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3 years ago

Find the slope of the line (-3,-2) (1,6)

Mathematics

1 answer:

nlexa [21]3 years ago

5 0

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 6)

m = $\frac{6-(-2)}{1-(-3)}$ = $\frac{6+2}{1+3}$ = $\frac{8}{4}$ = 2

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The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the

natta225 [31]

Correct question is;

The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the cheetah ran in hours. Solve (f/g)(3), and interpret the answer.

Answer:

26 is the cheetahs rate in miles per hour.

Step-by-step explanation:

We are given;

f(x) = 6x + 8

g(x) = x − 2

Thus;

f/g = f(x)/g(x)

> (6x + 8)/(x − 2)

Since we are looking for (f/g)(3), then we have;

> (6(3) + 8)/((3) − 2) = 26

Since f(x) is distance and g(x) is time, then, we know that distance/time = speed. Thus, the interpretation is 26 mph which is the speed of the cheetah.

3 0

3 years ago

May you help me with this question please

Lostsunrise [7]

Answer:

<em>Option C</em>

Step-by-step explanation:

Consider each of these graphs. Let us formulate an inequality for each of them, and match the one with an inequality of $x > - 14.5$ ;

$Graph 1, x > 13.5\\Graph 2, x \geq 14\\Graph 3, x > 14.5\\Graph 4, x \geq 15$

Graph 3 is the only one that matches with the inequality provided to us.

* Note that shaded circles are represented by a greater / less than or equal to, and non - shaded circles are represented by a greater / less than sign.

<em>Solution ⇒ Graph 3</em>

5 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line

Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

$y=\frac{1}{6}x+8$

Further explanation:

Given equation of line is:

$6x+y=3\\y= -6x+3$

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

$m_1=-6$

Product of slopes of perpendicular lines is -1

$m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}$

The equation of new line can be written as:

$y=m_2x+b\\$

Putting m2

$y=\frac{1}{6}x+b$

To find the value of b, we will put (-6,7) in equation

$7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8$

Putting the values of b and m in general equation

$y=\frac{1}{6}x+8$

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

#LearnwithBrainly

5 0

2 years ago

Simplify the expression where possible. (6^3)^-3

astraxan [27]

$\bf ~\hspace{7em}\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
~\hspace{4.5em}
a^n\implies \cfrac{1}{a^{-n}}
~\hspace{4.5em}
\cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
(6^3)^{-3}\implies 6^{-3\cdot 3}\implies 6^{-9}\implies \cfrac{1}{6^9}\implies \cfrac{1}{10077696}$

3 0

3 years ago

Read 2 more answers

Can any one help me with this problem

Feliz [49]

Answer:

im so sorry but i havent learned this yet sorry

Step-by-step explanation:

3 0

3 years ago