Answer:
Remember that for a square of height H and length L, the area will be:
A = H*L
In this case, we know that the height is H = 4 units.
And the area is up to 48 square units
This means that the maximum possible area of this rectangle is 48 square units.
Then we have:
A ≤ 48 square units.
And we also could add:
0 square units < A ≤ 48 square units.
Now we can replace A by H*L = L*(4units)
0 square units < L*(4 units) ≤ 48 square units.
Now we need to divide all 3 sides by 4 units.
(0 square units)/(4 units) < L ≤ (48 square units)/(4 units)
0 units < L ≤ 12 units.
This is the range of lengths that Saritha can use to reconstruct the rectangle.
Now if we define b as the length of the bases, then we will use:
b = height = 4units.
Then:
1b = 4units.
(1 b/4units) = 1
This means that:
12 units = (12 units)*1 = (12 units)*(1 b/4units) = (12/4) b = 3 b
Then the range of possible values of L is:
0b < L ≤ 3b
The answer to this question is x ≤ 30
-7x-3x+2=-8x-8 | combine like terms
-10x+2=-8x-8 | add 8x
-2x+2=-8 | subtract 2
-2x=-10 | divide by -2
x=5
To find the linear equation, use the slope formula y = mx+b, where b is the value of the y-intercept and m is rise/run.
The line rises 1 unit and runs (left to right) -5 units. (you could also say the line runs -1 units and runs 5 units, they will both give the same answer). Rise/run, 1/-5 = -1/5.
The y-intercept is the y value where the line touches the y-axis. In this case, it is +1.
Plug the information into the equation. m = -1/5 and y = 1. y = -1/5x + 1
Answer:
A. y = 1/2 x.
Step-by-step explanation:
Use the point-slope form of a linear (straight line) function:
y - y1 = m(x - x1)
m = 1/2, x1 = 4 and y1 = 2, so:
y - 2 = 1/2(x - 4)
y = 1/2x - 2 + 2
y = 1/2 x (answer)
