Answer:
Distributive Property
Step-by-step explanation:
They distributed the -3 to x and 4. In this case, to distribute the -3, you multiply it to each term.
-3 × x = -3x.
-3 × 4 = -12.
-3x - 12
Answer:
19.) r = -4 20.) r = 1
Step-by-step explanation:
19.) Because we know the slope and have some points, we can use point-slope form to find the equation.
Point-slope form is:
y - y1 = m(x - x1)
Substitute the numbers into the equation:
y - 3 = 7/6(x - 1)
y - 3 = 7/6x -7/6
y = 7/6x + 11/6
Now that we know the equation, we can put in the x value to find the y (In this case, y = r):
r = 7/6(-5) + 11/6
r = -35/6 + 11/6
r = -4
20.) Because the slope is undefined, that means on the graph, the line will appear straight and vertical. This means the equation will be something like x = a number.
We have the point (1,4). Since we know that the x value will never change, we know that r will have to equal 1 as well.
r = 1
The question is incomplete.Here is the complete question.
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?
Answer: It must be 392 inches or approximately 33 feet.
Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of <u>proportionality</u>, i.e., if divided, the result is a constant.
For the first load:
width = 6in
height = 4in
length = 13ft or 156in
weight = 800lbs
Then, constant will be:


k = 1300
For the similar beam:

L = 49.8
L = 392in or 32.8ft
A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.
Answer:
1.11.83
2. 20.12
3. 28.28
4. 33.91
5.80.62
6.24.08
7.17.32
8. 15.81
9. 16.85
10. 28.18
Step-by-step explanation:
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