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lbvjy [14]
2 years ago
15

Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16 - 9) = -1(4 + 3)(4 -

3) (16 - 9) = (4 + 3)(4 - 3) (25 - 4) = (5 + 2)(5 - 2) (18 - 11) = (9 + 6)(9 - 5) (64 - 1) = (8 + 1)(8 - 1)
Mathematics
1 answer:
Vika [28.1K]2 years ago
8 0

Answer:

(16-9)

Step-by-step explanation:

that is the answer because 16-9 is 7

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Box A is 567 inches high, 678 inches wide, and 789 inches long. It has a maximum capacity of 1,200 marbles, Box B has three time
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Answer:

1701 high

2712 wide

789 long

= 4413

Step-by-step explanation:

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1 year ago
You have two circles, one with radius r and the other with radius R. You wish for the difference in the areas of these two circl
gtnhenbr [62]

Answer:

maximum difference of radii =(r-R)=\frac{1}{2\pi ^{2}}

Step-by-step explanation:

We know that area of circle is given by

A=\pi \times (radius)^{2}

For circle with radius 'r' we have

A_{1}=\pi \times (r)^{2}

For circle with radius 'R' we have

A_{2}=\pi \times (R)^{2}

Now according to given condition we have

A_{1}-A_{2}\leq \frac{5}{\pi }

\Rightarrow \pi r^{2}-\pi R^{2}\leq \frac{5}{\pi }\\\\\Rightarrow (r^{2}-R^{2})\leq \frac{5}{\pi ^{2}}\\\\(r+R)(r-R)\leq \frac{5}{\pi ^{2}}\\\\\because (a^{2}-b^{2})=(a+b)(a-b)\\\\(r+R)=10(Given)\\\\\Rightarrow(r-R)\leq \frac{5}{10\pi ^{2}}\\\\\therefore (r-R)\leq\frac{1}{2\pi ^{2}}

Thus maximum difference of radii =(r-R)=\frac{1}{2\pi ^{2}}

6 0
2 years ago
Write a paragraph that has an inverted triangle shape. The topic sentence should be, “Trees are helpful.” Include at least three
yaroslaw [1]
  Why trees are helpful........................................
                         ..................................................................
                            ............................................................
                                .....................................................
                                   ..............................................
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Very easy just state facts about trees in a format like this. Google why trees are helpful and some facts should pop up. A good paragraph should have at least five (5) good strong sentences. 
 
4 0
1 year ago
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Susan and jim each own a lawn care business. The amount susan charges for lawn care is shown in the table. The amount him charge
irakobra [83]
D)$40 because you divide 2 and 48 then multiply 10 then you do 20 x 10 then subtract the two answers
7 0
1 year ago
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the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p
Luba_88 [7]

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of m miles:

f(x) = 0.45m +5

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

f(x) = 0.45m +5 can also be written as:

y = 0.45m +5

It is nothing but slope intercept form, comparing with Y = M X+ C

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

0.45m +  5+5 = 0.45m+10

Now, multiply with 1.25

Resulting function becomes:

f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }

8 0
2 years ago
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