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bearhunter [10]
3 years ago
9

Passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?

Mathematics
2 answers:
Ilya [14]3 years ago
8 0

Answer:

The answer is C. -5x - 3y = 0

ratelena [41]3 years ago
5 0

ANSWER

- 5x  - 3y = 0

EXPLANATION

The line that passes through the origin has equation of the form:

y=mx

Where m is the slope.

Since the line is parallel to the line through A(-3, 0) and B(-6, 5), they have the same slope.

The slope is given by:

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

m =  \frac{5 - 0}{ - 6 -  - 3}  =  -  \frac{5}{3}

Hence the required equation is:

y =   - \frac{5}{3} x

Multiply through by 3,

3y =  - 5x

In standard form, the equation is

- 5x  - 3y = 0

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Can I have help with the question
sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y =  \frac{7}{9} x + \frac{16}{9}

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

\frac{9-0}{0-7}=\frac{9}{-7}

-> The slopes of two perpendicular lines are negative reciprocals of each other, so \frac{7}{9} will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = \frac{7}{9} (x-3.5)

y - 4.5 = \frac{7}{9} x-\frac{49}{18}

y = \frac{7}{9} x-\frac{49}{18} + 4.5

y =  \frac{7}{9} x + \frac{16}{9}

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
1. You can finish 9 math problems in 20/3 minutes. What is your unit rate of problems per minute?
MArishka [77]
Where is the question to this or is this the answer
8 0
3 years ago
A notary receives $ 3500 for elaborating a title property and $2000 for the constitutive act of an enterprise. In a month did a
Andrew [12]

Answer:

6 titles and 16 acts were elaborated

Step-by-step explanation:

Let the number of titles be t and the number of acts be a

Since the total is 22 operations:

a + t = 22 •••••••(i)

Total amount from titles = 3500 * t = 3500t

Total amount from acts = 2000 * a = 2000a

2000a + 3500t = 53,000 ••••••(ii)

From i, a = 22-t

Insert this in ii

2000(22-t) + 3500t = 53,000

44,000 - 2000t + 3500t = 53,000

1,500t = 53000-44000

1500t = 9000

t = 9000/1500

t = 6

But a = 22 -

= 22-6 = 16

5 0
3 years ago
Brad can bicycle at a rate of 55km/h. What is his speed in feet per second?
Brrunno [24]
55km/60minuess=0.916km per min. 0.916/60second=0.01527km per sec. convert km to feet. which is 50 feet. your answer is 50 feet per second
3 0
4 years ago
What is the base of the expression 11^12? A. 3 B. 11 C. 12 D. 21
lisov135 [29]
<h3>Answer: B. 11</h3>

An exponential has the base at the bottom, or the lower portion. Think of "basement" to help remember this. The exponent is the number up top, so 12 is the exponent.

8 0
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