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andreyandreev [35.5K]
3 years ago
10

Find the equation for the line that passes through the point

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

  y = -3/4x -15/4

Step-by-step explanation:

We assume you mean the given line to be ...

  y = -3/4x -21/4

The slope of this line is -3/4. The parallel line will have the same slope.

__

In point-slope form the equation of the line you seek is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y = -3/4(x -(-5)) . . . . .substitute m=-3/4 and (h, k) = (-5, 0)

  y = -3/4x -15/4

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The clock has a diameter of 18 inches. At 8 o'clock, what is the area of the sector formed by the two hands of the clock? Round
Drupady [299]

Answer:

The area of the sector is 84.8 in.² to the nearest tenth

Step-by-step explanation:

∵ the clock is a circle

∴ The measure of angles between each two hours = 360° ÷ 12 = 30°

∵ At 8 o'clock the hour hand pointed on 8 and the minute hand pointed on 12

∴ There are 4 angles between the two hands

∴ The central angle subtended by the arc = 4 × 30° = 120°

∵ The Area of the sector = \frac{x}{360} \pi r^{2} where x is the central angle subtended by this arc

∴ Area sector = \frac{120}{360} × π × (18/2)²

∴ Area sector = \frac{1}{3} × π ×81 = 27π = 84.8 in² to the nearest tenth

8 0
3 years ago
What transformations are applied to the graph of the function f(x)=10^x to produce the function g(x)=3(10)^x-2
tatiyna

Answer:

  • D) A vertical dilation by a factor of 3 and a vertical shift down 2 units

Step-by-step explanation:

<u>Given</u>

  • f(x)=10^x
  • g(x)=3(10)^x - 2

<u>We see that:</u>

  • g(x) = 3f(x) - 2

This is a vertical stretch by a factor of 3 and translation down 2 units

Correct choice is D

7 0
3 years ago
Find the value of n such that x2-10x+n is a perfect square trinomial.
mihalych1998 [28]
The answer is the last option (Option D), which is:

 D. 25

 The explanation is shown below:

 1. You have that:

 (a ± b)^2=a^2 <span>± 2ab + b^2

 2. The expression given in the problem is:

 </span><span>x^2-10x+n

 Where x^2=a and 2ab=10x

 2b=10
 b=10/2
 b=5

 3. Therefore, you have:

 b^2=5
 b^2=25

 b^2=n
 n=25</span>
7 0
4 years ago
Read 2 more answers
If u understand this May u please help me
Sladkaya [172]
4 is the y axis so from the y axis you go up 1 and over right 6!
4 0
3 years ago
Can someone help me on this
PtichkaEL [24]
Don’t you just add them? So it is 200?
6 0
3 years ago
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