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EastWind [94]
3 years ago
7

Which function below is the inverse of f(x) = x2 − 16?

Mathematics
1 answer:
slega [8]3 years ago
4 0
f(x) = x^{2} - 16
y = x^{2} - 16
x = y^{2} - 16
x + 16 = y^{2}
\±\sqrt{x + 16} = \sqrt{y^{2}}
\±\sqrt{x + 16} = y
\±\sqrt{x + 16} = f^{-1}(x)
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Solve system of linear equation by substitution -x+y=2; 3x-5y=-4
GarryVolchara [31]

Answer:

(-3,-1)

Step-by-step explanation:

-x+y=2

3x-5y=-4

in the top equation, we can get y by itself on one side of the equation:

-x+y=2

y=x+2

now, since we know that y=x+2, in the bottom equation we can substitute x+2 for y (substitution method) and solve:

3x-5y=-4

3x-5(x+2)=-4

3x-5x-10=-4

-2x-10=-4

-2x=6

x=-3

since we now know that x=-3, we can use it to find y by plugging in -3 for x in the top equation (you can do it in either equation, but doing it in the top equation is easier):

y=x+2

y=-3+2

y=-1

answer: (-3, -1)

7 0
3 years ago
Please help me !!! i will mark brain-list for the correct answer !!!
Shtirlitz [24]

Answer:

B

Step-by-step explanation:

So remember that a quarter of a circle is 90 degrees, a half of a circle is 180 degrees, and a whole circle is 360 degrees.

Looking at the image shown, it must be half a circle, whihc is 180 degrees. The image tells us that the 1st angle is 7 degrees. Now, we must find the 2nd angle.

Heres what we know however:

angle 1 + angle 2 = 180 degrees.

How do we know this?

Well, there are only 2 angles in this 180 degrees. We know that the first one is 7 degrees.

Lets input that into our nice lil equation to get an answer:

7 degrees+angle 2 = 180 degrees

Now lets solve.

Subtract 7 on both sides, and your left with:

angle 2 = 173 degrees.

So the answer must be:

<u>173 degrees</u>

Hope this helps! ;)

4 0
3 years ago
SV is a midsegment of △RTU.<br> If TU=y+38 and SV=y–9, what is the value of y?
pav-90 [236]

Answer:

y = 56

Step-by-step explanation:

the midsegment SV is half the length of the side TU , that is

y - 9 = \frac{1}{2} (y + 38) ← multiply both sides by 2 to clear the fraction

2y - 18 = y + 38 ( subtract y from both sides )

y - 18 = 38 ( add 18 to both sides )

y = 56

8 0
2 years ago
Help no time plzzzz plz plz​
Sav [38]

Answer:

FALSE

Step-by-step explanation:

<E in ∆AED ≅ <E in ∆CEB.

Both are 90°.

Side ED ≅ Side EB

Side AD ≅ Side CB.

Thus, two sides (ED and AD) and a non-included angle (<E) of ∆AED are congruent to corresponding two sides (EB and CB) and a non-included angle (<E) of ∆CEB. Therefore, by A-S-S Congruence Theorem, both triangles are congruent to each other not by SSS.

8 0
3 years ago
ITS URGENT PLEASE HELP ME
Iteru [2.4K]
I think that it is D or A
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2 years ago
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