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Zolol [24]
3 years ago
13

HDW calculate distance on the coordinate grid?

Mathematics
1 answer:
salantis [7]3 years ago
3 0

Answer:

CD = 10 units

Step-by-step explanation:

Coordinates of the given points are A(2, 14), B(2, 3), C(4, 2) and D(14, 2).

Distance between the two points (x_1,y_1) and (x_2,y_2) is given by the formula,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between the two points C(4, 2) and D(14, 2) will be,

CD = \sqrt{(14-4)^2+(2-2)^2}

     = \sqrt{(10)^2}

     = 10 units

Therefore, distance between C and D is 10 units.

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Find all missing angles <br> y+30+2y=180
kirill [66]

Answer:

Step-by-step explanation:

y+30+2y=180

Add like terms

3y+30=180

Subtract 30 on both sides

3y=150

Divide by 3 on both sides

y=50

Now all you have to do i calculate the angles.

7 0
3 years ago
David wants to fill his backyard swimming pool. His garden hose delivers 40 gallons in 5 minutes. How many gallons of water will
svetlana [45]

Answer:

Part a) 160\ gallons

Part b) 480\ gallons

Step-by-step explanation:

Part a) How many gallons of water will be in the pool after 20 minutes?

we know that

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{20}\frac{gallons}{minutes} \\ \\x=40*20/5\\ \\x=160\ gallons

Part b) How many gallons of water will be in the pool after 1 hour

we know that

1 hour = 60 minutes

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{60}\frac{gallons}{minutes} \\ \\x=40*60/5\\ \\x=480\ gallons

5 0
3 years ago
Finding what percent one number is of another ?
cupoosta [38]
The answer to this question is

1. 60%
2. 30%
8 0
3 years ago
A local high school has 1250 students in grades 9 through 12. Twenty-eight percent of the students in the school are in the nint
dsp73

Answer:175

Step-by-step explanation:

1. Turn 28% into a decima: 0.28

2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350

3. Half the amount of ninth grade students:175

7 0
3 years ago
What is the solution of the system of equations?
umka21 [38]

No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer

Step-by-step explanation:

Let us revise the types of solutions of a system of linear equations

  • One solution
  • No solution when the coefficients of x and y in the two equations are equal and the numerical terms are different
  • Infinitely many solutions when the coefficients of x , y and the numerical terms are equal in the two equations

∵ y = -2x + 5

- Add 2x to both sides

∴ 2x + y = 5 ⇒ (1)

∵ -5y = 10x + 20

- Subtract 10x from both sides

∴ -10x - 5y = 20

- Divide both sides by -5

∴ 2x + y = -4 ⇒ (2)

∵ The coefficient of x in equation (1) is 2

∵ The coefficient of x in equation (2) is 2

∴ The coefficients of x in the two equations are equal

∵ The coefficient of y in equation (1) is 1

∵ The coefficient of y in equation (2) is 1

∴ The coefficients of y in the two equations are equal

∵ The numerical term in equation (1) is 5

∵ The numerical term in equation (2) is -4

∴ The numerical terms are different

From the 2nd rule above

∴ No solution of the system of equations

No solution of the system of equations y = -2x + 5 and -5y = 10x + 20

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

7 0
3 years ago
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