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2 years ago

12

HELP!!! Find the area of the shape shown

1 answer:

Blizzard [7]2 years ago

3 0

Answer:

12 square units

Step-by-step explanation:

We can break this shape into three parts, the left triangle, the middle square, and the right triangle. The left triangle has area of 2 square units, because 1/2(2x2) is 2. The middle square has 4 square units because 2x2 is 4. The right triangle has 6 square units because 1/2(6x2) is 6.

Adding the area of all the parts we get 12 square units.

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<img src="https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_3%7Bx%5E%7B2%7D-x%20%7D%20%5C%2C%20dx" id="TexFormula1" title="\int\limits

melisa1 [442]

Answer:

$\frac{53}{6}$

Step-by-step explanation:

$\int\limits^4_3 {x^2-x} \, dx$

= [ $\frac{x^3}{3}$ - $\frac{x^2}{2}$ ] ← evaluate for upper limit - lower limit

= ( $\frac{64}{3}$ - $\frac{16}{2}$ ) - ( $\frac{27}{3}$ - $\frac{9}{2}$ )

= $\frac{64}{3}$ - 8 - 9 + $\frac{9}{2}$

= $\frac{155}{6}$ - 17

= $\frac{53}{6}$

5 0

2 years ago

A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned i

olganol [36]

Answer:

<u>Point C at (-18/7)</u>

Step-by-step explanation:

Point A is at -6 and point B is at 2.

So, the distance between A and B = 2 - (-6) = 8

point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.

Let the distance AC = x

∴ BC = 8 - x

AC : CB = 3 : 4

∴ $\frac{AC}{CB} =\frac{3}{4} = \frac{x}{8-x}$

Using cross multiplication

3 (8-x) = 4x

24 - 3x = 4x

24 = 7x

x = 24/7

So, Point C = -6 + 24/7 = -18/7

Point C at (-18/7)

7 0

2 years ago

Read 2 more answers

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seraphim [82]

B determine the cost of 11 bags price

Answer: 24.5 or 25 1/2

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2 years ago

The graph of f(x)= x^2

Jet001 [13]

Answer:

the new equation is f(x)=x^2-4

vertex- (0,-4)

zeros- (-2,2)

y-intercept- (-4)

and it has a minimum

5 0

2 years ago

Please answer quickly I m doing a test. This is not last question.

julsineya [31]

Answer:

it should be the 3rd one

Step-by-step explanation:

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2 years ago

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