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Naddika [18.5K]
3 years ago
10

Write an equation of the line passing through (2,-5) and (6,3)?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
5 0

the answer is y = 1/2x - 6

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PLZ HELP ASAP SOLID GEOMETRY WORD PROBLEMS
yan [13]
The volume of the candle initially is:
V=Ab*h
Area of the base of the cylinder: Ab=pi*r^2
pi=3.14
Radius of the base: r=4 cm
Height of the cylinder: h=6 cm

Ab=pi*r^2
Ab=3.14*(4 cm)^2
Ab=3.14*(16 cm^2)
Ab=50.24 cm^2

V=Ab*h
V=(50.24 cm^2)*(6 cm)
V=301.44 cm^3

The candle melts at a constant rate of:
r=(60 cm^3)/(2 hours)=(120 cm^3)/(4 hours)=(180 cm^3)/(6 hours)
r=30 cm^3/hour

The amount of candle melted off after 7 hours is:
A=(30 cm^3/hour)*(7 hours)
A=210 cm^3

The percent of candle that is melted off after 7 hours is:
P=(A/V)*100%
P=[(210 cm^3)/(301.44 cm^3)]*100%
P=(0.696656051)*100%
P=69.66560510%
Rounded to the nearest percent
P=70%

Answer: 70%

8 0
3 years ago
huong and kathyrn each day impeoved their yards by planting rose bushes and ornamental grass. they bought their supplies from th
marta [7]

Answer:

One rose bush = $3

One bunch of ornamental grass = $4

Step-by-step explanation:

We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

14r+7g=70\\5r+14g=71

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

(*-2)14r+7g=70\\5r+14g=71\\-------\\-28r-14g=-140\\5r+14g=71\\--------\\-23r=-69\\r=\frac{-69}{-23}=3

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

14r+7g=70\\14(3)+7g=70\\42+7g=70\\7g=70-42\\7g=28\\g=\frac{28}{7}=4

Thus, 1 bunch of ornamental grass is $4.

5 0
3 years ago
Are 9x and 9x2 like terms? Explain why or why not?
enot [183]

Answer:

no

Step-by-step explanation:

they are not like terms because the term 9x^2 is to the 2nd power which means that you are supposed to times the number by itself 2 times and 9x is not to the 2nd power so it stays the same.

4 0
3 years ago
Need help answer to this? n^2-5=-4????????
dalvyx [7]
The answer is n= -1.

Hope this helps
8 0
3 years ago
He first five terms in the arithmetic sequence an = 8n, starting with n = 1.
Marat540 [252]
8,16,24,32,40
All you have to do is replace the n in 8n with the sequance number you're looking for
like for instance:
8(1)=8
8(2)=16
7 0
3 years ago
Read 2 more answers
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