The distance formula is: $d =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ . With the distance formula, you have to assign the ordered pairs before substituting them into the formula, which is also used to to find the slope of functions.

$d =\sqrt{(21-25)^{2}+(4-1)^{2}}$

$d =\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$d=5$

Therefore, the distance between the two points is 5 units.

4 0

3 years ago

Leah is 2 less than 3 times Rachel's age. 3 years from now, Leah will be 7 more than twice Rachel's age. How old will Rachel be

Irina-Kira [14]

Answer:

Step-by-step explanation:

Let's call Leah's age l and Rachel's age r. We can write:

l = 3r - 2 (1)

l + 3 = 2(r + 3) + 7 (2)

Substituting (1) into (2) we get:

(3r - 2) + 3 = 2(r + 3) + 7

3r + 1 = 2r + 13

r = 12

In 3 years Rachel will be 12 + 3 = 15 years old.

8 0

3 years ago

What number must you add to complete the square? X^2+10=29

arlik [135]

To find the answer subtract 10 from both sides. x^2 = 19
Take the square root of both sides to get x = the square root of 19

4 0

4 years ago