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1 year ago

Find all values of y such that the distance between (7,y) and (-3,8) is 18 Y=

Mathematics

1 answer:

patriot [66]1 year ago

7 0

To calculate the distance between 2 points we will use the following equation:

$D=\sqrt[]{(x_2-x_1)^2-(y_2-y_1)^2}$

For this exercise we have the following data:

$\begin{gathered} D=18 \\ x_1=7 \\ x_2=-3 \\ y_1=y \\ y_2=8 \end{gathered}$

We plug the values into the distance equation and solve for the unknown Y

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Jim is designing a seesaw for a children’s park. The seesaw should make an angle of 45 degrees with the ground, and the maximum

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Answer:

B) 1.4

Step-by-step explanation:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

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3 years ago

The answer and how to solve it

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3 years ago

A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space in

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3 years ago

A jet is coming in for a landing. It's currently 25,000 feet in

Mariana [72]

The angle of depression is 29.0521°. So it is a safe landing.

Step-by-step explanation:

Step 1:

The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.

So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.

To determine the value of x, we calculate the tan of the given triangle.

$tanx = \frac{opposite side}{adjacent side}.$

Step 2:

The length of the opposite side = 25,000 feet.

The length of the adjacent side = 45,000 feet.

$tan x = \frac{25,000}{45,000} = 0.5555.$

So x = 29.0521°. Since x < 30°, it is a safe landing.

8 0

3 years ago

Solve the system. <br> y= -2x + 1<br><br> y= 2x - 3

Neporo4naja [7]

Equation 1: y = -2x + 1

Equation 2: y = 2x - 3

Since both equations already have y isolated, we are able to simply set the right side of both equations equal to each other. Since we know that the value of y must be the same, we can do this.

-2x + 1 = 2x - 3

1 = 4x - 3

4 = 4x

x = 1

Then, we need to plug our value of x back into either of the original two equations and solve for y. I will be plugging x back into equation 2 above.

y = 2x - 3

y = 2(1) - 3

y = 2 - 3

y = -1

Hope this helps!! :)

5 0

3 years ago

Read 2 more answers