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.
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Answer:
X = 54
Step-by-step explanation:
Let's solve your equation step-by-step.
1/2x−4=1/3x+5
Step 1: Subtract 1/3x from both sides.
1/2x−4−1/3x=1/3x+5−1/3x
1/6x−4=5
Step 2: Add 4 to both sides.
1/6x−4+4=5+4
1/6x=9
Step 3: Multiply both sides by 6.
6*(1/6x)=(6)*(9)
x=54
Hello! :)
To solve you equation, we will first Distribute
(-3) (w) + (-3) (3) + 4w
= -3w + -9 +4w
Now, we will combine like terms
-3w + -9 + 4w
= (-3w + 4w) + (-9)
= w + 9
Hope this helped you!
THEDIPER
-kxy=4x^2-9y^2
-kx=(4x^2/y)-9y
-k=4x/y-9y
k=-4x/y+9y
