Step-by-step explanation:
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Answer:0
Step-by-step explanation:
Simplifying
2x + -1x + 7 = x + 3 + 4
Reorder the terms:
7 + 2x + -1x = x + 3 + 4
Combine like terms: 2x + -1x = 1x
7 + 1x = x + 3 + 4
Reorder the terms:
7 + 1x = 3 + 4 + x
Combine like terms: 3 + 4 = 7
7 + 1x = 7 + x
Add '-7' to each side of the equation.
7 + -7 + 1x = 7 + -7 + x
Combine like terms: 7 + -7 = 0
0 + 1x = 7 + -7 + x
1x = 7 + -7 + x
Combine like terms: 7 + -7 = 0
1x = 0 + x
1x = x
Solving
1x = x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
1x + -1x = x + -1x
Combine like terms: 1x + -1x = 0
0 = x + -1x
Combine like terms: x + -1x = 0
0 = 0
Simplifying
0 = 0
The solution to this equation could not be determined.
Answer:
706.5 ft²
Step-by-step explanation:
A. Width of the rectangle
The formula for the area of a rectangle is
A = lw
But, l = 3w, so,
A = (3w)w
= 3w² = 12
w² = 4 Divided each side by 3
w = 2 ft Took the square root of each side
B. Length of rectangle
l = 3w = 6 ft
C. Diameter of circle
d = 5l = 5 × 6 = 30 ft
D. Radius of circle
d = 2r
r = d/2 Divided each side by 2
r = 30/2 = 15 ft
E. Area of circle
A = πr² = 3.14 × 15² = 3.14 × 225 = 706.5 ft²
The area of the circle is 706.5 ft².
Answer:
Step-by-step explanation:
We are give the following in the question:
We have to find the ration of the length of XY to the length XZ.
This, can be done as:
Thus, the ration XY:XZ is 5:14
For this case we have that by definition, the equation of a line in the point-slope form is given by:
Where:
m: It is the slope of the line and 
is a point through which the line passes.
We have the following equation of the slope-intersection form:
Where the slope is 
By definition, if two lines are perpendicular then the product of their slopes is -1.
Thus, a perpendicular line will have a slope:
Thus, the equation will be of the form:
Finally we substitute the given point and we have:
Answer:
Option B
