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olga55 [171]
2 years ago
9

Write an equation of the line. Express the answer using either the general form or the​ slope-intercept form of the equation of

a line.

Mathematics
1 answer:
Georgia [21]2 years ago
7 0

Answer:

y = x - 4

Step-by-step explanation:

The standard equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the slope

Using the coordinate points (4, 0) and (0, -4)

m = -4-0/0-4

m = -4/-4

m = 1

Since the line cuts the y axis at y = -4, the y-intercept b = -4

Get the equation;

Since y = mx+b

y = 1x + (-4)

y = x - 4

This gives the required equation

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How do you find the common ratio of <br>-3, -18, -108, -648 ​
Olegator [25]
The common ratio is 8

example:

-3 x 8 = -18
-18 x 8= -108
so on so on
6 0
3 years ago
NO LINKS!!!!!
8090 [49]

9514 1404 393

Answer:

  5x^2 +10x = -5

Step-by-step explanation:

The equation will have one solution when the discriminant is zero.

In standard form, the equation is ...

  ax^2 +10x -c = 0

The discriminant of the equation ax^2+bx+c=0 is  ...

  b^2 -4ac

so the discriminant of your equation is ...

  10^2 -4a(-c) = 100 +4ac

We want that to be zero, so we require ...

  100 +4ac = 0

  25 +ac = 0

  ac = -25

Any pair of values of 'a' and 'c' that have a product of -25 will satisfy the requirement. As you state, one possible pair is a = 5 and c = -5. Putting these values into the given equation makes it ...

  5x^2 +10x = -5 . . . . . the equation with a=5, c=-5

_____

<em>Additional comment</em>

Your problem statement does not require that 'a' be non-zero. If <em>a=0</em>, then the equation will have one real solution for <em>any value of c</em>.

If you restrict the solutions to integers, then possibilities include ...

  (a, c) = (1, -25), (5, -5), (25, -1), (-25, 1), (-5, 5), (-1, 25)

6 0
2 years ago
The ratio of the interior angle measures of a triangle is 1:4:5. What are the angle measures?​
Vesna [10]
1x•4x•5x=180
10x=180
10/10x=180/10
X= 18
5 0
3 years ago
A bank loaned out 17000 part of it at the rate of 7% per year and the rest 15% per year. If the interest received in one year to
pogonyaev

x+y=17000 (x.7+y.15)/100=2000 (7x+7y)+8y=200000. 8y=200000-17000.7 y=61.5.5.5 17000-y=9375=x x=9375

6 0
3 years ago
Tickets for the baseball games were $2.50 for general admission and 50 cents for kids. If there were six times as many general a
Makovka662 [10]
There was 3000 general admission tickets sold and 500 kid ticket sold.

How did I get this?

First, we need to see what information we have.
$2.50 = General admission tickets = (G)
 $0.50 = kids tickets =  (K)
There were 6x as many general admission tickets sold as kids. G = 6K

We need two equations:
G = 6K  
$2.50G + $.50K = $7750
Since, G = 6K we can substitute that into the 2nd equation.

2.50(6K) + .50K = 7750
Distribute 2.50 into the parenthesis

15K + .50K = 7750
combine like terms

15.50K = 7750
Divide both sides by 15.50, the left side will cancel out.

K = 7750/15.50
K = 500 tickets
So, 500 kid tickets were sold.

Plug K into our first equation (G = 6k)

G = 6*500
G = 3000 tickets

So, 3000 general admission tickets were sold,

Let's check this:

$2.50(3000 tickets) = $7500 (cost of general admission tickets)
$.50(500 tickets) = $250 (cost of general admission tickets)
$7500 + $250 = $7750 (total cost of tickets)




4 0
3 years ago
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