yes, because there is a lot of variability in the grammar book data.
The equation of a line that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
find slope
slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(-3,2) and (2,1)
slope=(1-2)/(2-(-3))=(-1)/(2+5)=-1/5
pikc a point
if we pick (-3,2)
(x1,y1)
x1=-3
y1=2
y-2=-1/5(x-(-3))
y-2=-1/5(x+3)
that is D
Answer:
See below
Step-by-step explanation:
1.
-6(a + 8)
Distribute the -6.
-6a - 48
2.
4(1 + 9x)
Distribute the 4.
4 + 36x or 36x + 4
3.
6(-5n + 7)
Distribute the 6.
-30n + 42
4.
(9m + 10) * 2
Rewrite.
2(9m + 10)
Distribute the 2.
18m + 20
5.
(-4 - 3n) * -8
Rewrite.
-8(-4 - 3n)
Distribute the -8.
32 + 24n or 24n + 32
6.
8(-b - 4)
Distribute the 8.
-8b - 32
7.
(1 - 7n) * 5
Rewrite.
5(1 - 7n)
Distribute the 5.
5 - 35n or -35n + 5
8.
-6(x + 4)
Distribute the -6.
-6x - 24
9.
5(3m - 6)
Distribute the 5.
15m - 30
10.
(-6p + 7) * -4
Rewrite.
-4(-6p + 7)
Distribute the -4.
24p - 28
11.
5(b - 1)
Distribute the 5.
5b - 5
12.
(x + 9) * 5
Rewrite.
5(x + 9)
Distribute the 5.
5x + 45
Answer:
3.75 feet
Step-by-step explanation:
The length of the frame is 3 times the width.
Let the width be x.
The length will be 3x.
Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.
The perimeter of a rectangle is:
P = 2(L + W)
=> 10 = 2(3x + x)
=> 10/2 = 4x
5 = 4x
=> x = 5/4 = 1.25 feet
The width is 1.25 feet. The length is therefore:
1.25 * 3 = 3.75 feet
Answer: 32 pints
Explanation:
.16 x 25 = 4 gallons convert to pints
1 gallon is equal to 8 pints so 4 x 8 = 32 pints