Answer:
1331:216
Step-by-step explanation:
Given the ratio of the lengths of two similar solids as a:b
The ratio of the surface areas = 
The ratio of the volume = 
We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36
Therefore:
Since the ratio of the lengths is 11:6
The ratio of their volumes = 
=1331:216
The ratio of the volume of the two similar geometrical solids is 1331:126.
Answer:
Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);
Step-by-step explanation:
even after a reflection over the x-axis, each points distance from the x-axis will stay the same
the x-coordinates don't change because the distance from the y-axis stays the same
the picture below shows points of Q'R'S'T', just connect the vertices
50^2 = 50 to the power of 2 = 2.5 × 10^3
Explanation:
(50) to the 2nd power or simply '50 to the 2nd' is obtained by multiplying 2 times the base 50 by itself. So,
50^2 = 50 × 50 = 2.5 × 10^3
Note: We say that 50 is the base, 2 is the exponent, and the whole thing or the result is a power of 50.
W= width
L= length= 2W-4
Perimeter= 70
FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W
FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22
CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70
ANSWER:
length= 22 inches
width= 13 inches
Hope this helps! :)
The slope, if increased, would make the line y=2x-7 steeper. If you were to increase the y intercept, you would just move the line, not tilt it. Suggest changing it to 4x-7 = y or 8x-7= y, if you increase the slope, it'll make it steeper.
