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exis [7]
2 years ago
7

A line has an c intercept of 3 and a y intercept of negative 6. What is the slope intercept form of it’s equation

Mathematics
1 answer:
Schach [20]2 years ago
8 0

Answer:

y = 2x - 6

Step-by-step explanation:

Slope-intercept form is  y = mx + b, where m is the slope and b is the y-intercept.

The y-intercept is already given and is -6.

By c intercept, I am assuming you meant x-intercept.  With an x-intercept of 3, the point is (3,0).  With a y-intercept of -6, the point is (0,-6).

Use the two points to find the slope using the following equation.

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

Plug the points into their respective positions and solve.

m=\frac{-6-0}{0-3}\\ m=\frac{-6}{-3} \\m=2

The slope is 2.

Your equation is  y = 2x - 6.

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Korvikt [17]
So you know: 
1) There are 180° in a triangle.
2) A straight line is also 180°.
So the three angles in the triangle are 
2x, 103-x, and (180-(6x-7)).
Solve for x!
2x + 103-x + (180-(6x-7)) = 180
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4 0
3 years ago
6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
eimsori [14]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

8 0
2 years ago
Find the common ratio for the geometric sequence defined by the formula: an=40(2‾√)n−1 a n = 40 ( 2 ) n − 1
WITCHER [35]

The ratio of the geometric sequence 402^{n-1} is 2.

Given that geometric sequence is 40*2^{n-1} and we have to find the common ratio of all the terms.

Geometric sequence is a sequence in which all the terms have a common ratio.

Nth termof a GP is ar^{n-1} in which a is first term and r is common ratio.

Geometric sequence=40*2^{n-1}

We have to first find the first term, second term and third term of a geometric progression.

First term=40*2^{1-1}

=40*2^{0}

=40*1

=40

Second term=40*2^{2-1}

=40*2^{1}

=40*2

=80

Third term=40*2^{3-1}

=40*2^{2}

=40*4

=160

Ratio of first two terms=80/40=2

Ratio of next two terms=160/80=2

Hence the common ratio of geometric sequence is 2.

Learn more about geometric progression at brainly.com/question/12006112

#SPJ1

4 0
1 year ago
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