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Bezzdna [24]
3 years ago
13

Whats the distance between (-8,-7) (8,-4)

Mathematics
1 answer:
balandron [24]3 years ago
8 0
To find the distance between points, use the distance formula.

Distance formula: \sqrt{ (x_{2} -  x_{1})^{2} + ( y_{2} -  y_{1})^{2} }

Plug in your values for x_{2},  x_{1},  y_{2},  y_{1} using (-8, -7) and (8, -4) and solve.

\sqrt{(8 - (-8))^{2}+(-4 - (-7))^{2}}
\sqrt{(8+8)^{2}+(-4+7)^{2}}
\sqrt{(16)^{2}+(3)^{2}}
\sqrt{256+9}
\sqrt{265} ≈ 16.28

Answer:
Approximately 16.28 units.
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Answer:

1

Step-by-step explanation:

if you add 1 to x it will be y

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A company that manufactures guitars has a fixed cost of $100,000. It costs $100 to produce each guitar and the selling price is
miv72 [106K]

a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars

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

b. Write the revenue function:: R(x) = 300x where x is number of guitars

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

c. Find the profit function.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = [ R(x) ] - [ C(x) ]

P(x) = [ 300x ] - [ 100x+100,000 ]

P(x) = 300x - 100x-100,000

P(x) = 200x - 100,000

The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.

Solve 125x - 100,000 = 0

125x = 100,000

x = 800 (# of guitars made and sold)

7 0
3 years ago
Find the mode of the following set of data:<br> 5, 8, 2, 5, 2,5<br> A 5<br> B) 2<br> C 2 and 5
Mandarinka [93]

Answer:

A  5   is the mode of the data

3 0
3 years ago
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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
What is the distance between the coordinates (8,-5) and (8,13).
Darina [25.2K]

Answer:

18

Step-by-step explanation:

use the distance forumla to detwemine the distance between the points.

7 0
2 years ago
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