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valkas [14]
3 years ago
7

Find an equation of the line containing the given pair of points (5,2) and (-3,5)

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0
(5,2)(-3,5)
slope = (5 - 2) / (-3 - 5) = -3/8

y = mx + b
slope(m) = -3/8
use either of ur points...(5,2)...x = 5 and y = 2
now we sub and find b, the y int
2 = -3/8(5) + b
2 = - 15/8 + b
2 + 15/8 = b
16/8 + 15/8 = b
31/8 = b

so ur equation is : y = -3/8x + 31/8....or 3x + 8y = 31
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PLEASEEEEE HELPPP!!! 
liubo4ka [24]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To find the answer of this we will have to this we will have to add each of the answers together...

To find Volume of a Cylinder: π(r^2)h

To find Volume of a Cone: π(r^2)(h/3)


Givens for a Cylinder: r= 2, h=3

Givens for both Cones: r=2, h=3


Cylinder:

V= π(r^2)h

V= π(2^2)3

V= π(4)3

V= 12π


Volume of both Cones added together:

V= (π(r^2)(h/3)) * 2

V= (π(2^2)(3/3)) * 2

V= (π(4)(1)) * 2

V= (π4) * 2

V= 8π


Volume for Whole Shape:

12π + 8π = 20π cm^3


So...

The answer is: C.) 20π cm^3

5 0
3 years ago
Read 2 more answers
Help please no links as an answer
Allisa [31]

Answer:

essentially the answer is 33

8 0
3 years ago
293,154,254,259,267,276,263,389,253,224,215<br><br> What is the median of the set of data
Komok [63]
Problem▶293,154,254,259,267,276,263,389,253,224,215. what is the median of the set of data


Remember ▶The median will always be; an average number that is located in the center of the problem

Answer: So, therefore the median of this set would have to be: 259

8 0
3 years ago
The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its
Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

b = 3 + 2h

Area = 22

Required

Find the length of the base

The area of a triangle is calculated as thus;

Area = \frac{1}{2} * b * h

Substitute 22 for Area and 3 + 2h for b

The formula becomes

22 = \frac{1}{2} * (3 + 2h) * h

Multiply both sides by 2

2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h

44 = (3 + 2h) * h

Open the bracket

44 = 3 * h + 2h * h

44 = 3h + 2h^2

Subtract 44 from both sides

44 - 44 = 3h + 2h^2 - 44

0 = 3h + 2h^2 - 44

Rearrange

0 = 2h^2 +3h - 44

2h^2 +3h - 44 = 0

At this point, we have a quadratic equation; which is solved as follows:

2h^2 +3h - 44 = 0

2h^2 + 11h - 8h - 44 = 0

h(2h + 11) - 4(2h + 11) = 0

(h - 4)(2h + 11) = 0

Split the above

(h - 4) = 0\ or\ (2h + 11) = 0

h - 4 = 0\ or\ 2h + 11 = 0

Solve the above linear equations separately

h - 4 = 0

Add 4 to both sides

h - 4 + 4 = 0 + 4

h = 0 + 4

h = 4 ---- <em>First value of h</em>

2h + 11 = 0

Subtract 11 from both sides

2h + 11 - 11 = 0 - 11

2h  = 0 - 11

2h = -11

Divide both sides by 2

\frac{2h}{2} = -\frac{11}{2}

h = -\frac{11}{2}<em> ------ Second value of h</em>

Since height can be negative, we'll discard h = -\frac{11}{2}

Hence, the usable value of height is h = 4

Recall that b = 3 + 2h

Substitute 4 for h

b = 3 + 2(4)

b = 3 + 8

b = 11

Hence, the length of the base is 11 meters

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3 years ago
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