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zmey [24]
3 years ago
15

Slope of -5 2). (3,9)

Mathematics
1 answer:
podryga [215]3 years ago
3 0

Answer:

The slope of the given two points is m=\frac{7}{8}

Step-by-step explanation:

Given two points are (-5,2) and (3,9)

To find the slope with these two points

Let (x_{1},y_{1}) and (x_{2},y_{2}) be the given points

By using Slope Formula:

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

m=\frac{9-2}{3-(-5)}

m=\frac{9-2}{3+5} ( subtracting and adding the corresponding terms)

m=\frac{7}{8}

Therefore slope is m=\frac{7}{8}

The slope of the given two points is m=\frac{7}{8}

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Question 1123428: A bucket is in the shape of a truncated cone.The height of the bucket is 45 cm,and the diameters of the top and the bottom surfaces are 56 cm and 14 cm respectively.Find the the quantity (in litres) of the water the bucket can hold.

Answer by Boreal(9049) About Me  (Show Source):

You can put this solution on YOUR website!

V=(1/3)(r1^2+r1r2+r2^2)h*pi

=(1/3)*45*(28^2+196+49)*pi

=15(1029)*pi


A piece of paper is in the shape of a sector of a circle whose radius is 12 cm and the central angle of the sector is 120 degree.

It is rolled to form a cone of the biggest possible capacity.

Find the capacity of cone.

:

Find the total area of the sector

A = 120%2F360*pi%2A12%5E2

A = 150.8 sq/cm, this is surface area of the cone

:

Surface area (SA) of a cone without the end formula

The slant length (s) = the radius of the paper; 12 cm

pi%2Ar%2As+=+SA

pi%2Ar%2A12+=+150.8 , find r, the radius of the cone

r = 150.8%2F%2812%2Api%29

r = 4 cm is the radius

find the height of the cone

h = sqrt%28s%5E2-r%5E2%29

h = sqrt%2812%5E2-4%5E2%29

h = 11.3 cm is the height of the cone

Find the capacity (volume)

V+=+1%2F3*+pi%2Ar%5E2%2Ah

V = 1%2F3*pi%2A4%5E2%2A11.3

V = 189.33 cu/cm


6 0
3 years ago
What is the solution for this system of equations y = x - 4 Y = -x + 6
lana66690 [7]

Our system of equations is:

y = x - 4

y = -x + 6


We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:


y = -x + 6

x - 4 = -x + 6


To simplify this equation, we first are going to add x to both sides of the equation.


2x - 4 = 6


Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.


2x = 10


Finally, we must divide both sides by 2, to get the variable x completely alone.


x = 5


To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.


y = x - 4

y = 5 - 4

y = 1


Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).


Hope this helps!

3 0
3 years ago
9=ln(x+7) | Solve for x
frez [133]
Remember that ln=log_{e}
and

log_{a}x=y means a^y=x
convert
ln(x+7)=9 means
e^(9)=x+7
minus 7 from both sides
e^9-7=x
use calculator to evaluate
8096.08=x aprox
8 0
3 years ago
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