All categories

3 years ago

What is the distance between point A and point B? Round to nearest tenth.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

7 0

Answer:

$d \approx 12.6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(8+4)^2+(6-2)^2}$
Add/Subtract: $d = \sqrt{(12)^2+(4)^2}$
Exponents: $d = \sqrt{144+16}$
Add: $d = \sqrt{160}$
Simplify: $d = 4\sqrt{10}$
Evaluate: $d = 12.6491$
Round: $d \approx 12.6$

You might be interested in

How many solutions are there to the system of equations?

hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

$\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.$

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

$4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1$

You can identify that:

$m=0.8\\b=-1$

Apply the same procedure with the second equation. Then:

$-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1$

You can identify that:

$m=0.8\\b=1$

The slopes of both lines are equal, therefore the lines are parallel and the system has NO SOLUTION.

7 0

4 years ago

Read 2 more answers

When x^3+kx^2-4x+2 is divided by x+2 the remainder is 26 find k?

Llana [10]

Answer:

k = 6

Step-by-step explanation:

Using synthetic division, we find the remainder from the division to be ...

remainder = 4k+2

Then we need to find k such that ...

4k +2 = 26

4k = 24 . . . . subtract 2

k = 6 . . . . . . divide by 4

The value of k is 6.

4 0

3 years ago

HELP ME PLS ITS BEEN AN HOUR LUV U GUYS <33

Setler [38]

Answer:

19.6 cubic centimeters

Step-by-step explanation:

The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.

Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is $(2/3)^3=8/27$ .