Answer:
The slope or incline is -5
Step-by-step explanation:
rewrite to get the form
y = ...
x - 5y = -10
- 5y = -10 -x
divide left and right if the = sign by -5 gives:
(-5/-5)y = (-1/-5)x + (-10/-5)
y = 1/5x +2
So the incline is 1/5
a perpendicular line has an incline of -1 *5/1 = -5
The slope or incline is -5
Answer:
19;30
Step-by-step explanation:
Adding them together is the total
For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)
Answer:
The solutions are x = -1/2 and x = 1/2
Step-by-step explanation:
(2+4x)(2-4x)
We can use the zero product property to solve this
(2+4x)(2-4x)=0
The we set each term = 0
2+4x =0 2-4x =0
Subtract 2 from each side
2-2+4x = 0-2 2-2-4x = 0-2
4x = -2 -4x = -2
The divide the left equation by 4 and the right equation by -4
4x/4 = -2/4 -4x/-4 = -2/-4
x = -1/2 x = 1/2
The solutions are x = -1/2 and x = 1/2
