Answer:
1. (4, 3) and (8, 6)
2. Yes. The line shows a direct proportion. y = 0.75x
Try (20, 15) in the equation.
15 = 0.75(20)
15 = 15
Point (20, 15) works in the equation, so point (20, 15) is on the line.
3.
Let x = 100.
y = 0.75x
y = 0.75 × 100
y = 75
Since x = 100 gives y = 75, point (100, 75) is on the line.
4.
Let x = 90
y = 0.75x
y = 0.75 × 90
y = 67.5
For x = 90, y must be 67.5. Since this point is (90, 68), it is not on the line.
Linear dimensions will be in the ratio
12/18 = 2/3
areas (all of them) will have the ratio
4/9
volumes will have the ratio 8/27
9514 1404 393
Answer:
Step-by-step explanation:
The perimeter of a rectangle is given by ...
P = 2(L +W) . . . . . where L and W represent the length and width
Filling in the given values, we have ...
24 = 2(y +x)
Solving for y, we get ...
12 = y + x . . . . . divide by 2
y = 12 -x . . . . . . subtract x
The length y is the difference between 12 and the width x.
__
We want both x and y to be non-negative, so possible values of y range from 0 to 12.
<span>Answer:
The most important actions the Congress took then, were the Declaration of Independence and the Articles of Confederation. The Second Continental Congress also began to print money.</span>
Answer:
7
Step-by-step explanation:
You can convert the fourth square roots to
. Using the product of powers rule, we can add the four terms' exponents, resulting in
, which is 7.