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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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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=6\ cm

h=12\ cm

substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}

therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

8 0
2 years ago
Read 2 more answers
The primary purpose of the passage is to
Charra [1.4K]

The main purpose of the passage is to describe the purpose, methods, and results of an experiment. The correct option is B.

Given a passage shown in the attached pictures.

Option B is the best answer. The first paragraph of the passage identifies and describes "Texas squash vines" (line 1), but the main focus of the passage is introduced in the first sentence of the second paragraph. The remainder of the passage focuses on describing the purpose, process, and results of recent research conducted on these Texas squash vines.

Option A is incorrect because the passage doesn’t focus on the assumptions behind a theory but rather on the way in which that theory was tested. Option C is incorrect because the passage does not contain a lot of conflicting data; most of them support the idea that there may be too many scents for the Texas squash. Option D is incorrect because the passage explains the procedures used in a study were “’very labor intensive’” (line 58) but does not present them as particularly innovative.

Hence, the primary purpose from the given passage is to describe the aim, method, and results of an experiment.

Learn more about the passage from here brainly.com/question/12555695

#SPJ4

5 0
2 years ago
INSTRUCTION: Solve the matrix multiplication on the space provided.
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6 0
2 years ago
Kasey and her sister both sold cookie dough. Her sister sold three times as many tubs of cookie dough. If they sold a total of 8
Rufina [12.5K]
X= number of tubs Kasey sold
3x= number tubs sister sold

Add the number sold by Kasey and her sister to equal the total sold (88).

x + 3x= 88
combine like terms

4x= 88
divide both sides by 4

x= 22 number tubs Kasey sold


Number Sold by Sister
3x= 3(22)= 66


CHECK:
x + 3x= 88
22 + 3(22)= 88
22 + 66= 88
88= 88


ANSWER: Kasey sold 22 tubs and her sister sold 66 tubs.

Hope this helps! :)
7 0
3 years ago
is it possible for this app to answer word problems under the subject of algebra 1 math because i really need help
son4ous [18]
Yes it is if the word problem applies to or is about math
7 0
3 years ago
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