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erastova [34]
3 years ago
5

Which equation is a line of symmetry for the graph shown

Mathematics
1 answer:
Aliun [14]3 years ago
8 0
For a line, a symmetric line is any perpendicular line to it, because if you drop a perpendicular line, the line on one side is just a reflection of the other side.

so, in short, what is a likely equation of a line perpendicular to that one?

well, what's the slope of the line on the graph anyway?  well, notice, we have a point of (-3,-4), let's pick another point on the line to get its slope, hmmm say (0,8),

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad 
(\stackrel{x_2}{0}~,~\stackrel{y_2}{8})
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-(-4)}{0-(-3)}\implies \cfrac{8+4}{0+3}\implies \cfrac{12}{3}\implies 4

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{\stackrel{slope}{4\implies \cfrac{4}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{4}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{4}}}

so, a line whose slope is -1/4 is a likely line of symmetry for that line, since it'd be a perpendicular line to it, and since you know your slope-intercept forms, you know which one that is.
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Simplify (−6.5)(−4)(−2.8)
Flura [38]
Since there are three negative numbers your product will be negative.
6.5 * 4 = 26.0
26. * 2.8 =
208
52
------------------
72.8
Answer is -72.8
8 0
3 years ago
A beachball has a surface area of about 615.75 square meters. Find the
Genrish500 [490]

Answer: The radius of the ball is 7 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a sphere: 4 π r^2

Replacing with the value given:

615.75 = 4 π r^2

Solving for r (radius):

615.75 /4π= r^2

√(615.75 /4π) =r

r = 6.99 = 7m (rounded)  

The radius of the ball is 7 meters.

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for
Vanyuwa [196]

The graph that represents the inequality has been shown in the attachment.

<h3>How to solve for the graph</h3>

We have these equations

y ≤ −3x + 1

y ≤ x + 3

We remove the inequality sign from both of these equations

y = −3x + 1

y = x + 3

−3x + 1  = x + 3

such that

x = -0.5

we use this value for x in any of the equations

x + 3 = -0.5 + 3

= 2.5

the point of intersection is at 2.5, -0.5

we test for the origin. 0,0

3x + 1

= 3*0 + 1

= 1

for  x + 3

0+3 = 3

This is 0≤1 and 0≤3

Hence the graph should be shaded to the origin.

Read more on a graph here: brainly.com/question/14030149

#SPJ1

7 0
2 years ago
Which statement is necessarily true if || ?
sp2606 [1]

Can you give the choices please


7 0
3 years ago
Solve the equation 6(3x + 4) = 4x -4.<br> 10<br> 7<br> 0x = -2<br> Ox=2
Tanzania [10]
-2 is the answer! Remove the parentheses then move the terms. After that, collect the terms and calculate. Lastly, divide both sides.
5 0
3 years ago
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