All categories

3 years ago

Find the distance between the points (10, -4) and (1, 8).

Mathematics

1 answer:

Ivanshal [37]3 years ago

6 0

Answer:

Step-by-step explanation:

Use the distance formula

d = distance

$d=\sqrt{(10-1)^2 + (-4 - (8))^2\\$

Solve the equation to get the following:

$d=\sqrt{9^2 + (-12)^2}$

$d = \sqrt{81+144$

$d=\sqrt{225$

$d = \sqrt{15$

You might be interested in

What is the slope of a line perpendicular to the line passing through E(-1,6) and F(-2,-10)?

STatiana [176]

Answer:

Step-by-step explanation:

E(-1,6) & F(-2,-10)

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\ \ \ \ = \frac{-10-6}{-2-[-1]}\\$

$=\frac{-10-6}{-2+1}\\\\=\frac{-16}{-1}\\\\= 16$

Slope of the line perpendicular to this line = -1/m = -1/16

7 0

2 years ago

A right rectangular prism is 4 inches long and 3 inches wide and 6 inches tall what are the area and perimeter of a cross sectio

zzz [600]

The area of a cross section paralell to the base is the base
the base is 4inches by 3 inches
area is 12 square inches
perimiter is 2(L+W)=2(4+3)=2(7)=14 inches

area is 12 square inches
perimiter is 14 inches

6 0

2 years ago

Read 2 more answers

3x - y = 2 y = 2x -9 what is x and y using substitution

xxTIMURxx [149]

3x - y = 2

y = 2x - 9

Substitute:

3x - 2x - 9 = 2

x - 9 = 2

x = 11

Substitute your answer into any equation:

y = 2x - 9

y = 2(11) - 9

y = 22 - 9

y = 13

Answer:

x = 11 ; y = 13

8 0

3 years ago

Read 2 more answers

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 52.

Pavlova-9 [17]

Answer:

0.15 or 15%

Step-by-step explanation:

Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:

$P(x_1\leq x \leq x_2)=\frac{x_2-x_1}{b-a}$

In this case, a = 47.0 and b = 52.0 minutes.

The probability that a given class period runs between 50.25 and 51.0 minutes is:

$P(50.25\leq x \leq 51.0)=\frac{51.0-50.25}{52-47} \\P(50.25\leq x \leq 51.0)=0.15=15\%$

The probability is 0.15 or 15%.

7 0

3 years ago

3/4x+5=11<br>what's the value of x?

aniked [119]

here is your answer my friend.

$\frac{3x}{4} + 5 = 11$

$\frac{3x + 20}{4} = 11$

$3x + 20 = 44$

$3x = 44 - 20$

$3x = 24$

$x = \frac{24}{3}$

$x = 8$

4 0

3 years ago