find two numbers that have square roots between 7 and 8. one number should have a square root closer to 7 and the other should h
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The distance between the points (d) is found using the Pythagorean theorem.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1
_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1
_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.
8x + 6 - 2x = 34x
Simplify 8x +6 - 2x to 6x + 6:
6x + 6 = 34x
Subtract 6x from both sides:
6 = 34x- 6x
Simplify 34x - 6x to 28x:
6 = 28x
Divide both sides by 28:
= x
Simplify to 
:
= x
Now switch sides and the answer is:
x =
:) <3
Simplify 8x +6 - 2x to 6x + 6:
6x + 6 = 34x
Subtract 6x from both sides:
6 = 34x- 6x
Simplify 34x - 6x to 28x:
6 = 28x
Divide both sides by 28:
Simplify
Now switch sides and the answer is:
x =
:) <3