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Lemur [1.5K]
3 years ago
12

What is the equation of the line that passes through

Mathematics
1 answer:
irinina [24]3 years ago
7 0
Solve equation for y.

5x - y = 3

-y = -5x + 3

y = (-5x + 3)/(-1)

y = 5x - 3

The slope for this equation is 5.

The slope of the equation we want is the negative reciprocal of 5.

Let m = slope of equation we want.

m = -1/5

We are given the point (10,4).

Plug both into the point-slope formula.

y - 4 = (-1/5)(x - 10)

y - 4 = (-1/5)x + 2

y = (-1/5)x + 2 + 4

The equation we want is

y = (-1/5)x + 6

Did you follow?
You might be interested in
A cleaning crew can clean 5 offices in 6hours.how many offices can they clean in 12 hours
snow_lady [41]
Set up a proportion like this
   \frac{hours}{offices} = \frac{hours}{offices}
 
So your proportion would be:
  \frac{6}{5} = \frac{12}{x}
We put x for offices because they are asking for the number o offices a crew can paint in 12 hours, and also we don't know the number of offices they can paint in 12 hours
       so we cross multiply and we get
     6x=60, we got 60 by multiplying 12 and 5
Now we divide both sides by 6 and we get
  x=10
S the crew can paint 10 offices in 12 hours.
6 0
3 years ago
Read 2 more answers
A die is rolled. Find the probability of the given event. (a) The number showing is a 2; The probability is : (b) The number sho
Sphinxa [80]

Answer:

(a) 1/6

(b) 1/2

(c) 1/3

Step-by-step explanation:

There are 6 possible outcomes.

(a) The number is 2: only 1 outcome out of 6, hence 1/6

(b) The number is even: {2, 4, 6} - 3 outcomes out of 6, hence 3/6 = 1/2

(c) The number is greater than four: {5, 6} - 2 outcomes out of 6, hence 2/6 = 1/3

5 0
2 years ago
-3 is a solution of y &gt; -2<br> true or false
BartSMP [9]
That is false.  When you look at a number line, -3 is to the left of -2.  A number to the left of another number is less than the number to the right. 
5 0
3 years ago
Read 2 more answers
I need help finding the answer to this:
anygoal [31]

Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

Initial deposit of $400.

This means that P = 400

2% annual interest

This means that I = 0.02

How much interest will he earn in 9 months?

An year has 12 months, this means that t = \frac{9}{12} = \frac{3}{4} = 0.75

This is E. So

E = P*I*t = 400*0.02*0.75 = 6

He will earn $6 in interest in 9 months.

8 0
3 years ago
Kelly bought 3 movie tickets and spent $39.60. each ticket cost the same amount. which equation can be used to solve for p, the
lutik1710 [3]

Answer:

It's D

Step-by-step explanation:

since kelly bought three tickets, you divide by three to find the cost of each individual ticket

6 0
3 years ago
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