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JulsSmile [24]
3 years ago
9

Write an equation in point-slope form and in slope-intercept form for the line that passes through the given point

Mathematics
1 answer:
nexus9112 [7]3 years ago
4 0

Answer:

point-slope:x-y+3

slope-intercept: y=x-3

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Find the area under the curve y = 13/x3 from x = 1 to x = t. Evaluate the area under the curve for t = 10, t = 100, and t = 1000
zvonat [6]

Answer:

t = 10

A = 32496.75

t = 100

A = 324999996.8

t = 1000

A=3.25\times 10^{12}

Step-by-step explanation:

The area under the curve is calculated by using the following definite integral:

A = \int\limits^t_ {1} \,{13\cdot x^{3}}  dx

A = 13 \int\limits^t_1 {x^{3}} \, dx

A = \frac{13}{4}\cdot (t^{4}-1)

Evaluated areas are presented below:

t = 10

A = 32496.75

t = 100

A = 324999996.8

t = 1000

A=3.25\times 10^{12}

8 0
3 years ago
Select the correct answer.
Slav-nsk [51]

Answer:b

x=3-y/7

Multiple 7

7x=3-y

Subtract 3

7x-3=-y

Times both sides by negative 1

-7x+3

3 0
3 years ago
Find the slope of the line containing the pair of points.<br> (2, -9) and (12,6)
dusya [7]

Answer:

slope = \frac{3}{2}

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, - 9 ) and (x₂, y₂ ) = (12, 6 )

m = \frac{6-(-9)}{12-2} = \frac{6+9}{10} = \frac{15}{10} = \frac{3}{2}

5 0
1 year ago
Please answer this question now
kotegsom [21]

Answer:

The midpoint is (8,9.5)

Step-by-step explanation:

The midpoint is found by averaging the x coordinates and the y coordinates

x = (x1+x2)/2     y = (y1+y2)/2

x = (13+3)/2 = 16/2 = 8

y = (5+14)/2 = 19/2 = 9.5

The midpoint is (8,9.5)

3 0
3 years ago
Which two numbers would correctly fill in the blank -0.7&lt;____&lt; 1/4
irina1246 [14]

Answer:

B. -0.5

D. -1/19

Step-by-step explanation:

-.7 < ______ < 1/4

Lets change the fraction to a decimal

1/4 *25/25 = 25/100 = .25

-.7 < ______ < .25

We need a number between -.7 and + .25

-.5 is between these two numbers so that is 1 solution

-1/19 is close to -1/20

-1/20 *5/5 = -5/100 = -.05

This is between the two numbers

-1/19 = -.052631579  

I approximated because I could tell it was not close to either end point.


4 0
3 years ago
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