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3 years ago

11

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-ax

is, x = 0, and x = π

1 answer:

weeeeeb [17]3 years ago

8 0

Answer:

Option 1

Step-by-step explanation:

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Use substitution to solve this system of equations. 4x-5y=19 y=8x-11

Soloha48 [4]

$4x-5y=19 \\
y=8x-11 \\ \\
\hbox{substitute 8x-11 for y in the 1st equation and solve for x:} \\
4x-5(8x-11)=19 \\
4x-40x+55=19 \\
4x-40x=19-55 \\
-36x=-36 \\
x=\frac{-36}{-36} \\
x=1 \\ \\
\hbox{substitute 1 for x in one of the equations and solve for y:} \\
y=8 \times 1-11 \\
y=8-11 \\
y=-3 \\ \\
(x,y)=(1,-3)$

3 0

3 years ago

Prove or disprove that the point (3, 2) lies on the circle centered at (-1. -1) and containing the point (4,-1)

melisa1 [442]

Need a picture of the plot

7 0

3 years ago

What is the measurement of each angle

user100 [1]

Answer:

$7(14)-11=87\\\\5(14)-2=68\\\\2(14)-3=25$

Step-by-step explanation:

First we need to set up an equation in order to find the value of x. We know that the sum of these angles are 180°

$7x-11+5x-2+2x-3=180\\\\14x-16=180\\\\14x=196\\\\x=14$

Now we can plug in our value for x into each of the angle's equations

$7(14)-11=87\\\\5(14)-2=68\\\\2(14)-3=25$

8 0

4 years ago

Traveling with the current, a canoe went 30 miles in 3 hours. Traveling against the current, the canoe went 12 miles in 3 hours.

lora16 [44]

Answer

Rate of canoe in calm water is 7 mph

Step-by-step explanation:

Let y be the rate of the canoe in calm water

Let z represent the rate of current

Traveling with the current, the canoe went 30miles in 3 hours

The total speed of the current and canoe will be (y + z) mph

Recall that,

speed = distance / time

Distance = speed x time

Distance = 30 miles

time = 3 hours

30 = 3( y + z)

divide through by 3

30/3 = 3/3 (y + z)

10 = y + z -------------------- equation 1

Against the current, the canoe went 12 miles in 3 hours

Let the speed = (y - z) mph

Distance = speed x time

12 = 3(y - z)

Divide through by = 3

4 = y - z ------------- equation 2

The two-equation can be solved simultaneously

y + z = 10 --------------- equation 1

y - z = 4 -------------- equation 2

Eliminate z by adding the two equations equation together

(y + y) + (z - z) = 10 + 4

2y + 0 = 14

2y = 14

y = 14/2

y = 7 mph

To find z, put y in equation 1

y + z = 10

z = 10 - y

z = 10 - 7

z = 3 mph

Hence, the rate of canoe in calm water is 7mph

6 0

1 year ago

Which of the following uses the Distributive Property to determine the product 12(185) Question 6 options: a) 12(100) + 12(13) b

MariettaO [177]

Answer:

d) 12(100) + 12(80) + 12(5)

Step-by-step explanation:

According to the distributive property, if a,b, c, and d are real numbers, then

a(b+c+d)=ab+ac+ad

We want to find the product 12(185).

We can expand 185 as 100+80+5

Our product then becomes;

$12(185)=12(100+80+5)$

We expand using the distributive property to get;

$12(185)=12(100)+12(80)+12(5)$

The correct choice is D

8 0

4 years ago

Read 2 more answers