the form;
y =√(x-h) +k,
where h is responsible for left-right movements, and k is responsible for up-down movements.
From the graph, we can see that f(x) is simply the parent square root function, √x.
To translate a function right by p units and up by q units, the function becomes
g(x) = f(x -p) +q
(p, q) = (5, 0)
To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.
h(x) = f(x + 5) +0
h(x) = √(x+ 5)
Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.
Learn more about function here:
brainly.com/question/2253924
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