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Bess [88]
3 years ago
5

I NEED HELP PLEASE!

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

9514 1404 393

Answer:

  y = 1/4x + 5

Step-by-step explanation:

The given line has a "rise" of -8 for a "run" of 2, so a slope of ...

  m = rise/run = -8/2 = -4

The perpendicular line will have a slope that is the opposite of the reciprocal of this slope. Its slope will be ...

  -1/m = -1/(-4) = 1/4

The equation you're looking for will have an x-coefficient of 1/4. The suitable choice is ...

  y = 1/4x + 5 . . . . the third choice

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Choose the correct equation for the parabola based on the given information. Given: Focus:(2,8) Directrix: y = 4 a. 2(y-2)= (x-
Harman [31]
<h3>Answer:  c. 8(y-6) = (x-2)^2</h3>

Explanation:

The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.

The point (2,4) is directly below (2,8), and the point is on the directrix. The midpoint between (2,4) and (2,8) is (2,6). This is the vertex.

(h,k) = (2,6)

4p(y-k) = (x-h)^2

4*2(y-6) = (x-2)^2

8(y-6) = (x-2)^2

8 0
3 years ago
Twenty five heat lamps are connected in a greenhouse so, that when one lamp fails, another takes over immediately (only one lamp
olga55 [171]

Answer:

P = 0.006

Step-by-step explanation:

Given

n = 25 Lamps

each with mean lifetime of 50 hours and standard deviation (SD) of 4 hours

Find probability that the lamp will be burning at end of 1300 hours period.

As we are not given that exact lamp, it means we have to find the probability where any of the lamp burning at the end of 1300 hours, So we have

Suppose i represents lamps

P (∑i from 1 to 25 (X_i > 1300)) = 1300

= P(X^{'}> \frac{1300}{25})                  where X^{'} represents mean time of a single lamp

= P (Z> \frac{52-50}{\frac{1}{\sqrt{25}}})                Z is the standard normal distribution which can be found by using the formula

Z = Mean Time (X^{'}) - Life time of each Lamp (50 hours)/ (SD/\sqrt{n})

Z = (52-50)/(4/\sqrt{25}) = 2.5

Now, P(Z>2.5) = 0.006 using the standard normal distribution table

Probability that a lamp will be burning at the end of 1300 hours period is 0.006

4 0
4 years ago
What is an equation of the line that passes through the points (4,3) and (7,3)​
Vika [28.1K]

Answer:

y = 3

Step-by-step explanation:

find out the slope

m = (3-3)/(4-7)

m = 0

so the line is horizontal

passing through the point (x,3)

x can be any value

so the equation is

y = 3

6 0
3 years ago
A traingle has a perimeter of 22 centimeters with a side of 7 centimeters with a side that is 7 centimeters long. the lengths of
Leokris [45]
The shortest side of the triangle is 10cm
3 0
3 years ago
What is the value of x?
charle [14.2K]
Hey Rireneb!

This is a pretty simple Geometry question, so I will explain it in-depth for you to understand clearly! What you have displayed in the image is an isosceles triangle, meaning that both base angles are congruent (to each other). You know that the angle opposite to the base is 93.5, so you can subtract that from 180 and get 180-93.5=86.5
So, your base angles must be equal AND equal 86.5 when added up. So you must do the following, 86.5/2, which would get you to the answer 43.35. So, 43.25 is the value of each base angle, meaning that x = 43.25. Finally, the most appropriate answer to your question would be option 2!

Hope I was able to help! If you need any more help, please let me know and I will further assist you.
3 0
4 years ago
Read 2 more answers
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