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2 years ago

Find the slope of the line that passes through each pair of points A(0,1), B(2,7)

2 answers:

5 0

$\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{2-0} = \frac{6}{2} =\boxed{3}$

The slope of the line that passes through points (0,1) and (2,7) is 3

Finger [1]2 years ago

3 0

The slope would be 3.
7-1=6
2-0= 2
6/2=3

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Which of the following is the equation for the graph shown?

masha68 [24]

The equation of the circle shown is:

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The equation of a circle of center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

From the graph, it can be seen that the center of the circle is (0,0), thus $(x_0, y_0) = (0,0)$ and the radius is of r = 10, hence the equation is:

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1 year ago

(25 points) Ricardo wants to mix 1 part yellow paint to 3 parts blue paint to make a certain shade

Lapatulllka [165]

Answer:

6 pints of blue

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2 years ago

Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh

gavmur [86]

The simplified expression of the function $f(x) =\dfrac{x-4}{x^2+13x+36}$ is

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<h3>What is a function?</h3>

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

$f(x) =\dfrac{x-4}{x^2+13x+36}$

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$f(x) =\dfrac{x-4}{x^2+4x +9x+36}$

Factorize the denominator

$f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}$

Factor out x + 9

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$

The simplified expression of the function $f(x) =\dfrac{x-4}{x^2+13x+36}$ is

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1 year ago

What is the equatipn of the linear graph?<br> (-4, 6).<br> (1, -9)

dusya [7]

Answer:

y = -3x - 6

Step-by-step explanation:

first, find the slope

(-4, 6)

(1, -9)

remember the equation for the slope

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

insert given points

$x_{1} = -4\\y_{1} = 6\\\\x_{2} = 1\\y_{2} = -9$

((-9) - (6)) / ((1) - (-4))

simplify

( -9 - 6) / (1 + 4)

= -15/ 5

= -3

now insert it into the equation of the line

remember, the equation of the line is

y = mx + b

where "m" is the slope

and "b" is the y-intercept

to find "b", you just have to plug in a point that is found on the line

we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem

y = mx + b

substitute in the slope of this line

y = -3x + b

now substitute in the given points

6 = -3 * -4 + b

and solve it like any algebra problem, by inverse operations and simplifying

6 = 12 + b

-12 -12

-6 = b

so the equation of the line is

y = -3x -6

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3 years ago