Answer:
Graph A
Step-by-step explanation:
≤ (less than or equal to) or ≥ (greater than or equal to) have solid lines because it can be equal to.
< (less than) or > (greater than) have dashed lines because it cannot be equal to.
Less than ( < or ≤ ) = shade under.
Greater than ( > or ≥ ) = shade over.
Answer:
The red dot in this picture would represent C. 4/5.
You have counting the first mark after 0 five marks going up to one.
The red dot is on the 4th mark, so therefore, you are at 4/5.
Hope this helps ;)
Answer:
h=-7
Step-by-step explanation:
-4(-6h - 7) = 9h + 10h - 7
24h+28=19h-7
Both side -28
24h+28-28=19h-7-29
24h=19h-35
Both side -19h
24h-19h=19h-19h-35
5h=-35
h=-7
Answer:
r = 4
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 5
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, r ) and (x₂, y₂ ) = (8, 9)
m = 
= 
= 9 - r = 5 ( subtract 9 from both sides )
- r = - 4 ( multiply both sides by - 1 )
r = 4
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
