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3 years ago

What is the distance between points (4,2) (6,-5)

Mathematics

1 answer:

egoroff_w [7]3 years ago

5 0

Answer:

Exact form:

$\sqrt{53}$

Decimal Form:

7.280109889280518

Step-by-step explanation:

Use the distance formula to determine the distance between 2 points.

Distance = $\sqrt{(x_{2} -x_{1}) ^2+(y_{2} -y_{1}) ^2$

$\sqrt{6-4^2+(-5-2)^2$

$\sqrt{(2)^2+(-7)^2}$

$\sqrt{4+49}$

$\sqrt{53}$ ≈ 7.280109889280518

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Round each number to the place of the underlined digit.

miv72 [106K]

9514 1404 393

Answer:

11) 14

12) 390

13) 0.5

14) 497

15) 496

16) 1857.21

Step-by-step explanation:

If the digit to the immediate right of the underlined digit is 5 or greater, then the underlined digit is increased by 1 (carrying to higher digits, if necessary). Digits to the right of the underline digit are dropped, or replaced with zero (if they are left of the decimal point).

8 0

3 years ago

Please help me solve this!!!!!

gulaghasi [49]

Answer

Burger meal = $8 and Hot dog meal = $6

Step-by-step explanation:

Let's use "x" to represent burger meals and "y" to represent hot dog meals.

Garcia family:

3x + 4y = $48

Baker family:

6x + 2y = $60

We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".

3x + 4y = $48

6x + 2y = $60

Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":

-2 (3x + 4y = $48) ...our new equation would be....

-6x - 8y = -$96

Now to add our two families' equations together...

-6x - 8y = -$96

6x + 2y = $60

- 6y = -$36

Divide both sides by "-6" to get "y" by itself.

y = $6

We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...

3x + 4(6) = $48

3x + 24 = $48

We want to get our x by itself. First, we can subtract 24 from each side.

3x = $24

Then we will divided both sides by 3 to get x alone.

x = $8

To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:

3(8) + 4(6) = $48

24 + 24 = $48

and...

6(8) + 2(6) = $60

48 + 12 = $60