Answer:
Step-by-step explanation: •Subtract 2x from both sides of the equation.
-3y = 12 - 2x
•Divide each term by -3y = 12 - 2x by -3.
-3y/-3 = 12/-3 + -2x/-3
•Cancel the common factor of -3.
12/-3 + -2x/-3
•Divide y by 1.
y = 12/-3 + -2x/-3
•Simplify each term.
•Divide 12 by -3.
y = -4 + -2x/-3
•Dividing two negatives values results in a positive value.
y = -4 + 2x/3
Answer:
The height of tree house is 70.71 feet
Step-by-step explanation:
We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground
Refer the attached figure
Length of rope AC = Hypotenuse =100 feet
The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =
We are supposed to find the height of tree house i.e.AB = Perpendicular
So, Using trigonometric ratio

Hence The height of tree house is 70.71 feet
Answer:
46% of Xander's friends prefer to stay home on Friday nights.
Step-by-step explanation:
Formula

As given

i.e
Zanders friends prefer to stay home on Friday night = 23
Total numbers of Zanders friends are 50.
Part value = 23
Total value = 50
Put in the formula


Percentage = 46%
Therefore 46% of Xander's friends prefer to stay home on Friday nights.
Answer:
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Step-by-step explanation:
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Answer:
9n-3
Step-by-step explanation:
Let's set up an expression:
2n-1-(-7n+2)
Now we simplify the expression
2n-1+7n-2
Combine like terms
9n-3