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2 years ago

Find the distance between the points (-8, -2) and (6,-1). Round your answer to the nearest hundredth.

Mathematics

1 answer:

vitfil [10]2 years ago

7 0

Answer:

distance is 14.04

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.

we use Pythagoras

c² = a² + b²

c = the Hypotenuse (the side of the triangle opposite to the 90 degree angle).

the x difference

-8 - 6 = -14

the y difference

-2 - -1 = -1

c² = -14² + -1² = 196 + 1 = 197

c = sqrt(197) = 14.04

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Four square pieces of corkboard are lined up to make a rectangle. The area of the entire corkboard is

Pavel [41]

9514 1404 393

Answer:

a) attached

b) 100 square inches, 1/4 of the total

c) square root of area

d) multiply by 4

Step-by-step explanation:

a) A diagram is attached

b) If the total area consists of 4 squares of the same size, then the area of one square will be 1/4 of the total area. 1/4 of 400 square inches is 100 square inches, the area of one square.

c) The area of a square is the square of the side length. You find the side length by finding the square root of the area. √(100 in²) = 10 in, the side length of each square.

d) The rectangle is 4 squares laid side by side, so its length is 4 times the side length of one square: 4×10 in = 40 in.

4 0

3 years ago

Hello. Have a great day. btw i suck.

mixas84 [53]

Thank you sm! Happy December 1st! Mark b please?

3 0

3 years ago

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Rick knows that 1 cup of glue weighs 1/18 pound. He has 2/3 pound of glue. How many cups of glue does he have?

Basile [38]

$\begin{array}{ccc}1\ cup&-&\frac{1}{18}\ lb\ (pound)\\\\x\ cup&-&\frac{2}{3}\ lb\ (pounds)\end{array}\ \ \ \ \ \ cross\ multiply\\\\\\\frac{1}{18}x=1\times\frac{2}{3}\\\\\frac{1}{18}x=\frac{2}{3}\ \ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\18\times\frac{1}{18}x=18\times\frac{2}{3}\\\\x=6\times2\\\\\boxed{x=12}\\\\Answer:He\ has\ 12\ cups\ of\ glue.$

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3 years ago

A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?

Flura [38]

Answer:

Step-by-step explanation:

There are 1000 mm in one meter

and there are 10 mm in one cm

1000 + 20(10) = 1200mm

Therefore the answer is 1200mm

8 0

2 years ago

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Simplify this expression: 4(x+3)+3(5-x)

prisoha [69]

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Hope you find this Useful!

8 0

2 years ago

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