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Anna11 [10]
2 years ago
9

Plz help me out... thx

Mathematics
1 answer:
Arlecino [84]2 years ago
8 0
A. (15,-20)
b. (-17,57)
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A line is graphed below.<br> Write an equation in the form y = mx + b that represents this line
galben [10]
<h3><u>Explanation</u></h3>
  • Slope-Intercept form

y = mx + b \\ m = slope \\ b = y - intercept

  • Calculate the slope with two given coordinate by using rise over run.

\begin{cases}(x_1,y_1) = ( - 4,0) \\ (x_2,y_2) = ( 0,2) \end{cases}

These two coordinate points are part of the graph and can be used to find the slope.

m =  \frac{y_2 -y_1 }{x_2 -  x_1}

Substitute the coordinate points in the formula.

m  =  \frac{2 - 0}{0 - ( - 4)}  \\ m =  \frac{2}{ 4}  \\ m =  \frac{1}{2}

Therefore, the slope is 2.

Rewrite the equation in slope-intercept.

y =  \frac{1}{2} x + b

  • Calculate the y-intercept by substituting any given points in new rewritten equation.

(x,y) = ( 0,2)

I will be substituting these coordinate points in the equation.

y =  \frac{1}{2} x + b

Substitute x = 0 and y = 5 in the equation.

2 =  \frac{1}{2} (0) + b \\ 2 = 0 + b \\ 2 = b

Therefore the y-intercept is (0,2).

Rewrite the equation.

y =  \frac{1}{2} x + 2

<h3><u>Answer</u></h3>

<u>\large \boxed{y =  \frac{1}{2} x + 2}</u>

<em>If</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>any</em><em> </em><em>questions</em><em> </em><em>related</em><em> </em><em>to </em><em>the</em><em> </em><em>answer</em><em>,</em><em> </em><em>feel</em><em> </em><em>free to</em><em> </em><em>ask me</em><em> </em><em>via</em><em> </em><em>comment</em><em>.</em><em> </em>

3 0
3 years ago
Giving 20 Brainly points pls solve
tresset_1 [31]

The volume of the cylinder is 254,571.43cm³.

The surface area of the cylinder is 22,628.57 cm².

<h3>What is the volume of the cylinder?</h3>

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder =πr²h

  • π = 22/7
  • r = radius = diameter / 2 = 60/2 = 30cm

22/7 x (30²) x 90 = 254,571.43cm³

Surface area = 2πrh + 2πr²

(2 x 22/7 x 30 x 90) + (2 x 22/7 x 30²)

16, 971.43 + 5657.14 = 22,628.57 cm²

To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219

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6 0
2 years ago
Find f(1) if.<br> f(x)=x^3+2x^2-x-1
vivado [14]

Answer:

1

Step-by-step explanation:

f(x)=x^3+2x^2-x-1

f(1)=1^3+2(1)^2-1-1

f(1)=1+2*1-1-1

f(1)=1+2-1-1=3-1-1=2-1=1

4 0
3 years ago
I don’t think I wanna do this
Vedmedyk [2.9K]
$89.10 is the best guess.
7 0
3 years ago
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Compare the graphs f(x)=(x-10)^2+8 with the graph of f(x)=x^2
BlackZzzverrR [31]

Answer:

b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).

Step-by-step explanation:

See attached image.

3 0
2 years ago
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