Answer:
You can plot both linear equations on the graph to show where they intersect.
Step-by-step explanation:
Once you find where they intersect, you have found the solution.
Answer: 89 will go in the box
This means the exact distance between the two given points is
which approximates to roughly 9.4339811
===========================================================
Explanation:
To get that answer, we can apply the distance formula
(x1,y1) = (-1,-5) is the first point
(x2,y2) = (4,3) is the second point
Plug the coordinates into the distance formula
![d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%28-1-4%29%5E2%20%2B%20%28-5-3%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%28-5%29%5E2%20%2B%20%28-8%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B25%20%2B%2064%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B89%7D%5C%5C%5C%5Cd%20%5Capprox%209.4339811%5C%5C%5C%5C)
--------------------------
Alternative Method:
You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.
After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get
as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.
Answer: 9702
Step-by-step explanation: 154*63=9702
Using the Distributive property:
6p(p-8)
6p*p - 8*6p
6p² - 48p
Hope this helps!