X - 2y = -10 --> x = 2y -10
3x + 5y = 25 --> 3(2y-10) + 5y = 25 --> 11y - 30 = 25 --> 11y = 55 --> y = 5
x = 2y -10 --> x = 2(5) -10 --> x =10 -10 --> x =0
Answer (0,5)
Answer:
(2,3)
Step-by-step explanation:
I did this by using the equation that was given. y=x+1.
This mean that the starting point would be the coordinate (0,1) and the x is the slope, which means that from coordinate (0,1) I will go up one and one to the right until I intersected with coordinate (2,3).
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:
Let x be the 1st number
x + 9 be the second number
Equation:
x + x+9 = 171
Solution:
2x + 9 = 171
2x = 171 - 9
2x = 162
x = 81
x + 9 = 90
81 + 90 = 171
So, this creates a triangle once again. If we imagine a slide, the slide itself would be the hypotenuse of the triangle, then if there's a ladder leading up to the slide, that would be the vertical length we're looking for. The feet across the ground would be the distance from the bottom of the slide to the bottom of the ladder.
We can use the Pythagorean theorem to find the missing side length, as this would create a right triangle. | 8^2 + b^2 = 10^2 | 64 + b^2 = 100 | b^2 = 36 | b = 6 feet | The slide is 6 feet high at its highest point.
