A line is drawn through the points (-2, 6) and (-4, -2). What is the y-coordinate of the point where this line intersects the y-axis? Pls explain!

Answers

Answer 1

Answer: The y intercept is 14.

We can get this by solving for the line using the points given. First we need to find the slope.

m(slope) = y1 - y2/x1 - x2
m = 6 - - 2/-2 - -4
m = 8/2
m = 4

Then we can find the y-intercept using slope intercept form with either given point and our newly found slope.

y=mx + b
6 = 4(-2) + b
6 = -8 + b
14 = b

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Solve the inequality. 12x<-144

What is the volume of the right rectangular prism

Answers

Answer:

432

Step-by-step explanation:

V=length×width×height

= 8×6=48

=48×9=432

Answer:

$432{mm}^(3)$

Step-by-step explanation:

$9mm * 6mm * 8mm = 432 {mm}^(3)$

A dolphin ate 2604 pounds of fish during the 31 days in march. What is the average amount of fish the dolphin ate per day.

Answers

To find the average of something you add up all of the data points (in this case it would be how many pounds offish were eaten per day but this is already done for us) then you would divide by the number of points you have (the number of days which is 31). So all you have to do is 2604/31. This equals 84 pounds of fish per day on average.

the dolphin ate

2604 lbs of fish in 31 days

this can also be written as

2604/31

we want the denominator to be 1, since the denominator represents days

to do this, we can divide 31 by 31. but we must do the same to the numerator

2604 ÷ 31 = 84

so our new fraction is

84/1

so per day, the dolphin ate 84 pounds of fish

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = 6 sin x, y = 6 cos x, 0 ≤ x ≤ π/4; about y = −1

Answers

hmm well, here an example y=3 ,

y=3 , rather than the x− x− axis.) Your integrand looks fine and reduces to

(9−18sinx+9sin2x) − (9−18cosx+9cos2x) (9−18sin⁡x+9sin2⁡x) − (9−18cos⁡x+9cos2⁡x)

= 18 (cosx−sinx) + 9 (sin2x−cos2x) = 18 (cosx−sinx) − 9 cos2x .= 18 (cos⁡x−sin⁡x) + 9 (sin2⁡x−cos2⁡x) = 18 (cos⁡x−sin⁡x) − 9 cos⁡2x .

The evaluation of the volume is then

π [ 18 (sinx+cosx) − 92sin2x ]π/40π [ 18 (sin⁡x+cos⁡x) − 92sin⁡2x ]0π/4

= π ( [ 18 ( 2–√2+2–√2) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] ) = π ( [ 18 ( 22+22) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] )

= π ( 182–√ − 92 − 18 ) = π ( 182–√ − 452 ) or 9π2 ( 42–√ − 5 ) ,

A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13 hours round your answer to the nearest whole number