Answer:
2. 3
3. 125
Step-by-step explanation:
2. You have four squares with a total area of 36. Divide the area by 4 to find the area of 1.
36/4=9
The Area of 1 square is 9. That means that the side of a square is 3.
3. A cube has a side of 5 inches. All the sides of a cube are the same, and the volume formula is l*w*h = V
You can input the number into the equation. 5 * 5 * 5 = V
You can also read this as 5^3.
The Volume = 125
Some of those numbers are negative and some of the other numbers aren’t negative
Answer:
Step-by-step explanation:
Slope of line passing through 
and 
is given by,
m = 
From the graph attached,
Slope of the line passing through (-3, 0) and (0, 5) = 
= 
Line passing through a point (h, k) and slope 'm' will be,
y - h = m(x - k)
Since, line passing through (11, 0) is parallel to the line given in the graph,
Slope of the parallel line will be same as
Equation of a line passing through (11, 0) and slope =
y - 0 = 
y =
Now satisfy this equation with the points given in the options,
Option (1)
For (1.67, -15.59),
-15.59 = 
-15.59 = -15.55
False.
Therefore, given point doesn't lie on the line.
Option (2)
For (-0.33, -13.59)
-13.59 = 
-13.59 = -18.88
False
Option (3)
For (0.67, -18.59),
-18.59 = 
-18.59 = 17.22
False
Option (4)
For (1.67, -15.59)
-15.59 =
-15.59 = -15.55
False.
Therefore, none of the points given in the options are lying on the line.
Answer:
D. 4(2x² + 4x - 6); 130.0 inches
Step-by-step explanation:
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x2+4x−6; 22.0 inches
2x2+4x−6; 32.5 inches
4(2x2+4x−6;) 88.0 inches
4(2x2+4x−6;) 130.0 inches
Perimeter of a square = 4 * side length
1- First square pillow
length = 2x²+1 in
Perimeter of first pillow = 4 * (2x²+1) in
Second square pillow
length = 4x-7 in
Perimeter of second pillow = 4(4x-7) in
Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow
Total ribbon length required = 4(2x²+1) + 4(4x-7)
Factorise
4 is the common factor
=4(2x²+1)+(4x-7)
=4(2x²+1+4x-7)
=4(2x²+4x-6)
Total ribbon length required=4(2x²+4x-6)
If x=3.5
Total ribbon length required=4(2x²+4x-6)
=4{2(3.5)²+4(3.5)-6}
=4{2(12.25)+14-6)
=4(24.5+14-6)
=4(32.5)
=130.0 inches
1/8+ 1/4(2/8)+ 3/8+ 1/2(4/8)+ 5/8+ 3/4(6/8)+ 7/8= 28/8 = 3 1/2
