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3 years ago

Geometry distance formula

Mathematics

1 answer:

viktelen [127]3 years ago

8 0

A(-4, 2) and B(3, -2).

I will do number 2.

Let d(A, B) = distance between the two points.

d(A, B) = sqrt{(3 -(-4))^2 + (-2-2)^2}

d(A, B) = sqrt{(3 + 4))^2 + (-2-2)^2}

d(A, B) = sqrt{(7)^2 + (-4)^2}

d(A, B) = sqrt{49 + 16}

d(A, B) = sqrt{65}

Done!

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The parking lot at a grocery store has 90 cars in it. 90% of the cars are blue. How many cars are blue?

Kipish [7]

Answer:

81 blue cars

Step-by-step explanation:

Total Cars = 90

How much % are blue = 90

=> 90 x 90/100 = How many cars are blue

=> 8100/100 = the number of cars that were blue

=> 81 = cars that were blue.

There 81 blue cars in the parking lot.

3 0

3 years ago

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving th

BaLLatris [955]

For this case, what we must do is find the distance between each ordered pair.
For this, we use the formula of distance between points.
We have then:
$d = \sqrt{(x2-x1)^2+(y2-y1)^2}$

For (0, 0) and (0, 7):
$d1=\sqrt{(0-0)^2+(7-0)^2}$
$d1=\sqrt{(0)^2+(7)^2}$
$d1=\sqrt{0+49}$
$d1=\sqrt{49}$
$d1=7$

For (0, 7) and (5, 7):
$d2=\sqrt{(5-0)^2+(7-7)^2}$
$d2=\sqrt{(5)^2+(0)^2}$
$d2=\sqrt{25+0}$
$d2=\sqrt{25}$
$d2=5$

For (5, 7) and (5, 0):
$d3=\sqrt{(5-5)^2+(7-0)^2}$
$d3=\sqrt{(0)^2+(7)^2}$
$d3=\sqrt{0+49}$
$d3=\sqrt{49}$
$d3=7$

before returning home the total distance is:
$d1 + d2 + d3 = 7 + 5 + 7

d1 + d2 + d3 = 19$

Answer:
before returning home Tommy walks about 19 blocks

5 0

3 years ago

6. Sofia has 42 candy apples. She has 6 times as many candy apples as Cataleya. How many candy apples does Cataleya have?

Schach [20]

She has 7 apples 42 divided 6 is 7

7 0

1 year ago

Read 2 more answers

What is the greatest common factor of 39 and 6

yanalaym [24]

Answer:

the greatest common factor is 3

5 0

3 years ago

Read 2 more answers

The number of miles driven by a truck driver falls between 300 and 700, and follows a uniform distribution.

Elena-2011 [213]

Answer:

(A) 0.125 probability

(B) 0.625 probability

Step-by-step explanation:

The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.

(A) The probability that the truck driver goes more than 650 miles a day is:

[700 - 650] / [700 - 300] = 50/400 = 0.125

(B) The probability that the truck driver goes between 400 and 650 miles a day is:

[650 - 400] / [700 - 300] = 250/400 = 0.625

10% of 400 = 40

Subtract this from the farthest distance;

700miles - 40miles = 660miles

7 0

2 years ago