Answer:
equation: 2.75 g/cm^3 * 1 m *3 m* (100 cm/1 m)^2 *4 cm * (1 kg/1000 g)
Step-by-step explanation:
countertop mass, m =?
density, ρ = 2.75 g/cm^3
wide, w = 1 m
long, l = 3 m
thick, t = 4 cm
countertop volume, V = w*l*t = 1 m *3 m*4 cm* (100 cm/1 m)^2
Isolating mass from density definition gives
ρ = m/V
m = ρ*V
m = 2.75 g/cm^3 * 1 m *3 m* (100 cm/1 m)^2 *4 cm * (1 kg/1000 g)
When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
Answer:
B) -7m - 8 = m - 4
D) m - 4 = -7m - 8
E) -8 - 7m = -4 + m
Step-by-step explanation:
Solve all of the equations to see if they end up with the same result. Start with the original:
-2m - 5m - 8 = 3 + (-7) + m
-7m - 8 = -4 + m (now we know B and D and E are correct)
-7m - m - 8 = -4 + m - m
-8m - 8 = -4
-8m - 8 + 8= -4 + 8
-8m = 4
Answer:
1.y = -5/3 = -1.667
2. y = -3/2 = -1.500
Step-by-step explanation:
90 + -1 = -91
-45 + -2 = -47
-30 + -3 = -33
-18 + -5 = -23
-15 + -6 = -21
-10 + -9 = -19
-9 + -10 = -19
-6 + -15 = -21
-5 + -18 = -23
-3 + -30 = -33
-2 + -45 = -47
-1 + -90 = -91
1 + 90 = 91
2 + 45 = 47
3 + 30 = 33
5 + 18 = 23
6 + 15 = 21
9 + 10 = 19
36 tens or 360 is the answer.
