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AlladinOne [14]
2 years ago
9

Find the slope.....​

Mathematics
1 answer:
Luden [163]2 years ago
4 0

Answer:

slope = 1/2

Step-by-step explanation:

slope = y2-y1 / x2-x1

1 - -2 / 4 - -2 = 3/6 = 1/2

or think of it this way. for every 1 step up you take 2 steps to the right to stay on the line. 1/2

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Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .
Zinaida [17]

Answer:

\sf y=9x-5

Step-by-step explanation:

\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned}

6 0
2 years ago
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A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of X
Zinaida [17]

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

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7 0
2 years ago
the rectangular gable is 8 feet tall the area of the gable is 120 square feet, what is the length of the base
Leviafan [203]
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7 0
2 years ago
What is the equation of a line perpendicular to 3X+6Y= -3 and passes through the points (1,-5)
LenaWriter [7]

Answer:

Step-by-step explanation:

6y = -3x - 3

y = -1/2x - 1/2

perp. 2

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y + 5 = 2x - 2

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3 0
3 years ago
The table represents an exponential function.
kkurt [141]

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{1}} =\dfrac{4}{9} \\b^2=\dfrac{4}{9}\\b=\sqrt{\dfrac{4}{9}} \\b=\dfrac{2}{3}

The multiplicative rate of change, b is 2/3.

5 0
3 years ago
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