Answer:
(16a + 6b) (2x - 3y)
Step-by-step explanation:
32ax + 12bx - 48ay - 18by
(32ax - 48ay) + (12bx - 18by)
16a(2x - 3y) + 6b(2x - 3y) Factor out in both seperate expressions
(16a + 6b) (2x - 3y) Double factoring
Answer:
7
Step-by-step explanation:
first, we would set up an equation. let 3x-4 represent "four less than a number tripled". "a number" would be represented by x. let x+10 represent "the same number increased by 10".
set 3x-4 and x+10 equal to each other:
3x-4=x+10
next, we would solve this equation for x. first we would get the x together on one side of the equation. we would do this by subtracting x from both sides to remove it from the right side of the equation:
2x-4=10
then, we would get the 2x by itself. we would do this by adding 4 to both sides:
2x=14
finally, we would divide each side of the equation by 2 to find x:
x=7.
The number is 7.
First, we are going to find the radius of the yaw mark. To do that we are going to use the formula:

where

is the length of the chord

is the middle ordinate
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so

and

. Lets replace those values in our formula:




Next, to find the minimum speed, we are going to use the formula:

where

is <span>drag factor
</span>

is the radius
We know form our problem that the drag factor is 0.2, so

. We also know from our previous calculation that the radius is

, so

. Lets replace those values in our formula:



mph
We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was
13.34 miles per hour.
2) Add 0.1 to both sides. v/2.2=7.5
Then multiply by 2.2 on both sides.
v=16.5
4) Subtract 1.9 from both sides. -1.3g=-13
Divide both sides by -1.3
g=10
6) Add 1.4 to both sides. -12.9=-3d
Divide -3 on both sides.
d=4.3
Answer:
y = -7 and x = -36
Step-by-step explanation:
x - 4y = -8
5y - 1 = x
→ Substitute 5y - 1 into x - 4y = -8
5y - 1 - 4y = -8
→ Simplify
y - 1 = -8
→ Add 1 to both sides
y = -7
→ Substitute y = -7 into 5y - 1
( 5 × -7 ) - 1 = -36