(1, 5), b/c both lines pass through this point - is the correct answer.
Answer:
<em> The distance from your eyes to the stage is 8.85 ft</em>
Step-by-step explanation:
Your distance to the stage is 6 feet
Your eyes are 6.5 feet tall
You need to find the distance of your eyes towards the stage.
This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.
<u>Observe the attached image.</u>
Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.
So, using the Pythagorean theorem we have:

Where

therefore:

2. y=2x+3
When x =0 and y= something, the 'something' is your y-intercept which is b in the y=mx+b formula. Then we look at what is changed in the x and y value to determine the m part. the x increase by 1 and y increase by 2 so the m part is 2.
3. y=-7x
Same as the last one, there is no y-inter this time because the y=0 when x=0/ So the y deceased by 7 each time and x incease by 1 so it is -7 for the m part.
Answer:
The composite figure is made up of a rectangular prism and square pyramid
Step-by-step explanation:
The figure on top is square pyramid since the base is a square and the 4 sides are triangles. The bottom is a rectangular prism since the figure is made up of side rectangular faces
2.) 6k - 9
*can't see #3*
4.) -9p + 17
5.) -15b^2 - 1b + 6c
6.) -4j