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3 years ago

Find the slope-intercept form of the equation of the line passing through the given points. (1, 1), (7, − 1 4 )

1 answer:

6 0

Slope = (-14-1)/(7-1) = -15/6

y = mx + c
y = -15/6 x + c
at (1,1)
1 =-15/6(1) + c
c = 1 + 15/6 = 21/6

y = -15/6 x + 21/6 or
6y = -15x + 21

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A 96 inch stick breaks into two pieces in the ratio of 3:5. How big is each piece?

Svetlanka [38]

40 cm.

let the length of the first part be 3x, second part be 4x, third part be 5x.

where x is a positive length in cm.

why 3x,4x and 5x ?

so that the ratio of lengths of the 3 parts be 3:4:5.

total length of the stick = 3x + 4x + 5x = 12x=96cm

so x=96/12 = 8cm

therefore the largest part of the stick (5x)= 5*8 =40cm

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2 years ago

Two sides and an angle are given. determine whether the given information results in one triangle, no triangle, three triangles,

Crazy boy [7]

We are given 2 sides 18.7, 16.1 and a NON-included angle.
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altitude = 18.7 * sine (35)
altitude = 18.7 * 0.57358
altitude = <span> <span> <span> 10.725946 </span> </span> </span>
In this case, side c is greater than the altitude and is less than side a so 2 two triangles will be formed.

Source:
http://www.1728.org/trigssa.htm

3 0

3 years ago

Geometry segment proofs

Lemur [1.5K]

solving a linear equation we conclude that the value of x must be 6.

<h3>How to find the value of x?</h3>

On the statement we have the relations:

AB = BC

BC = CD

For the transitive property, then we have that:

AB = CD

Replacing the equations in the image, we get:

2x + 1 = 4x - 11

Solving this linear equation for x we get:

1 + 11 = 4x - 2x

12 = 2x

12/2 = x

6 = x

So yes, solving that linear equation we conclude that the value of x must be 6.

Learn more about linear equations:

brainly.com/question/1884491

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marshall27 [118]

Answer:

x = 33

Step-by-step explanation:

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