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ra1l [238]
2 years ago
5

What is an efficient way to compute 47^2–37^2 without using raw calculations?

Mathematics
1 answer:
e-lub [12.9K]2 years ago
6 0

Answer:

(47+37)(47-37)

Step-by-step explanation:

47^2-37^2 is a difference of two squares. a^2-b^2 = (a+b)(a-b) so this expression can be factored to (47+37)(47-37) = (84)(10) = 840

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Which one should I choose
shutvik [7]

Answer:

-32

Step-by-step explanation:

((−4)(4))(2)

=−32

8 0
3 years ago
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Find an equation for the line that passes through the points (5.-5) and (-4,-2)
ANEK [815]

Answer:

\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -5) and (-4, -2).

Substiute:

m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

-5=-\dfrac{1}{3}(5)+b

-5=-\dfrac{5}{3}+b               <em>add 5/3 to both sides</em>

-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}

Finally we have the equation of a line in the slope-intercept form:

y=-\dfrac{1}{3}x-\dfrac{10}{3}

Convert to the standard form <em>(Ax + By = C)</em>:

y=-\dfrac{1}{3}x-\dfrac{10}{3}          <em>multiply both sides by 3</em>

3y=-x-10              <em>add x to both sides</em>

x+3y=-10

4 0
3 years ago
A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. what is the area of the room
beks73 [17]

Answer:

The area is 775/6 square ft²

Step-by-step explanation:

Multiply 12 1/2 by 10 1/3 to find the area

6 0
3 years ago
Umm I need a lot pf help here im lost
OleMash [197]

Answer:

51.39 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of base × height

Here area of base = 5.71 and height = 9, thus

V = 5.71 × 9 = 51.39 units³

7 0
3 years ago
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Five years ago age of father was thrice the age of son. if son is 30 years old now what is current age of father...????
professor190 [17]

Answer:

The father is 75 years old

Step-by-step explanation:

30-5=25 years (sons age)

25×3=75 years old (father)

3 0
3 years ago
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