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3 years ago

uppose that y varies inversely with x. Write an equation for the inverse variation. y = 2 when x = 5

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

4 0

Answer:

An equation for the inverse variation y = 2 when x = 5 is:

y=10/x

Step-by-step explanation:

Suppose that y varies inversely with x:

y=k/x

Write an equation for the inverse variation y = 2 when x = 5

Substituting y by 2 and x by 5 in the formula above:

2=k/5

Solving for k: Multiplying both sides of the equation by 5:

5(2)=5(k/5)

10=k

k=10

Then the equation is:

y=k/x

y=10/x

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The university is on a bearing of 050 degrees from the stadium and 300 degrees from the hospital. Mark the position of the unive

Licemer1 [7]

Answer:

Check Explanation

Step-by-step explanation:

The map isn't available, but, one can draw this bearings with the descriptions given

Angles for bearings are usually drawn, reading from the north direction.

A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.

For the sketch on the map.

On The map, draw a four-cardinal points' cross at the stadium draw a line from the bearing 050° from the stadium's four cardinal points' cross. Leave the line as it is.

Then, draw another four cardinal points' cross at the hospital and draw a line from the bearing 300° from the hospital's four cardinal points' cross.

Wherever the line from the hospital meets the line from the stadium, is where the University is located.

Hope this Helps!!!!

6 0

3 years ago

Describe and correct the error in writing an equation of the line shown

Rudiy27

Answer:

$y = -\frac{3}{5}x+4$

Step-by-step explanation:

Given:

$(x_1,y_1) = (0,4)$

$(x_2,y_2) = (5,1)$

The attachment completes the question

From the attachment, the slope of the line was calculated as:

$m = \frac{1-4}{0-5}$

This step is inaccurate because the slope of a line is calculated using

$m = \frac{y_2-y_1}{x_2-x_1}$

Which gives

$m = \frac{1-4}{5-0}$

$m = \frac{-3}{5}$

$m = -\frac{3}{5}$

The line equation is then calculated using:

$y -y_1 = m(x - x_1)$

Substitute values for m, x1 and y1

$y - 4 = -\frac{3}{5}(x - 0)$

$y - 4 = -\frac{3}{5}(x)$

Open bracket

$y - 4 = -\frac{3}{5}x$

Make y the subject

$y = -\frac{3}{5}x+4$

6 0

2 years ago

All of the following fractions are equal to

Studentka2010 [4]

Answer:

Except 4 out of 6

the answer is the third one

8 0

2 years ago

Read 2 more answers

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0

3 years ago

Answer ASAP<br> What is the volume of the triangular prism below?

natita [175]

Answer: 18- Hope this helps :)

(re-do with explanation)

Step-by-step explanation: The volume formula for a triangular prism is (height x base x length) / 2

All you must do is calculate it which is 4 x 3 x 3 = 36 and than you divide it by half and you get your answer- 18

5 0

3 years ago