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2 years ago

What's the distance between the points (4,3) and (16,8)

Mathematics

2 answers:

kompoz [17]2 years ago

7 0

<h3>Answer: 13 units</h3>

===========================================

Work Shown:

The two given points are $(x_1,y_1) = (4,3)$ and $(x_2,y_2) = (16,8)$

Use the distance formula

$d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(4-16)^2+(3-8)^2}\\\\d = \sqrt{(-12)^2+(-5)^2}\\\\d = \sqrt{144+25}\\\\d = \sqrt{169}\\\\d = 13\\\\$

omeli [17]2 years ago

5 0

Answer:

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

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There were 10 students in a teacher's classroom. The next week, there were 19 students. What is the percent increase

mixas84 [53]

Answer:

Step-by-step explanation:

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2 years ago

PLEASE HELPPPP this is my last option

mario62 [17]

Answer:

It's the first option! :)

Step-by-step explanation:

2x + 2k = m, right?

So, to bring 2k alone, we'll subtract 2x.

2k = m - 2x

Now, we'll divide both sides by 2! ^ _ ^

k = (m - 2x) / 2

That's pretty much just the (1)st option! :)

4 0

2 years ago

Read 2 more answers

Triangles abc, dbe, and fbg are all symmetric about the y-axis. what are the coordinates of the centroid?

Drupady [299]

Answer:

The coordinates of the centroid are (0, 5)

Step-by-step explanation:

The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are ( $\frac{x1+x2+x3}{3}$ , $\frac{y1+y2+y3}{3}$ )

In Δ ABC

∵ A = (-20, 0), B = (0, 15), C = (20, 0)

∴ x1 = -20, x2 = 0, x3 = 20

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = ( $\frac{-20+0+20}{3}$ , $\frac{0+15+0}{3}$ ) = ( $\frac{0}{3}$ , $\frac{15}{3}$ ) = (0, 5)

∴ The coordinates of the centroid of Δ ABC are (0, 5)

In Δ DBE

∵ D = (-15, 0), B = (0, 15), E = (15, 0)

∴ x1 = -15, x2 = 0, x3 = 15

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = ( $\frac{-15+0+15}{3}$ , $\frac{0+15+0}{3}$ ) = ( $\frac{0}{3}$ , $\frac{15}{3}$ ) = (0, 5)

∴ The coordinates of the centroid of Δ DBE are (0, 5)

In Δ FBG

∵ F = (-5, 0), B = (0, 15), G = (5, 0)

∴ x1 = -5, x2 = 0, x3 = 5

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = ( $\frac{-5+0+5}{3}$ , $\frac{0+15+0}{3}$ ) = ( $\frac{0}{3}$ , $\frac{15}{3}$ ) = (0, 5)

∴ The coordinates of the centroid of Δ FBG are (0, 5)

∵ The three triangles are symmetric about the y-axis

→ That means they have the same centroid and it lies on the y-axis

∴ The coordinates of the centroid are (0, 5)

8 0

2 years ago

Point G is the midpoint of PQ. <br> PG equals 2X plus 3 and GQ equals 5X -5. what is X?

borishaifa [10]

Answer:

$x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}$

Step-by-step explanation:

$\overline{PG}=2x+3\\\overline{GQ}=5x-5$

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

$2x+3=5x-5$

Adding 5 to both sides:

$2x+8=5x$

Subtracting 2x from both sides:

$8=3x$

Dividing both sides by 3:

$\frac{8}{3}=x$

Therefore:

$x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}$

6 0

3 years ago

Please help me I don’t know how to solve it and will mark brainiliest

Sindrei [870]

Answer: One plain roll is 4 dollars and one shiny roll is 6 dollars.

Step-by-step explanation:

lets start by saying

rolls of plain wrapping paper = x

rolls of shiny wrapping paper = y

Kathryn sold 4 plain rolls and 3 shiny rolls for 34 dollars.

4x+3y=34

Eugene sold 4 plain rolls and 2 shiny rolls for 28 dollars

4x+2y=28

Both equations will look like this.

4x+3y=34

-1(4x+2y)=(28)-1

we can multiply the second equation by -1 to get y alone. (doesn't matter which equation). Once you do that, the positive 4x and the negative 4x cancel out, 3y-2y=1y and 34-28=6. you are left with

1y=6 so one shiny roll is 6 dollars.

now use that price to find the cost of the plain roll.

lets use Kathryn's equation

4x + 3(6)=34

4x + 18= 34

-18 -18

4x=16. Divide by 4 to find cost of one plain roll.

16÷4=4. One plain roll costs 4 dollars.

Lets check. Using Kathryn's equation,

4(4) + 3(6)=34

16+18=34

34=34. We are right.

3 0

3 years ago