Answer:
y=1/4x+3
Step-by-step explanation:
Slope intercept form is written as (y=mx+b)
<u>To define those variables:</u>
- m is the slope
- b is the y-intercept
We have been given both the slope, and the y intercept, therefore just plug in the numbers into the form:
y=1/4x+3
Answer:
Step-by-step explanation:
4x-8<5x+4
4x<5x+12
-x<12
flip sign
x > -12
Answer: (5,5)
Step by step explanation:
We have the two equations
-7x + y = -30 and y = 2x - 5
one of the equations "define" y therefore we can plug the value of y into the other equation and solve for x
-7x + y = -30
plug in y = 2x - 5
-7x + 2x - 5 = -30
combine like terms
-5x - 5 = -30
add 5 to both sides
-5x = -25
divide both sides by -5
-5x/-5 = x and -25/-5 = 5
we're left with x = 5
we now plug in the value of x into one of the equations and solve for y
2x - 5 = y
x = 5
2(5) - 5 = y
multiply 2 and 5
10 - 5 = y
subtract
y = 5
the solution is (5,5)
Answer:
If your trying to solve for a, I believe this is the answer: a = 4b / (2 - c)
Step-by-step explanation:
2a - b = ac + 3b
First you want to group by like terms, so for "b" you are going to add "b" to both sides so that it cancels out on the left side and you now have all of your "b's" on the right.
2a = ac + 4b
next, you want to get the a's on the left side so you are going to subtract "ac"
2a - ac = 4b
Now, you need to factor the "a" out, and since its the greatest common factor among the "2a - ac" you are left with "a(2 - c)"
a(2 - c) = 4b
Finally divide both sides by "(2 - c)"
a = 4b / (2 - c)
and that's your answer
Answer:
9 units
Step-by-step explanation:
Reflections do not change the size of a shape, only dilations do. The side length will stay 9 units.