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Gnesinka [82]
2 years ago
15

Find the vertex of the given function. f(x) = |x + 1| - 7

Mathematics
2 answers:
Tpy6a [65]2 years ago
8 0

Answer:  The vertex of the function is (-1, -7).

Step-by-step explanation:  We are given to find the vertex of the following function.

f(x)=|x+1|-7.

We know that the vertex of the function f(x)=|x-h|+k is given by

(h, k).

So, for the given function f(x), the vertex will be (-1, -7).

The graph of the function f(x) is shown in the attached figure, where the vertex is at the point (-1, -7).

Thus, the vertex of the function is (-1, -7).

kow [346]2 years ago
4 0
The vertex is (-1, -7).

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Step-by-step explanation:

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Question 10<br> Complete<br> 6 m/s = ? km/h
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21.6 km/hr

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Use the formula s = rwt to find the value of the
Vinil7 [7]

Answer:

π/36 sec-1

Step-by-step explanation:

From the question we are given the formula below

s = rwt ..........eqn(1)

Where s= π/3m, r=3 m, t= 4 sec

We were not given value of " w" which implies we are required to find out values of" w"

We can make " w " the subject of the formula from eqn(1)

s = rwt

w= s/(rt)........eqn(2)

Then substitute for the values in eqn(2)

w= (π/3m ) / ( 3m × 4 sec)

= π/36 sec-1

Hence, the value of the

missing variable is π/36 sec-1

6 0
2 years ago
Write the equation of a parabola whose directrix is y=9.75 and has a focus at (8, 0.25).
lana [24]

Answer:

y = (-1/19)(x - 8)² + 1521/76

Step-by-step explanation:

A parabola moves in such a way that it's distance from it's focus and directrix are always equal.

Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4

If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;

√((x - 8)² + (y - ¼)²)

Distance from that point to the directrix is; (y - 39/4)

Thus;

√((x - 8)² + (y - ¼)²) = (y - 39/4)

Taking the square of both sides gives;

((x - 8)² + (y - ¼)²) = (y - 39/4)²

(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²

Simplifying this gives;

(x - 8)² - (39/4)² = (½ - 39/2)y

(x - 8)² - 1521/4 = -19y

(x - 8)² - 1521/4 = -19y

Divide both sides by -19 to get;

y = (-1/19)(x - 8)² + 1521/76

6 0
2 years ago
What is the answer to number 15 p.s. show how u got this ANSWER PLEASE ​
Anuta_ua [19.1K]

Answer:

The volume of the rectangular prism is V=442.341\ cm^{3}

The surface area of the rectangular prism is SA=384.62\ cm^{2}

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

V=LWH

substitute the values

V=(12.7)(8.1)(4.3)=442.341\ cm^{3}

The surface area of the rectangular prism is equal to the area of its six faces

so

SA=2(8.1)(4.3)+2(12.7)(8.1)+2(12.7)(4.3)=384.62\ cm^{2}

7 0
3 years ago
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