Y = |x| is a v-shaped graph that opens up and have vertex (0, 0).
Now we need to see each change done to it.
y = -|x| makes every y-coordinate its additive inverse, so y = -|x| still has the vertex at (0, 0), but now is turned downward.
y = -|x| + 2 can be changed to
y - 2 = -|x|
Now y was replaced by y - 2. When y is replaced by y - k, the graph shifts vertically k units. In this case, k = 2, so the graph shifts up 2 units. The vertex is now at (0, 2).
Vertex: (0, 2)
Domain: all real numbers
Range: all real numbers less than or equal to 2.
<u>Given</u><u>:</u>
- Area of rectangular prism ( cuboid ) = 448 cm²
<u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u>
Find the height, h ?
<u>Formula </u><u>used </u><u>:</u>
Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )
<u>Solution</u><u>:</u>
We know that that,
Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )
=> 448 = 2 ( 14 × 6 + 6 × h + h × 14 )
=> 448 = 2 ( 84 + 6h + 14h )
=> 448 = 2 ( 84 + 20h )
=> 448 = 168 + 40h
=> 40h = 448 - 168
=> 40h = 280
=> h = 280/40
=> h = 7 cm
1. Strategy I would use
Let me show you an strategy:
<u>Break apart strategy:</u>
The strategy of break apart numbers (Place Value) consists in the decomposition or separation of numbers. We can break both numbers down to place value and add each, starting with the largest or keep one number intact and only break second number down by place value and adding each place. Anyway, using this strategy we have:
2 + 8 = ?
2 breaks into 1 plus 1 (1 + 1), 8 breaks into 4 plus 4 (4 + 4), so by associative property:
(1+4)+(1+4) = 5+5=10
2. Explain how I decided.
This strategy is good to add larger numbers. In this way, we may break larger numbers up into hundreds, tens, ones, then add. This is an easy way to find additions.
Y - 3 = 12 (x - 4)
y - 3 = 12x - 48
y = 12x - 45 is your answer
(edit)
y - 3 = 1/2 (x - 4)
y - 3 = 1/2x - 2
y = 1/2x + 1 is your answer
Answer:
0.80 cents
Step-by-step explanation:
5.01-4.21 is 80 cents in pretty sure