All categories

3 years ago

Find the x and y intercepts for 3x+4y-12=0

2 answers:

8 0

For any equation:
To find the x-intercepts: set y=0 and solve for x.
To find the y-intercepts: set x=0 and solve for y.

In your equation:
x-int: y=0
3x + 4(0) = 12
3x = 12 divide both sides by 3
x = 4
x-int: (4,0)

y-int: x=0
3(0) + 4y = 12
4y = 12 divide both sides by 4
y =3
y-int: (0,3)

Evgen [1.6K]3 years ago

3 0

Answer:

y=4/9

x=3/8

Step-by-step explanation:

if x=0

then:

3+4y-12=0

3+4y=12

4y=9

y=4/9

now if y=0

then:

3x+4-12=0

3x+4=12

3x=8

x=3/8

You might be interested in

A dress that normally costs $69.50 is on sale for 40% off. What is the sale price of the dress?

Archy [21]

Answer:

$27.80

Step-by-step explanation:

69.50 - 40% = 27.8

hope this helps :)

6 0

3 years ago

Determine the x-intercept and the y-intercept for the graph of this equation: 2x - 3y + 36 = 0

natali 33 [55]

QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

m-> slope.
c-> Y-INTERCEPT
x&y are the coordinates.

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

$2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = \frac{2}{3} x + \frac{36}{3} \\ y = \frac{2}{3} x + \frac{ \cancel{36}^{ \: \: 12} }{ \cancel3} \\ y = \frac{2}{3} x + 12 \\$

SO :-

$m = \frac{2}{3} \\ y - intercept = 12 \: ans$

$slope = \frac{y2 - y1}{x2 - x1} \\ \frac{2}{3} = \frac{0 - 12}{x - 0} \\ 2x = ( - 12) \times 3 \\ x = \frac{ - \cancel{12}^{ \: \: 6} \times 3 }{ \cancel{2}} \\ x = - 18 \: \: ans$

7 0

3 years ago

The equation of a circle is (x−2)^2+(y−16)^2=169 . What is the circle's radius?

Svetllana [295]

Hello!

The equation for a circle is

$(x-h)^{2} +(y-k)^{2} = r^{2}$

r is the radius

To find the radius we take the square root of the number in the radius spot

sqrt169 = 13

The answer is 13

Hope this helps!

8 0

3 years ago

Explain due today I will give brainlist and two thanks ,pls help

Advocard [28]

Answer:

0.666666667

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =

Nadusha1986 [10]

Answer:

The value of a is 10.

Step-by-step explanation:

We are given with the following pair of the linear system of equations below;

$y = -x+9$ and $y = 0.5x-6$ .

Also, the solution is given as (a, -1).

To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.

So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).

First, taking the equation;

$y = -x+9$

Put the value of x = a and y = -1;

(-1) = -(a) + 9

a = 9 + 1 = 10

Now, taking the second equation;

$y = 0.5x-6$

Put the value of x = a and y = -1;

$(-1) = 0.5(a)-6$

0.5a = 6 - 1

0.5a = 5

$a=\frac{5}{0.5}$

a = 10

Since we get the value of a = 10 from the equations, so the value of a is 10.

8 0

3 years ago