Answer:
B. y = |2x| - 2.
Step-by-step explanation:
If we start with y = 2x:
this passes through the origin and has a slope of 2.
y = |2x| means the absolute ( positive) values only, so the part of the line below the x axis is reflected in the axis to form a V shaped graph.
So we have a V shaped graph with the vertex at (0, 0).
Then -2 brings the vertex from (0, 0) to (0 -2) so we get:
y = |2x| - 2.
Answer:
25
Step-by-step explanation:
3a=30... equation 1
2a+2b=30... equation2
equation 2 => a+b=15 ... equation 3
equation 1 => a = 10 ... equation 4
equation 4 & equation 3 => b = 5
5^2 = 25
9514 1404 393
Answer:
(b) 458 ft²
Step-by-step explanation:
The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.
The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...
(12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area
__
The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...
7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft
Then the sum of rectangular face areas is ...
(48 ft)(5 ft) = 240 ft² . . . . rectangular face area
The total surface area is then ...
2×front area + rectangular face area
= 2×109 ft² +240 ft² = 458 ft² . . . . total surface area
Answer:
there are several ways to write, and find slope...see explanation
Step-by-step explanation:
Way 1: slope Intercept- y=mx+b
step 1: find where the line crosses the Y axis(the one running up and down...thats is your "b" so if the line crosses at -2...it would be this: y=mx-2
Step 2:from the point where the line crosses the Y axis, count how many up/down and Left/right to the next point..so if you go up 2 right 1, it would look like this y=2x-2
Up=positive
down=negative
left=negative
right=positive
1 1/2 because it is the answer of 4 - 1 1/2
