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Vladimir [108]
3 years ago
11

What is the slope of the line passing through the points (2,-5) and(4,1)

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-5)}{4-2}\implies \cfrac{1+5}{2}\implies \cfrac{6}{2}\implies 3

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What is 4 60/72 as a decimal
Whitepunk [10]

Answer:

0.206897

Step-by-step explanation:

it is 0.206897 because you have take the whole make uneven fraction an add it to 60 in 60/72 to get 348 divided equals 0.206897

3 0
3 years ago
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An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to
iris [78.8K]

Answer: BC=14.8

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

sin\alpha =\frac{opposite}{hypotenuse}

In this case, you can identify that:

\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24

Substituting values, and solving for "x", you get:

sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416

Therefore, the length of BC rounded to nearest tenth, is:

BC=2(7.416)=14.8

6 0
3 years ago
Why does the value of money you save increase over time?
RideAnS [48]

<u>Answer</u>

A. Because it earns interest.

<u>Explanation</u>

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By so doing your money must be increased since it is used in other ways. These money increase is known as interest.

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3 years ago
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Let g(x) = |x + 1|, solve the equation g(x) = 2x + 4
hammer [34]

Answer:

Step-by-step explanation:

g(x)= -x-1 or g(x) = x+1

if g(x) = -x-1

-x-1=2x+4

-x=2x+5

-x/2=x+5

-x/2 -x=5

-x/2-2x/2=5

-x-2x=5

-3x=5

x=5/-3

if g(x) = x+1

x+1=2x+4

x=2x+3

x/2=x+3

x/2-x=3

x/2-2x/2=3

x-2x=3

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5 0
3 years ago
The measure of a base isosceles triangle is 43? what is the measure of the vertex angle
Anestetic [448]

Answer:

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Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

4 0
3 years ago
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