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gizmo_the_mogwai [7]
1 year ago
15

Find the area of the region enclosed by the curves yequals

Mathematics
1 answer:
Step2247 [10]1 year ago
6 0

The area enclosed by the given 2 curves is; 8/3 or 2.67

<h3>How to Solve Integration with Limits?</h3>

We want to find the area enclosed by the curves;

y = x² - 2x

y = -x² + 2x

The point of intersection of the parabola and the line is given by;

x² - 2x = -x² + 2x

2x² - 4x = 0

Solving this gives;

x = 0, 2

Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;

A = ∫₀² (-x² + 2x - x² + 2x)

A = ∫₀² (-2x² + 4x)

Using online integration calculator here gives;

A = 2.67

Read more about Integration at; brainly.com/question/14388434

#SPJ1

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What is the equation of the line that is perpendicular to the given line and passes through the point (5,3)
Pani-rosa [81]

perpendicular lines have a slope that is a negative reciprocal


A) 4x-5y=5

subtract 4x

solve for y

-5y = -4x+5

divide by -5

y = 4/5 x+5   slope is 4/5  perpendicular slope is -5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = -5/4 (x-5)

B)  5x+4y = 37

subtract 5x

4y =-5x +37

divide by 4

y =-5/4 x +37/4  slope is -5/4 perpendicular slope is 4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = 4/5 (x-5)

C)4x+5y=5

subtract 4x

5y = -4x +5

divide by 5

y = -4/5 x +1

y =-4/5 x +1  slope is -4/5 perpendicular slope is 5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = 5/4 (x-5)

D)5x-4y=8

subtract 5x

-4y = -5x+8

divide by -4

y = 5/4 x-2

y =5/4 x +-2 slope is 5/4 perpendicular slope is -4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = -4/5 (x-5)



6 0
3 years ago
Write the equation of the line that passes through (-2,0) and (0, -7)
MakcuM [25]

Answer:

Step-by-step explanation:

1.

(-2,0) (0,-7)                y2-y1

                            -----------------

                                 x2-x1

-7-0= -7

0- (-2)= 2             ------>>> -7/2 =m or slope

2.

y= -7/2x+b          to find b u plug in one pair of coordinates for example (-2,0)

                          and use inverse properties to find b

0 = -7/2(-2) + b

       14/2 = 7

0= 7+b

-7 -7

-----------

-7=b

3.

y=-7/2x-7    

4 0
3 years ago
Read 2 more answers
Can someone please please help me
Alekssandra [29.7K]

Answer:

The answer is None

Step-by-step explanation:

Multiply 6 2 and 1 and also multiply 12 4 and 2 separately now divide 96 with 12 and you get 8 which is none of the answer choices

6 0
3 years ago
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Given that PQRS is a square, find x and y.
Dovator [93]
Every angle of a square equals 90 degrees.

2x - 4 = 90              3y + 6 = 90
2x = 90 + 4              3y = 90 - 6
2x = 94                    3y = 84
x = 94/2                     y = 84/3
x = 47                        y = 28

so x = 47 and y = 28
4 0
3 years ago
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Which quantity is unknown
OleMash [197]

Answer:

The price of each book without sales tax

Step-by-step explanation:

8 0
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