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Mama L [17]
2 years ago
15

What is the product of −212 and −312 ? Enter your answer as a mixed number, in simplified form, in the box.

Mathematics
1 answer:
Natalija [7]2 years ago
5 0

(-2 1/2)×(-3 1/2) = (2 1/2)×(3 1/2) . . . . deal with the signs up front. The product of two negatives is a positive.

... = 2×(3 1/2) + (1/2)×(3 1/2) . . . . . use the distributive property

... = 2×3 + 2×(1/2) + (1/2)×3 + (1/2)×(1/2) . . . . and again

... = 6 + 1 + 3/2 + 1/4

... = 7 + (1 1/2) + 1/4

... = 8 + 2/4 + 1/4

... = 8 3/4

_____

On your calculator, -2.5 × -3.5 = 8.75.

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3 years ago
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Liula [17]

the answer is going to be 6.0

Step-by-step explanation:

1.5 + 1.5 = 3

3 + 3 = 6

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3 years ago
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iren2701 [21]

Answer:

Here's what I get  

Step-by-step explanation:

a. Write an equation

(8x + 12y)² + (6x + 9y)²= (10x + 15y)²

b. Transform the equation

(i) Remove parentheses

64x² +192xy + 144y² + 36x² + 108xy + 81 y² = 100x² +300xy + 225y²

(ii) Combine like terms.

100 x² + 300xy + 225y² = 100x² +300xy + 225y²

The two sides are the same.

The equation is an identity.

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2 years ago
What is the value of x?<br><br><br> 9<br><br> 18<br><br> 93√<br><br> ​183√
marishachu [46]

Answer:

jfydyfugufhchghfufughgohidyxjvkvhfjcjzjxjcjcjfyfhfhfydfjcjcjcjfyxugkvuztdyicxy

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2 years ago
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Firdavs [7]

9514 1404 393

Answer:

  y = 1

Step-by-step explanation:

Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)/(a^c) = a^(b-c)

  (a^b)(a^c) = a^(b+c)

__

Your equation can be written as ...

  25^4\div5^{5y}=125^y\\\\(5^2)^4\div5^{5y}=(5^3)^y\\\\5^{8-5y}=5^{3y}\\\\8-5y=3y\qquad\text{equate exponents of the same base}

Now this can be solved as an ordinary linear equation.

  8 = 8y . . . . . . add 5y to both sides

  1 = y . . . . . . . divide by 8

The solution is y = 1.

4 0
2 years ago
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