Answer:
If you multiply the length and width it's already more than D and b so it's between 41 and 71 , I believe it's 71 though
1/7 (x - 3) = 5/7
1/7x - 3/7 = 5/7
1/7x - 3/7 + 3/7 = 5/7 + 3/7
1/7x = 8/7
1/7x(7) = 8/7(7)
X = 56/7
X = 8
Answer:
The support is 41 inches long.
Step-by-step explanation:
There's two ways we can do this: one with the diagonal formula and one without.
Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is 
. Let's put in those numbers:
Therefore, the support is 41 inches long.
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Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.
Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:
Again, the support is 41 inches long.
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
Two workers finished a job in 7.5 days.
How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?
let t = time required by one worker to complete the job alone
then
(t+8) = time required by the other worker (shirker)
let the completed job = 1
A typical shared work equation
7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1
multiply by t(t+8), cancel the denominators, and you have
7.5(t+8) + 7.5t = t(t+8)
7.5t + 60 + 7.5t = t^2 + 8t
15t + 60 = t^2 + 8t
form a quadratic equation on the right
0 = t^2 + 8t - 15t - 60
t^2 - 7t - 60 = 0
Factor easily to
(t-12) (t+5) = 0
the positive solution is all we want here
t = 12 days, the first guy working alone
then
the shirker would struggle thru the job in 20 days.
