The quadratic function A in standard form to represent the combined area A of the picture and the frame is 4w²+32w+55.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Nicky wants to surround a painting 5 inches by 11 inches with a frame that is w inches wide.
Then, the width of the painting
w = 5 + w + w
=2w+5 (w inches wider on both sides)
and, the length of the painting
l = 11 + w + w = 2w+11
So, the area is
Area = length x width
= (2w+11)(2w+5)
=4w²+22w+10w+55
= 4w²+32w+55
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Answer:
Since the frame is uniform around the picture, you need to add its width, W, to the sides of the picture. We will manipulate the formula for area, A = L x W. To ease confusion with the chosen variable, I will replace the W with an H for height to be A = L x H.
L = W + 11 + W
H = W + 5 + W
You can see this by drawing a picture with a frame around it. Looking from the top to the bottom, you will have it's width plus the picture plus the width of the frame again. Same thing for the height of the picture. Looking from the far left of the frame and across, you have the width of the frame plus the picture plus the width of the frame again. Now plug these into the area formula and combine like terms.
A = L x H
A = (W + 11 + W) x (W + 5 +W)
A = (2W + 11) x (2W + 5)
Now take the product of the two parenthesis.
I learned to use the FOIL method: multiply First, Outside, Inside, Last.
A = (2W x 2W) + (2W x 5) + (11 x 2W) + (11 x 5)
A = 4W2 + 10W + 22W + 55
A = 4W2 + 32W + 55
Step-by-step explanation:
3 hours and 15 minutes
3 hours and 45 minutes
4 hours, and 15 minutes
The elapsed time between 4:25 and 7:40 is 3 hours and 15 minutes.
Given that two times 4:25 and 7:40, we need to calculate the time elapsed between these two.
To calculate the elapsed time between 4:25 and 7:40, you need to subtract the starting time from the ending time.
First, let's calculate the difference in hours. From 4:25 to 7:40, we can see that the hours have changed from 4 to 7, which means 3 hours have passed.
Next, let's calculate the difference in minutes. From 4:25 to 7:40, the minutes have changed from 25 to 40.
This means that an additional 15 minutes have passed.
Therefore, the elapsed time between 4:25 and 7:40 is 3 hours and 15 minutes.
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