Answer:
I think 5
Step-by-step explanation:
Answer:
the desired equation is y = -2x + 1
Step-by-step explanation:
As we go from (-2, 5) to (0, 1), x increases by 2 and y decreases by 4. Thus, the slope of this line is m = rise / run = -4 / 2, or m = -2.
Starting with y = mx + b, insert the knowns:
1 = -2(0) + b. Then b = 1, and the desired equation is y = -2x + 1.
First find the area of the whole square. Even the part that isn't part of the area. Then find the area of the spots that aren't part of the shape. Then subtract that area from the area of the whole thing.
15×18=270
(9x12)+(4×5)=128
270-128=142
Area= 142ft^2
Answer:
The surface area of the larger prism is 4 times the surface area of the smaller one.
(which agrees with answer B in your list)
Step-by-step explanation:
Notice that the lateral surface area of prisms always consists of parallelograms, whose areas are given by the product base times height. = B x H
Therefore if the dimensions of the prism double, then the base and height of the parallelograms will double as well, making such individual ares of the lateral faces go from:
B x H to --> 2 B x 2 H = 4 (B x H)
that is 4 times the original lateral face's area.
with the faces for the top and bottom bases of the prism, something similar happens, so we conclude that the surface area of the larger prism is 4 times the surface area of the smaller one.
Answer:
30°, 60°
Step-by-step explanation:
Let x represent the measure of the smaller angle in degrees. Then the larger unknown angle is 2x, and the sum of the angles in the triangle is 180°:
x + 2x + 90° = 180° . . . the sum of the angles in the triangle
3x = 90° . . . . . . . . . . . . subtract 90°, collect terms
x = 30° . . . . . . . . . . . . . divide by 3; this is the smaller angle
2x = 60° . . . . . . . . . . . .this is the larger angle
The two angles that are not the right angle are 30° and 60°.
