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saw5 [17]
3 years ago
8

John is unhappy with his 3-inch-wide frame, so he decides to put a frame with a different width around his canvas. The total are

a of the canvas and the new frame is given by the polynomial , where h represents the height of the canvas. Determine the width of the new frame. Show all your work. Explain why you did each step. (2 points)
any one with the rest of the answers to the sample work/test will get brainliest
Mathematics
2 answers:
tatyana61 [14]3 years ago
7 0
U can use 19 or 20 im not sure

ankoles [38]3 years ago
3 0
1. A= width*height=h ^2 = (3)^2 = 9 
2. A=width*height 
height is still gonna be h 
Area is given in the problem 
h^2+8h+12=(width)h 
So doing some long division.. 
h√h^2+8h+12 = h+8+12/h 
-(h^2) 
8h+12 
-(8h) 
12 

3. A=width*height=h(h+4)=h^2+4h
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The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m​
kipiarov [429]

Answer:

900\times 3^m = 100

Step-by-step explanation:

The number of visitors is modeled by the expression 900\times 3^m

Where m is the number of months after the number of visitors was measured.

We need to evaluate the above expression for m = -2.

So,

900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100

At m = -2, the value of the above expression is equal to 100.

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3 years ago
How to prove the converse to the same side interior angles theorem
Gnom [1K]

Answer:If two lines are cut by a transversal and the consecutive interior angles are supplementary ...

Step-by-step explanation:

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4 years ago
Micheal was asked to give examples of the identity property of addition and identity multiplication. Below are his answers.
xxMikexx [17]

Answer:

identity property of addition-

a+0=a

identity property of multiplication-

a*1=a

Step-by-step explanation:

i cant give u an exact answer as u didnt give Micheals answers so i just gave some examples about what addition and multiplication identity property should look like. Identity property's concept is to keep the same identity. Basically, "a" shouldnt change. In addition, to keep a the same all u hv to do is add 0 as anything plus 0 is the same. for multiplication, just multiply by 1. Hope this helps!!

5 0
3 years ago
A/20 + 14/15 = 9/15 <br><br> Can i get some help?
KiRa [710]
Method 1:

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |multiply\ both\ sides\ by\ 60\\\\60\cdot\dfrac{a}{20}+60\cdot\dfrac{14}{15}=60\cdot\dfrac{9}{15}\\\\3a+4\cdot14=4\cdot9\\\\3a+56=36\ \ \ \ |subtract\ 56\ from\ both\ sides\\\\3a=-20\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=-\frac{20}{3}\to a=-6\frac{2}{3}}

Method 2.

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |subtract\ \dfrac{14}{15}\ form\ both\ sides\\\\\dfrac{a}{20}=-\dfrac{5}{15}\\\\\dfrac{a}{20}=-\dfrac{1}{3}\ \ \ \ |multiply\ both\ sides\ by\ 20\\\\\boxed{a=-\dfrac{20}{3}\to a=-6\frac{2}{3}}
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4 years ago
At what rate per cent per annum will $400 yield an interest of $78 in 1 1/2 years?
Y_Kistochka [10]

Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it!   23

Step-by-step explanation:

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