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3 years ago

What’s the x-intercept of the graph of 5x-4y= 20

Mathematics

1 answer:

viva [34]3 years ago

7 0

The x-intercept of the graph is (4 , 0)

Step-by-step explanation:

Let us revise the meaning of x-intercept and y-intercept

x-intercept means value x when y = 0
That means the graph intersects x-axis at point (a , 0), where a the value of x when y = 0
y-intercept means value of y when x = 0
That means the graph intersects y-axis at point (0 , b), where b is the value of y when x = 0

∵ 5x - 4y = 20 is the equation of the graph

- To find x-intercept substitute y by 0

∵ y = 0

∴ 5x - 4(0) = 20

∴ 5x - 0 = 20

∴ 5x = 20

- Divide both sides by 5

∴ x = 4

The x-intercept of the graph is (4 , 0)

Learn more:

You can learn more about x and y intercepts in brainly.com/question/4932386

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NO LINKS!! Please help me with this problem

12345 [234]

Answer:

$\frac{x^2}{784}+\frac{y^2}{400}=1$

Step-by-step explanation:

Horizontal Major Axis:

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}$

Vertical Major Axis:

$\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}+$

So these two expressions are essentially the same with the only difference being the location of "a" and "b". The length of the major axis will be "2a" and the length of the minor axis will be "2b". The way I remember this is because when you have the horizontal major axis the "a" value is in the denominator of the (x-h) and I think of "x" as a horizontal value, since it moves a point horizontally. When you have a vertical major axis the "a" value is in the denominator of (y-k) and I think of "x" as a vertical value, since it moves a point vertically.

So just by looking at the graph, you can easily determine that the eclipse has a horizontal major axis. This can be further proven, since the distance from the origin on the right side is 28, and the distance from the the top to the origin is only 20.

So you could set up an equation to solve for a, since 2a = length of major axis, but since we're given the two points, the "a" value is really just the length from the origin to the right/left side, and combining these together you get the value of 2a/major axis, but you don't have to do that. So by looking at the graph you'll see the distance from the origin to the right side is 28. This means "a=28"

You can do the same thing here for the "b" value, and since the top is 20 units away from the origin, "b = 20"

So now let's set up the equation:
$\frac{x^2}{28^2} + \frac{y^2}{20^2}=1$

Square the values in the denominator

$\frac{x^2}{784}+\frac{y^2}{400}=1$

5 0

2 years ago

Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 f

stiks02 [169]

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = $(x-3)$

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ $(10)(x)$ = $ $(10x)$

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $ $(10+7.50)$ = $17.50.

For (x-3) large driveways Carlos will charge = $ $(17.50)(x-3)$ = $ $(17.50x - 52.50)$

Given, the total amount he makes = $140

So we can write the equation as,

$10x + 17.50x - 52.50 = 140$

$27.50x + 52.50 = 140$

We will move 52.50 to the right side by adding it to both sides. We will get,

$27.50x - 52.50 + 52.50 = 140 + 52.50$

$27.50x = 192.50$

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

$\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}$

$x =\frac{192.50}{52.50}$

$x = 7$

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.

8 0

4 years ago

Ginger's baby weighed only 3 3/8 pounds when it was born. The doctor said it could not leave the hospital until it weighed 5 1/2

Elanso [62]

To subtract 3 3/8 from 5 1/2,
by turning into fractions
[(5x2)+1]/2 = 11/2
[(3x8)+3]/8 = 27/8
 11/2 - 27/8
To subtract fractions, your denominator needs to have the same number. so multiply it by 4
44/8 - 27/8 = (44-27)/8 = 17/8.
17 / 8 pounds or 2 and 1/8 because 17 / 8 = 2 remainder 1.
In terms of weight that is 2.125 pounds.

4 0

3 years ago

What is the measure of the indicated angle ?

S_A_V [24]

unknown angle suppose x

108+x=180(co interior angle)

x=180-108

x=72

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3 years ago

4x+5/6 = 7/2 solve for x

n200080 [17]

Answer:

4x=7/2-5/6

4x=21-5/6

4x=16/6

x=8/12

x=2/3

x=0.6666.....

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3 years ago