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natima [27]
2 years ago
13

Distance between (7,-1) and (),3)

Mathematics
1 answer:
Art [367]2 years ago
3 0

Answer:

65

Step-by-step explanation:

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(Constructed Response) Determine whether the binomial, 9x² - 49, is a difference of
vovikov84 [41]

Answer: It is a difference of two squares, and it factors to (3x-7)(3x+7)

=============================================================

Explanation:

We can write the 9x^2 as (3x)^2 since

(3x)^2 = (3x)*(3x) = (3*3)*(x*x) = 9x^2

The 49 can be written as 7^2 because 7^2 = 7*7 = 49.

This means 9x^2 - 49 is the same as (3x)^2 - 7^2. We have a difference of two squares.

The difference of squares factoring rule is

a^2 - b^2 = (a-b)(a+b)

which we have a = 3x and b = 7 in this case

So,

a^2 - b^2 = (a-b)(a+b)

(3x)^2 - 7^2 = (3x-7)(3x+7)

9x^2 - 49 = (3x-7)(3x+7)

Side note: This is the same as (3x+7)(3x-7). We can multiply two numbers in any order.

8 0
3 years ago
A line has slope and yintercept 5. which answer is the equation of the line
ioda

Answer: if the y-intercept is 5, it's c. -3/4x + 5. Since it's ax+b a = slope b = y intercept

Step-by-step explanation:

6 0
3 years ago
PLEASE PLEASE HELP!! I’m sturggling
mixer [17]

Answer:

The answer is D.  59.0

Step-by-step explanation:

6 x 10 = 60.

60 is close to 59.0

3 0
3 years ago
Read 2 more answers
Write four hundred seven trillion, six million, one hundred five thousand, twenty-eight in standard form.
Orlov [11]

Answer:

407,600,105,028

Step-by-step explanation:

5 0
3 years ago
Tobias's music store bought a piano at the wholesale price of $550. Tobias marked up the price 35%. What was the amount of marku
Mrrafil [7]

Answer:

A.  $58.50

B.  $80

C.  No. The markup was 33 1/3%

Step-by-step explanation:

You are expected to know the relevant relationship is ...

  cost + markup = selling price . . . . also called "store price" in this problem

___

A. The markup is 30% × $45 = $13.50, so the store price is ...

 $45 + 13.50 = $58.50

___

B. When the 30% markup is added to the 100% cost, the selling price is 130% of the cost, or 1.30 times the cost. Here you have ...

 $104 = 1.30 × cost

 $104/1.3 = cost = $80 . . . . . divide by the coefficient of cost

___

C. The markup is $100 -75 = $25, so the markup percentage based on cost is ...

 $25/$75 × 100% = 33 1/3%

This is not 30%.

Step-by-step explanation:

8 0
2 years ago
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