All categories

3 years ago

How do i find the intercepts of the equation -5x-4y=10

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

8 0

Answer:

To find the x intercept, let y=0. To find the y-intercept, let x=0. Hence, the x-intercept of the given equation is -2 and the y-intercept is -5/2.

Step-by-step explanation:

Let - 5x - 4y = 10 be the given equation.

Simplify the whole equation by dividing both sides by -1 :

5x + 4y = -10

To get the x-intercept, simply let y=0 :

5x + 4(0) = -10 (substitution)
5x = -10 (evaluate)
x = -2 (simplify by dividing both sides of the equation by 5)

To get the y-intercept, simply let x=0 :

5(0) +4y = -10 (substitution)
4y = -10 (evaluate)
y = -10/4 (simplify by dividing both sides of the equation by 4)
y = -5/2 (simplify the fraction)

You might be interested in

Determine whether (7,9) is a solution of 7x+2y= −7.

topjm [15]

We can check by subbing in the values.

7x + 2y = -7
(7,9).....x = 7 and y = 9
now we sub
7(7) + 2(9) = -7
49 + 18 = -7
67 = -7 (incorrect)....therefore, (7,9) is NOT a solution for this equation

8 0

3 years ago

A line goes through the points (0, -5) and (-3, -3). Find the slope, and then use the point that is the y-intercept to write the

ValentinkaMS [17]

Answer:

y = -(2/3)x - 5

Step-by-step explanation:

y-int = -5

m = rise/run

m = (-5-(-3))/(0-(-3))

m = -(2/3)

therefore,

y = -(2/3)x - 5

6 0

2 years ago

Brandon sold at least 168 tickets for a carnival. He sold 4 more adult tickets than children tickets.

iris [78.8K]

Answer:

Step-by-step explanation:

6 0

3 years ago

Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value o

strojnjashka [21]

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

n: 1 2 3 4

f (n): 260 360 460 560

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

$a_{n}=\frac{n}{2}[2a+(n-1)d]$

Compute the value of f (11) as follows:

$f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]$

$=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360$

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.

5 0

3 years ago

A cab rider from your home to the airport cost $23.47. If you want to tip the cab driver close to 10 percent of the fare, how mu

Cerrena [4.2K]

Answer:

you should tip $2.34

Step-by-step explanation:

For 10% just move the decimal one place to the left and round

Hope this helps! :)

3 0

3 years ago

Read 2 more answers