Answer:
15 units
Step-by-step explanation:
The distance between two points can be found using the following formula:
Given points:
(-7, 5) and (2, -7)
<u>where:</u>
- x₁ = -7
- x₂ = 2
- y₁ = 5
- y₂ = -7
Substitute these points into the formula and simplify:
![\sf d=\sqrt{(2-(-7))^2+((-7)-5)^2} \ \textsf{[simplify the radicand]}\\\\ d=\sqrt{(2+7)^2+(-12)^2} \ \textsf{[simplify]}\\\\d=\sqrt{(9)^2+(-12)^2} \ \textsf{[evaluate the power]}\\\\d=\sqrt{81+144} \ \textsf{[add]}\\\\d=\sqrt{225}\ \textsf{[simplify]}\\\\d=15](https://tex.z-dn.net/?f=%5Csf%20d%3D%5Csqrt%7B%282-%28-7%29%29%5E2%2B%28%28-7%29-5%29%5E2%7D%20%5C%20%5Ctextsf%7B%5Bsimplify%20the%20radicand%5D%7D%5C%5C%5C%5C%20d%3D%5Csqrt%7B%282%2B7%29%5E2%2B%28-12%29%5E2%7D%20%5C%20%5Ctextsf%7B%5Bsimplify%5D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B%289%29%5E2%2B%28-12%29%5E2%7D%20%5C%20%5Ctextsf%7B%5Bevaluate%20the%20power%5D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B81%2B144%7D%20%5C%20%5Ctextsf%7B%5Badd%5D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B225%7D%5C%20%5Ctextsf%7B%5Bsimplify%5D%7D%5C%5C%5C%5Cd%3D15)
The distance between the two points is 15 units.
Learn more here:
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Answer:
the diameter is 9.59 cm
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
If you need a fraction just think of what equals 24 like this
Ex.
6/25 = .24
X-4/3 = 3x-4/7
First add 4/3 to each side -->x = 3x + 16/21
Then Subract 3x from each side -->-2x = 16/21
Then divide each side by -2 --->x = -3.81
Answer:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
Step-by-step explanation:
The volume of a rectangular prism of length L, depth W and height H is
V = L * W * H.
Thus,
in this case,
V = (2x + 1)(x - 2)(3x).
The order in which we multiply these quantities together is immaterial.
Working from left to right, we get:
V = (2x^2 - 3x - 2)(3x), and then:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
