Answer:
The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is 3 unit(s)
Step-by-step explanation:
Give points:
Center of dilation
The distance in the x-coordinates fro to can be given by
Translate it up, translate it down, translate it to the right, translate it to the left, stretch it vertically, stretch it horizontally
Answer:
135 small cubes fill the prism
Step-by-step explanation:
Find the volume of the prism.
V = l * w * h
l = 2 1/4 = 2.25
w = 3/4 = 0.75
h = 1 1/4 = 1.25
V = 2.25 * 0.75 * 1.25
V = 2.109375
I wouldn't round this quite yet.
V of 1 small cube = 1/4 * 1/4 * 1/4 = .015625
So divide the volume of the prism by the volume of the small cube
2.109375/0.015625 = 135
<span>1.
Photo description: A picture of the Eiffel tower, to be stuck on a mat.
Dimensions (including units): 4 in x 6 in
2. Since 2x would be added to each dimension:
Length: 6 + 2x (inches)
Width: 4 + 2x (inches)
3. Area: A = LW = (6+2x)(4+2x) square inches
4. F: (6)(4) = 24, O: (6)(2x) = 12x, I: (2x)(4) = 8x, L: (2x)(2x) = 4x^2
Polynomial expression: Adding the FOIL terms up: 4x^2 + 20x + 24
5. The area should be in square inches, since we multiplied length (in inches) by width (in inches).
6. Multiply factors using the distribution method:
(6+2x)(4+2x) = 6(4+2x) + 2x(4+2x) = 24 + 12x + 8x + 4x^2 = 24 + 20x + 4x^2
This is identical to the expression in Part 4.
7. x: 24 + 20x + 4x^2
If x = 1.0 in: Area = 24 + 20(1) + 4(1)^2 = 48 in^2
If x = 2.0 in: Area = 24 + 20(2) + 4(2)^2 = 80 in^2
8. If a white mat costs $0.03 per square inch and a black mat costs
$0.05 per square inch, determine the cost of each size of black and
white mat.
x Total area of mat Cost of white mat Cost of black mat
1.0 in, A = 48 in^2, (0.03)(48) = $1.44, (0.05)(48) = $2.40
2.0 in, A = 80 in^2, (0.03)(80) = $2.40, (0.05)(80) = $4.00
9. The cheapest option would be the white mat with 1-in margins on all sides, which would cost $1.44. Without any further criteria on aesthetics or size limitations, this is the most viable option.</span>
Change 5/8 and 3/10 so they have the same denominator
5/8×5/5=25/40
3/10×4/4=12/40
25/40+12/40=37/40
5/8+3/10=37/40