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3 years ago

What is the distance between the two points (6, -2) and (4,6)?

2 answers:

6 0

The distance is 8.246 units.
That is because if we make a right triangle with these points and use the pythagorean theorem, we will get the diagonal's length.

AlexFokin [52]3 years ago

3 0

Use the distance formula;

d = √(x₂ - x₁)² + (y₂ - y₁)² (6, -2), (4, 6)

d = √(4 - 6)² + (6 - (-2)²

d = √(-2)² + (8)²

d = √4 + 64

d = √68 or 2√17 or 8.25

hope this helps, God bless!

You might be interested in

A flagpole stands perpendicular to the ground. It is supported by a 20-foot cable that runs from the top of the flagpole to the

3241004551 [841]

Answer:

h = 16 feet

Step-by-step explanation:

Pythagoras´ theorem establishes, that in a right triangle square of the hypothenuse (c²) is the sum of leg ( b²) plus leg (a²)

Then

c² = a² + b²

where according to the problem statement

(20)² = h² + (12)² ( h is the height of the flagpole )

h² = 400 - 144

h² = 256

h = √ 256

h = 16 feet

7 0

3 years ago

Show that the difference between any two consecutive square numbers is an odd number

borishaifa [10]

Step-by-step explanation:

(x+1)squared-squared=2x+1 is always odd because sum of even number and odd number is always odd

5 0

2 years ago

THIS IS DUE IN 5 MINUTES!!!!!!!!!!! I NEEED THIS ASAP! A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of

prisoha [69]

I HOPE THIS HELPSSSSSS

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6 0

2 years ago

Read 2 more answers

What is the ordinate of the point where the graph of the<br> equation y = 5x + 2 crosses the y-axis?

eimsori [14]

Answer:

(0,2)

Step-by-step explanation:

in any y = mx + b formula, b is always the y intercept, and the y intercept is just a fancy name for where the line first crosses the y axis. hope this helps!

8 0

3 years ago

POSSIBLE POINTS: 2

serious [3.7K]

Answer: max capacity is 1625 gallons.

Diagram is shown below.

=========================================================

Explanation:

We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.

For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.

The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.

Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.

To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"

Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.

Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.

Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.

-----------------------

Here's a way to find the answer without a double number line. This method involves setting up a proportion.

(40% full)/(650 gallons) = (100% full)/(x gallons)

40/650 = 100/x

40x = 650*100

40x = 65000

x = 65000/40

x = 1625

We confirm that the tank's max capacity is 1625 gallons.

4 0

3 years ago