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Tom [10]
3 years ago
13

What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms

anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.

Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.

The axis of symmetry is 6
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Solve to find side C please
Alex73 [517]

Answer:

c= 18.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos theta = a/c

cos 57 = 10/c

Multiply each side by c

c cos 57 =10

Divide each side by cos 57

c = 10/cos 57

c=18.36078459

Rounding to the nearest tenth

c= 18.4

6 0
3 years ago
Solve 3(a + 3) – 6 = 21. Write a reason for each step.
kakasveta [241]

Answer:

Step-by-step explanation:

3(a+3)-6=21

<=>3a+9-6=21

<=>3a+3=21

<=>3a=18

<=>a=6

7 0
2 years ago
Read 2 more answers
NEED THIS DONE SOON
Sati [7]

65Answer:

we can use sin to find the missing length

Step-by-step explanation:

The ratio states that sin of an angle=opposite/hypotenuse

sin(65)=x/6 since we know the angle and the hypotenuse we need to figure out the opposite side

sin(65)=0.906307...

0.906307=x/6

Multiply 6 on both sides to isolate x

The answer is 5.4378...

Rounded to the hundredth is 5.44

5 0
3 years ago
Find the prime factorization for the number m (if possible) that makes each of the following true. If no number is possible, exp
SSSSS [86.1K]

Answer:

Is not possible to find a prime factorization for m.

Step-by-step explanation:

if

2^3 . 19^5 . 23^4 = 2^3 . 19^5 . 46 . m

then

m=\frac{2^3. 19^5 . 23^4}{2^3 . 19^5 . 46 }=\frac{2^3. 19^5 . 23^4}{2^3 . 19^5 . 2.23 }=\frac{23^3}{2}

So m is not an integer, hence it cannot be decomposed in prime factors.

3 0
3 years ago
andre is writing a paper for science class he can type 30 words per minute what is the ratio of words to minutes
soldi70 [24.7K]

Answer:

30words

60

30/ 60 = 1/2

The ratio is 1:2

Thank you and please rate me as brainliest as it will help me to level up

7 0
3 years ago
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