Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call 
the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is 
.
The wire length 
is 14 ft longer than height , hence
.
Thus we get a right triangle with hypotenuse 
, perpendicular , and base 
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution 
will give the triangle base length of 
which is negative; therefore, we disregard it and pick the solution 
.
Hence, the height of the pole is 105ft.
The perimeter of a rectangle is the sum of its sides, which are two widths and two lengths:
Since the length is twice the width, we have 
, and the formula for the perimeter becomes
So, we have
Answer:
x = 0, y = 7
Step-by-step explanation:
Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.
In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.
3x - 10y=-70
-<u> 4x +9y = 63</u>
-x + y = 7
Now, for substitution, the equation must be set to a variable.
-x + y = 7
y = x + 7
Next, plug the equation in where applicable in another equation.
4x +9(x + 7) = 63
4x + 9x + 63 = 63
13x = 0
x = 0
The final step of substitution is to plug the known variable into an equation to find the other variable.
3(0) - 10y=-70
0 - 10y = -70
10y = 70
y = 7
I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.
The answer is C) 0
Because math
X + Y + Z = 8
2x = Z - 2
X + Z = 5
X = 1
1 + Y + Z = 8
Y + Z = 6
1 + Z = 5
Z = 4
1 + Y + 4 = 8
5 + Y = 8
Y = 3
The variables are 1, 3, 4.
