Answer:
19
Step-by-step explanation:
The opposite sides are equal, so:
PS = 3y+1
RS = 4y+2
QR = 3y+1
PQ = 4y+2
Therefore, we can set the perimeter 90 = PS+RS+QR+PQ
90 = (3y+1) + (4y+2) + (3y+1) + (4y+2), or,
90 = 2(3y+1) + 2(4y+2)
90 = 6y+2 + 8y+4
90 = 14y + 6
84 = 14y
y = 6
Then, we go back to the question. It's asking for the length of PS. PS = 3y+1, so we plug in 6 for y
3(6)+1
18 + 1 = <u>19</u>
Answer:
Formula of the volume for a cube= s^3 (side, length, width, or edge is acceptable for s)
Formula of the volume for a rectangular prism= lwh (length*width*height)
<u><em>= 50 cubic in. more</em></u>
Step-by-step explanation:
cube: 6^3
6x6x6
36x6
216
rectangular prism: 10x4x4
10x16
160
cube - rectangular prism= Difference between cube and rectangular prism
216 - 160 = 50
<em>*REMEMBER that when dealing with volume the units are cubic (whatever), in this case, its cubic inches(in^3).</em>
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 3x + 5 + x^2 = x^2 + 3x + 5
Answer: Choice D
Answer:
a.
Step-by-step explanation:
A is the only number line that correctly shows the locations of all given values.
Answer=A
***EDIT***
Okay, so if you look at the number line, you notice that the distance between one line and the next is equal to 1/4. When we move to the left, we decrease in value. When we move to the right, we increase in value.
So, knowing that, lets look at A and see if all of the numbers are correctly placed.
1/2 should be two lines to the right of 0 (since distance between one line and the next is equal to 1/4, and 1/4+1/4=2/4 or 1/2)
-4 is a relatively easy value to find, since its line is labeled.
-2 3/4 should be three lines to the right of -2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of -2 u get -2 3/4)
(-2-3/4=-2 3/4)
1 1/4 should be three lines behind 2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of 2 you get 1 1/4)
(2-3/4=1 1/4)
