Answer:
See below
Step-by-step explanation:
I believe that you only had to do letters F, H, and J. In that case, let's go over each one!
F: For isolating, we need to get rid of the 1/2 first. Let's multiply each side by 2:
After this, we just subtract from each side to get . Dark Blue is correct! Let's now plug in those numbers below:
G: Let's isolate the vw^2 on one side by subtracting y from each side:
Let's now divide each side by v, then put each side under a square root to get our final answer:
Orange is correct! Again, let's solve the problem underneath:
w=
H: This one has some stuff that we haven't worked with quite yet (like terms), but our approach is the same: isolate c on one side of the equation.
Purple is correct! Let's solve the problem:
The interval notation for width of rectangle will be: (1,33)
Step-by-step explanation:
Perimeter of rectangle < 172 feet
Length of rectangle = 53 feet
Width of rectangle = ? (range of values)
The formula used to find perimeter of rectangle is:
where l is length and w is width
In our case we will use: because perimeter should be less than 172
Putting values:
So, width should be less than 33
Since width should be positive and greater than 0
So, the interval notation for width of rectangle will be: (1,33)
Keywords: Perimeter of rectangle
Learn more about Perimeter of rectangle at:
#learnwithBrainly
Answer:
We get value of y: y = 2
Step-by-step explanation:
The points (3,5) and (2, y) are on a line with a slope of 3. Find y.
We can find y using formula of finding slope of a line.
The formula is:
We have and Slope = 3
Putting values and finding y
So, we get value of y: y = 2
width= 7m
Step-by-step explanation:
Area= L×W
L= (x+8)m
W=8m
105m²= (x+8)m × (x)m
105m²= x² + 8x
-x² - 8x + 105= 0
(x-7) (x+15) = 0
x= 7 x= -15
x=width = 7m