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otez555 [7]
3 years ago
7

What is an equation of the line that passes through the points (0, -5) and (-5,-1)?

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
5 0

Answer:

y=-\frac{4}{5}x-5

Step-by-step explanation:

The coordinates (0,-5) tells us the y intercept of the line, which is -5.

To find the equation of the line, we  have to use the equation m=\frac{y2-y1}{x2-x1} to find the slope of the line. Plug in the values of the other coordinates (-5,-1) into the equation, which would then leave you with :

m=\frac{(-1)-(-5)}{(-5)-0}

we then solve for m(the slope) and we get:

m=-\frac{4}{5}

so the equation of the line is y=-\frac{4}{5}x-5

Mazyrski [523]3 years ago
3 0

Answer:

we find first slope

m=(-5+1)/(0+5)

m=-4/5

y-y1=m(x-x1)

y+ 5=(-4/5)(x-0)

5y+25=-4x

so equation is. 4x+5y+25=0

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The angles of a pentagon are x, x − 5 0 , x + 100 , 2x + 150and 2x + 300 . Find all the angles.
miv72 [106K]

Answer:

The interior angles are 70°,65°,80°,155° and 170°

Step-by-step explanation:

step 1

Find the sum of the interior angles of the pentagon

The sum is equal to

S=(n-2)*180°

where

n is the number of sides of polygon

n=5 (pentagon)

substitute

S=(5-2)*180°=540°

step 2

Find the value of x

Sum the given angles and equate to 540

x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°

7x+50=540°

7x=490°

x=70°

step 3

Find all the angles

x=70°

(x-5)=(70-5)=65°

(x+10)=(70+10)=80°

(2x+15)=(2*70+15)=155°

(2x+30)=(2*70+30)=170°

8 0
2 years ago
Mario worked from 8:25 to 12:45 yesterday. Today
solmaris [256]

The number of hours he worked in all (written in fraction form) is 8\frac{1}{6} \ hours

From the question,

Mario worked from 8:25 to 12:45 yesterday.

From 8:25 to 12:45 gives 4 hours 20 minutes

Also, from the question,

Today  he will work from 11:20 to 3:10

From 11:20 to 3:10 gives 3 hours 50 minutes

To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,

4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes

Now, to put the answer in fraction form, we will convert 10 minutes to hours

NOTE: 60 minutes = 1 hour

∴ 10 minutes = \frac{10}{60} \ hours = \frac{1}{6} \ hours

∴ 8 hours 10 minutes = 8\frac{1}{6} \ hours

Hence, the number of hours he worked in all (written in fraction form) is 8\frac{1}{6} \ hours

Learn more here: brainly.com/question/3164396

6 0
2 years ago
Is floor(x) periodic?
diamong [38]

If you look at the graph of y = floor(x), you'll see a stairstep pattern that climbs up as you read from left to right. There are no vertical components to the graph. There are only horizontal components.

The graph is not periodic because the y values do not repeat themselves after a certain x value is passed. For instance, start at x = 0 and go to x = 3. You'll see the y values dont repeat themselves as if a sine function would. If you wanted the function to be periodic, the steps would have to go downhill at some point; however, this does not happen.

Conclusion: The function floor(x) is <u>not</u> periodic.

4 0
3 years ago
Read 2 more answers
Solve the following equation for the unknown quantity: 12x-8=3x+10. a. x=4 b. =2 c =12 d. x=1/2
dezoksy [38]

Answer:

b. x=2

Step-by-step explanation:

Step 1- Move the variable to one side.

12x-8= 3x+10

-3x     -3x

9x-8= 10

Step 2- Add 8 to both sides.

9x-8= 10

  +8   +8

9x= 18

Step 3- Divide to both sides.

<u>9x</u>= <u>18</u>

9     9

x= 2

5 0
3 years ago
The square of a number is equal to 24 more than twice the number. Find the negative number. Please help me with this problem. 
alisha [4.7K]
N^2 = 24 + 2n
n^2 - 2n - 24 = 0
(n-6)(n+4) = 0
n = 6 , n = - 4
4 0
3 years ago
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