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r-ruslan [8.4K]
3 years ago
13

Rewrite the function y= x^2 + 14x + 4 in vertex form

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0
Vertex form is basically commplete the square
y=a(x-h)^2+k


y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45

answer is A
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Simplify ((7+sin^2 theta+cos^2 theta)/(4sin^2 theta + 4cos^2 theta))
tino4ka555 [31]

Answer:

2

Step-by-step explanation:

\frac{7+sin^{2}\theta+cos^{2}\theta}{4sin^{2}\theta+4cos^{2}\theta}} = \frac{7+(sin^{2}\theta+cos^{2}\theta)}{4(sin^{2}\theta+cos^{2}\theta)}} =\frac{7+(1)}{4(1)}}=\frac{8}{4} =2

(sin^{2}\theta +cos^{2}\theta=1)\\

7 0
3 years ago
Need help with the composition of functions. I have attached a screenshot of the question.
Svetradugi [14.3K]

So,

To compose a function with another, substitute the inside function into every place where x appears in the outer function.

For (h * h)(x), substitute h(x) for every x in the outer function, h(x).

h(x)=\frac{6}{x}-->(h^oh)(x)=\frac{6}{\frac{6}{x}}=6*\frac{x}{6}=x

For (f * f)(x), substitute f(x) for every x in the outer function, f(x).

f(x)=x^2-5-->(f^of)(x)=(x^2-5)^2-5=x^4-10x^2+20

Hope this helps!

7 0
4 years ago
Plss help with this ill give branliest to whoever
vampirchik [111]

Answer:

Step-by-step explanation:

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3 0
3 years ago
HELP IMMEDIATELY!!
Rashid [163]

Answer:

The value of c is 3

Step-by-step explanation:

Here, we want to get the value of c

From the question, we can select a single x-point

when x = 16

f(x) = 2

g(x) = -1

Thus;

g(16) = f(16) - c

-1 = 2 - c

c = 2 + 1

c = 3

6 0
3 years ago
Read 2 more answers
Use the figure shown to find the missing lengths of the triangle.
Xelga [282]
Can use right angle angle trigonometry as this is a right triangle

sine is opposite over hypotenuse

sin 60 = BC/AB because opposite to 60 is BC and the hypotenuse is AB.

rearrange for AB

sin 60 = BC/AB
AB sin 60 = BC
AB = BC / sin 60

we are given that BC = 15 in

AB = 15 / sin60
AB = 17.321 in (calculator

can use tangent of 60 degrees to find AC
tangent is opposite over adjacent so

tan(60) = BC / AC
AC tan 60 = BC
AC = BC / tan 60
AC = 15 / tan 60
AC = 8.660 in
7 0
3 years ago
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