Step-by-step explanation:
The Pythagorean theorem used in right-angled (equilateral) triangles is a relationship between the sides of a right-angled triangle, where the sum of the square of the legs is equal to the square of the hypotenuse.
If a and b are legs, and c is the hypotenuse, then a2 + b2 = c2.
Because the triangle is right angled, there is no greater side length in the triangle, so an unlimited number of Pythagorean positions can be produced by flipping the sides.
You are looking for how many miles the car went in 1 hour. You know it went 500 miles in 6.7 hours. To find how many it went in 1 hour simply Divide 500 miles by 6.7 hours.
500 miles/6.7 hours = ____ miles in 1 hour
By evaluating the given relation, we conclude that the correct options are A, D, and G.
<h3>
How to check if the points are on the graph?</h3>
We have the relation:
k = ∛(V/7)
Such that this relation gives us pairs of the form (V, k).
So, to check if the points belong to the graph of the relation, we need to evaluate the points on the given relation and see if the relation is true.
A) (0, 0) gives:
Evaluating in V = 0
k = ∛(0/7) = 0
So this point belongs.
B) (1, 1) gives:
k= ∛(1/7) = 0.52
So we have the point (1, 0.52) and the point (1, 1) then does not belong to the graph.
We just need to do that for all the points, evaluate V and see if k gives the same value as in the point.
With this method, we will see that the correct options are:
D) (7, 1)
k= ∛(7/7) = 1
G) (56, 2)
k= ∛(56/7) = ∛(8) = 2
If you want to learn more about evaluations, you can read:
brainly.com/question/4344214
<u>Answer:</u>
x = -3/7
<u>Step-by-step explanation:</u>
We are given the following equation for which we have to solve for x:

So we will start by expanding the equation by multiplying the common factor with the brackets to get:

Arranging the like terms together (variables on one side of the equation and constants on the other side) to get:

Therefore, x = -3/7.