1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VashaNatasha [74]
3 years ago
10

Which of the ordered pairs is a solution of the following equation 5x-2y=20

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

Step-by-step explanation:

5x + 2y = 20

Here we will show you how to calculate the following:

Calculate and show the solution for the x-intercept and y-intercept of 5x + 2y = 20.

Calculate the graph plot coordinates for 5x + 2y = 20

Solve 5x + 2y = 20 for x and also for y.

Calculate and show the solution for the slope of 5x + 2y = 20

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

5x + 2y = 20

5x + 2(0) = 20

x1 = 4    y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

5x + 2y = 20

5(0) + 2y = 20

y2 = 10    x2 = 0

 

Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 5x + 2y = 20 as follows:

(x1,y1) and (x2,y2)

(4,0) and (0,10)

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 5x + 2y = 20

m = (y2 - y1)/(x2 - x1)

m = (10 - 0)/(0 - 4)

m = -2.5

You might be interested in
In the right triangle shown Ac=BC and AB=6 to the square root of 3, how long are each of the legs
Inga [223]

Answer:

6 units

Step-by-step explanation:

I will just assume that you made a typo when typing the question when saying AB is 6√3. Here is the solution if AB = 6√2.

Since it is given that ABC is a right triangle and x labels each of the legs, the triangle is a right isoceles triangle.

Now we can use the right isoceles triangle theorem to solve the problem. This theorem states that if a leg is "x" in a right isoceles triangle, then the hypotenuse is equal to x√2.

Here, the hypotenuse is equal to 6√2. To figure out the legs, you need to solve the equation 6√2 = x√2. It is solved here:

6√2 = x√2 (Divide by √2)

x = 6

The length of the legs are 6 units.

4 0
3 years ago
8. a number increased by five and then divided by two
Butoxors [25]

Answer:3

Step-by-step explanation:

1+5=6

6/2=3

4 0
3 years ago
Read 2 more answers
Your friend says that V169 is 13. Another
Katena32 [7]
The first friend your very welcome
4 0
3 years ago
Read 2 more answers
Write as a unit rate: 66 miles to 3 gallons *
gladu [14]

Answer: 22 miles per gallon

Step-by-step explanation: 66/3 = 22.

6 0
3 years ago
Read 2 more answers
Elena plans to ride her bicycle 5 miles to a park and then ride several times
Aneli [31]

Option A

Elena need to ride around the  loop four or more times

<em><u>Solution:</u></em>

Given that Elena plans to ride her bicycle 5 miles to a park and then ride several times  around a loop in the park that is 3 miles long

Then she will ride the same way  home

She wants to ride a total of at least 22 miles

<em><u>Given inequality is:</u></em>

3t + 10 > 22

Where "t" is the number of times Elena rides around the loop

<em><u>Solve fot "t" in given inequality</u></em>

3t + 10 > 22

Subtract 10 both sides

3t + 10 - 10 > 22 - 10

3t > 12

Divide by 3 both sides

t > 4

The solution is all real numbers greater than or equal to 4

Which means 4 or more times

Therefore, Option A is correct.

4 0
3 years ago
Other questions:
  • 7a+(8b) +(-15a)+9b + (-4c)+8=
    11·2 answers
  • The weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper. Is it proportional
    5·2 answers
  • Audra's paper airplane is 13.8 centimeters long. Jordan's paper airplane is 9/10 centimeters shorter than Audra's. How long is J
    7·1 answer
  • Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5 meters
    14·1 answer
  • 14.4 Which Measure of Center to Use?
    12·1 answer
  • Graph the piecewise-defined function.
    9·1 answer
  • Help me out please?
    5·1 answer
  • Whats 9 plus 10<br> My calculator broke and i need help
    7·1 answer
  • 7) hn) = n+1 g(n) = n³+n Find (hog)(n) n+n​
    10·1 answer
  • HELPP MEE PLEASEE! ILL TRY TO MARK U BRAINLIEST IF PEOPLE AINT SELFISH AND USE UP THE ANSWER BOXES
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!