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Yakvenalex [24]
4 years ago
10

Solve the equation for y. Then find the value of y for each value of x.

Mathematics
1 answer:
asambeis [7]4 years ago
5 0

Answer:

The answer is: f(-3) = 11/5; f(0) = 17/5; f(3) = 23/5

Step-by-step explanation:

2x - 5y = 17

-5y = -2x + 17

y = 2/5x + 17/5

f(-3) = 2/5(-3) + 17/5 = -6/5 + 17/5 = 11/5

f(0) = 2/5(0) + 17/5 = 17/5

f(+3) = 2/5(3) + 17/5 = 6/5 + 17/5 = 23/5

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A rectangle with a length of x+5 has a perimeter of 4x+14 a. Write an equation for the width of a rectangle in terms of x b. Sup
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Answer:

B : Length is 12, Width is 9

D: Area is 108

Step-by-step explanation:

Finding x:

Since the Perimeter is 42, subtract 14 from 42 to get 28. Then divide that by 4 to get 7. x = 7. Since x = 7 then 7 + 5 = 12. So the length is 12.

Figuring out the width:

When we find the perimeter we add all the sides, so 12 + 12 = 24 and 42 - 24 = 18. Divide 18 by 2 to get 9 and then add 12 + 12 + 9 + 9 just to check your answer

Since the you know the legnht and width, you now have to multiply them to fine the area. 12 x 9 = 108

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3 years ago
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The equation of the line passing through the points (−10, 0) and (−8, 20) can be expressed as y = mx + b. Give the value of b.
grigory [225]

(-10, 0) and (-8,20)

y=mx+b

here m is slope and b is y intercept

firstly we have to find the value of m , that is slope

formula is

m=\frac{(y_{2} - y_{1})}{(x_{2}- x_{1})}

So m=\frac{20-0}{-8-(-10)}= \frac{20}{2}=10

Plug in the function\

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Now plug any one point in the function to find the value of b

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Mount Belinda is the highest point in the South Sandwich Islands, with a peak of 1,370 meters above sea level. The South Sandwic
AveGali [126]

Question is not complete. Complete question is;

Mount Belinda is the highest point in the South Sandwich Islands, with a peak at about 1,370 meters above sea level. The South Sandwich Trench, which lies about 100 kilometers (62 miles) to the east of the South Sandwich Islands, is about 8,428 meters below sea level (at its lowest point).

Part A: What is the difference in elevations between Mount Belinda and the South Sandwich Trench?

Part B: Is the elevation halfway between the peak of Mount Belinda and the South Sandwich Trench above sea level or below sea level? Give your explanation without calculating the exact value.

Part C: What elevation is halfway between the peak Mount Belinda and the South Sandwich Trench?  

Answer:

A) 100478.86 metres

B) Explained below.

C) 50239.43 metres

Step-by-step explanation:

I have attached an image showing the elevations as depicted in the question.

MB represents peak of Mount Belinda while SS represents lowest point of South Sandwich Islands.

A) Now, total vertical distance from peak of MB to lowest point of SS is;

8428 + 1370 = 9798 metres

Since the horizontal distance between MB and SS is 100000 metres, then we can use pythagoras theorem to find the Elevation between MB and SS.

If the Elevation is x.

Thus;

x = √(9798² + 100000²)

x = 100478.86 metres

B) The Elevation between peak of MB and lowest point of SS will be halfway below the sea level because the distance from the lowest point of SS from the sea level is 5 times bigger than the distance from peak of MB to the sea level.

C) The halfway Elevation between peak MB and lowest SS will be;

100478.86/2 = 50239.43 metres

3 0
3 years ago
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