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Lerok [7]
4 years ago
8

PLEASE ANSWER ASAP (10 POINTS)

Mathematics
1 answer:
Afina-wow [57]4 years ago
7 0

Answer:

(x+5)(x+7)

Step-by-step explanation:

Let's factor x2+12x+35

x2+12x+35

The middle number is 12 and the last number is 35.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 12

Multiply together to get 35

Can you think of the two numbers?

Try 5 and 7:

5+7 = 12

5*7 = 35

Fill in the blanks in

(x+_)(x+_)

with 5 and 7 to get...

(x+5)(x+7)

Answer:

(x+5)(x+7)

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Step-by-step explanation:hi

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What is the equation of the axis of symmetry for the function shown below?
Gennadij [26K]

Answer:

x=2

Step-by-step explanation:

The axis of symmetry can be calculated using the following formula:

Xv= \frac{-b}{2a}

In order to use this formula, we need to have the function written in it's polynomial formula:

f(x)=ax^{2} +bx+c

In order to do so, we have to isolate Y from the excercise's formula.

y=-2(x-2)^2-5

Then we resolve the square of the binomial knowing that (a+b)^2=a^2+2.a.b+b^2

(x-2)^2= x^2+2.x.(-2)+(-2)^2

(x-2)^2= x^2-4x+4

Now we have that:

y=-2.(x^2-4x+4)-5

y=-2x^2+8x-8-5

y=-2x^2+8x-13

As we have now the polynomyal formula, we know that a=-2, b=8 and c=-13. We supplant on the formula and get:

Xv= \frac{-b}{2a}

Xv= \frac{-8}{2.(-2)}

Xv= \frac{-8}{-4)}

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4 0
4 years ago
Harriet used the work below to determine the percent equivalent to 1/8.
vampirchik [111]

Step 2 shows the error.

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Read 2 more answers
The answer isn’t D! Please and thank you!
const2013 [10]

Answer:

Step-by-step explanation:

Basic trigonometric functions have the following formula:

f(x)= A. trig.(Bx-C)+D

Where:

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So C is the number that is inside the parenthesis, without an X. In this case:

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8 0
3 years ago
Find the volume of each figure
pshichka [43]

Answer:

See explanation

Step-by-step explanation:

1. The first figure shows triangular prism. The volume of the triangular prism is

V=\text{Base area}\times \text{Height}

The base of this triangular prism is the triangle with the base of 7 cm and height of h cm (it is not seen).

The base area is

\text{Base area}=\dfrac{1}{2}\times \text{Base}\times \text{Height}=\dfrac{1}{2}\times 7\times h=\dfrac{7h}{2}\ cm^2

and the volume of the prism is

V=\dfrac{7h}{2}\times 13=\dfrac{91h}{2}\ cm^3

Just substitute the length of the height and calculate the volume.

2. The second figure shows square pyramid. The volume of the square pyramid is

V=\dfrac{1}{3}\times \text{Base area}\times \text{Height}

The base of this square pyramid is the square with the side length of 4 yd.

The base area is

\text{Base area}= \text{Side Lenght}^2=4^2 =16\ yd^2

and the volume of the pyramid is

V=\dfrac{1}{3}\times 16\times 12=64\ yd^3

7 0
3 years ago
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