Nicky wants to surround a painting 5 inches by 11 inches with a frame that is w inches wide. Write a quadratic function A in standard form to represent the combined area A of the picture and the frame.A(w) = w2 + w +

Answers

Answer 1

Answer:

The quadratic function A in standard form to represent the combined area A of the picture and the frame is 4w²+32w+55.

What is Equation?

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 2

Answer:

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:

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Answers

Answer:

The slope would be 5/3

Step-by-step explanation:

Let me know if u have to simplify it

Triangle XYZ has been dilated to form triangle LMN. What is the least amount of information needed to prove the two triangles are similar?a. Two pairs of corresponding angles and one pair of corresponding sides
b. Two pairs of corresponding sides and one pair of corresponding angles
c. Two pairs of corresponding angles
d. Two pairs of corresponding sides

Answers

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Answer:

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What is the product of 2/8 and 3/5?
a. 7/11
b. 5/12
c. 3/20
d. 5/13

Answers

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What is 191x21=?????

Answers

191 times 21
191 times 21=191 times (20+1) correct?
therefor
use distributive property
remember that it is a(b+c)=ab+ac
therefor
191 times 21=191(20+1)=191 times 20+191 times 1=191 times 2 times 10+191=382 times 10+191=3820+191=4011
answer is 4011

191
×21
------
191
+382
---------
4011

answer= 4011
hope it helps

2| x - 3 | > 8, 2| x - 3 | < -8 Sovle the inequality involving absolute value? I don't understand how to get the right answer

Answers

divide both sides by 2

|x-3|>4 and |x-3|<-4
ok so |x-3|<-4 is false, since |x|≥0 always

so we have
|x-3|>4
now assume
x-3>4 and
x-3<-4

x-3>
add 3
x>7

x-3<-4
add 3
x<-1

so
-1>x and x>7

so basically it is all numbers from -∞ to +∞ except from -1 to 7
in interval notaion
(-∞,-1)U(7,∞)

S={x|x<-1 or x>7}

X >7 and X > -1 that would be the answer

Solve the equation r+11+8r=29

Answers

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Ok so lets evaluate this equation. First,we have to combine like terms which in this case us r only. So lets do it r+8r is simply 9r+11=29 so now since we want to isolate or in other terms get r the variable by itself we would have to subtract 11 form both sides. 29 -11 is simply 18 now we have 9r=18 divide 9 on both sides and r is equal to 2

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