Answer:
40
Step-by-step explanation:
11x+13=90
11x=77
x=7
49-9=40
Answer:
(4, 2 )
Step-by-step explanation:
Given the 2 equations
3x + y = 14 → (1)
7x - 4y = 20 → (2)
Rearrange (1) making y the subject by subtracting 3x from both sides
y = 14 - 3x → (3)
Substitute y = 14 - 3x into (2)
7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side
7x - 56 + 12x = 20
19x - 56 = 20 ( add 56 to both sides )
19x = 76 ( divide both sides by 19 )
x = 4
Substitute x = 4 into (3) for corresponding value of y
y = 14 - 3(4) = 14 - 12 = 2
solution is (4, 2 )
Answer: 1.9 inches
Step-by-step explanation:
- the equation to find the volume of a cylinder is V = π r^2 h
- so we can just change this equation around to H = V / π r^2
- so H = 384/ π 8^2 = 1.91 or 1.9
hope this helps :)
Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula 
. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is 
.
2) Next, use the point-slope formula 
to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the 
, 
and 
into the formula.
Since represents the slope, substitute in its place. Since and represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
