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jekas [21]
4 years ago
12

What is the equation of the line that is parallel to the line y = 1/3x + 4 and passes through the point (6, 5)?

Mathematics
1 answer:
Gnom [1K]4 years ago
6 0
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Find Slope
--------------------------------------------------
y = -1/3 x + 4                                      
Slope = -1/3                                       
Slope of the parallel line = -1/3          


--------------------------------------------------
Insert slope into y = mx + c
--------------------------------------------------
y = -1/3 x + c                                  

--------------------------------------------------
Find y-intercept
--------------------------------------------------
y = -1/3 x + c                                   
at point (6, 5)
5 = -1/3 (6) + c                                 
5 = - 2 + c                                         
c = 5 + 2                                         
c = 7

--------------------------------------------------
Insert y-intercept into y = -1/3x + c
--------------------------------------------------
y = -1/3 x + 7 

--------------------------------------------------
Answer: y = -1/3 x + 7 (Answer B)
-------------------------------------------------- 
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Justin plays basketball and scored 1/8 of the 48 points. How many points did he score?
Alinara [238K]
Just divide 48 by 8 to give 6.
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3 years ago
Find the mean, median, and mode for the data set below.<br> weights of books (oz): 10 9 9 14 13 11
ziro4ka [17]

Answer:

Mean: 11

Median: 10.5

Mode: 9

3 0
3 years ago
Ermias and Jeremiah both leave the bookstore at the same time, but in opposite directions. If Jeremiah travels 8 mph faster than
leva [86]

Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.

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

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Jeremiah travels 8 mph faster than Ermias, hence their velocities are:

x, x + 8

They travel in opposite directions, hence in one hour they are 2x + 8 apart.

In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:

8(2x +8) = 240

2x + 8 = 30

2x = 22

x = 11.

Then:

  • x = 11 -> Ermias.
  • x = 11 + 8 = 19 -> Jeremiah.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

3 0
2 years ago
Simplify (Are all division)<br><br>2+4i<br>3i<br><br>3+2i<br>4+i<br><br>2i^11
Alla [95]

We\ know:\ i=\sqrt{-1}\to i^2=-1

\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i

\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i

2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i


Used:\ (a+b)(a-b)=a^2-b^2

6 0
3 years ago
Consider the two data sets. Which has the higher mean and median? What is the higher mean and median?
Klio2033 [76]

Set 1 mean - 23.625

Set 2 mean - 23.5

Set 1 median - 23.5

Set 2 median - 22.5

This shows the answer is D :)

8 0
3 years ago
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