Answer:
B.) y - 6 = -8/5(x + 2)
Step-by-step explanation:
Remember in order to find the slope intercept form on 2 points, you need these equations: and
To find the slope, you will need to use the first equation. In this case the equation will look like this:
Then use the second equation, plug in the numbers, and you will get B as your answer
Answer:
Second choice:
Fifth choice:
Step-by-step explanation:
Let's look at choice 1.
I'm going to subtract 1 on both sides for the first equation giving me . I will replace the in the second equation with this substitution from equation 1.
Expand using the distributive property and the identity :
So this not the desired result.
Let's look at choice 2.
Solve the first equation for by dividing both sides by 2:
.
Let's plug this into equation 2:
This is the desired result.
Choice 3:
Solve the first equation for by adding 3 on both sides:
.
Plug into second equation:
Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:
Not the desired result.
Choice 4:
I'm going to solve the bottom equation for since I don't want to deal with square roots.
Add 3 on both sides:
Divide both sides by 2:
Plug into equation 1:
This is not the desired result because the variable will be squared now instead of the variable.
Choice 5:
Solve the first equation for by subtracting 1 on both sides:
.
Plug into equation 2:
Distribute and use the binomial square identity used earlier:
.
This is the desired result.
The age of the van owned = 12 years
The age of the truck owned = 29 years
Step-by-step explanation:
Here, the given question is INCOMPLETE.
Laura takes very good care of her vehicles. She owns a blue van and a red truck. Although she bought them both new, she has owned the truck for 17 years longer than she has owned the van. If the sum of the ages of the vehicles is 41 years, how old is the van and how old is the truck?
Let us assume the number of years Laura has owned the van = S years
So, according to the question:
The number of years she has owned truck = S + 17 years
Now, Sum of the age of ( Truck + Van) = 41 years
⇒ (S + 17 years) + (S years) = 41 years
or, 2 S + 17 = 41
or, 2 S = 4 1 -1 7 = 24
or, S = 24/2 = 12 years
or, S = 12 years
Hence the age of the van owned = 12 years
The age of the truck owned = S + 17 = 12 + 17 = 29 years
Answer:
x(x+3).
Step-by-step explanation:
The C, D. of x and x+3 is x(x+3).
Answer: r<-2
Step-by-step explanation:
-3(r-5)+7>28
-3(r-5)+7-7>28-7
-3(r-5)>21
3(r-5)/3 < -21/3
r-5<-7
r-5+5<-7+5
r<-2