Pls work out and give detail. Use the slope formula to determine the slope of each line.
4. AB
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41
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B
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— 4 — 2
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-4 +

Answer:

The Olympic sized swimming pool hold 660501.9 gallons of water.

Step-by-step explanation:

Given that:

Water hold by an Olympic sized swimming pool = 2500000 liters

We know that;

1 gallon = 3.785 liters

Therefore,

We will divide the total number of water in liters by 3.785 to find the number of gallons.

Gallons of water in pool = [tex]\frac{2500000}{3.785}[/tex]

Gallons of water in pool = [tex]660501.9[/tex] gallons

Hence,

The Olympic sized swimming pool hold 660501.9 gallons of water.

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Explanation:

In this case, a triangle is possible since adding any two sides leads to a sum larger than the third side

I'm using the triangle inequality theorem here.

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

To determine what kind of triangle we have, we'll use the converse of the Pythagorean theorem. Specifically, we'll use a corollary of it.

Consider a triangle with sides a,b,c. Let c be the longest side.

We have three possible cases:

For this problem, we have a = 20, b = 23, c = 41.

We see that a^2+b^2 = 20^2+23^2 = 929 and c^2 = 41^2 = 1681.

In short, a^2+b^2 = 929 and c^2 = 1681.

Since 929 < 1681, this means a^2+b^2 < c^2.

Therefore, this triangle is obtuse.

Answer:

Esther has 200, Richard has 40

Esther gives Richard 50 cards. Now they have

Esther: 150, Richard: 90

Richard gives Esther 15, so they now have

Esther: 165, Richard 75

Step-by-step explanation:

Answer:

Esther had 200 cards at first

Step-by-step explanation:

Variables:

  Esther:  5r

  Richard:  r

Equalities:

  e = 5r

  e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90

Solve:

  Replace e with 5r and solve for r:

        e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90

     5r - 5r/4 + 1/6 (r + 5r/4) = 5/6 (r + 5r/4) + 90

        5r - 5r/4 + 1/6 (2.25r) = 5/6 (2.25r) + 90

            5r - 1.25r + 0.375r = 1.875r + 90

            5r - 1.25r + 0.375r - 1.875r = 90

                                             2.25r = 90

                                                     r = 40

  Esther:  5r = 5(40) = 200

  Richard:  r = 40

Answer:

two green balls

Step-by-step explanation:

because of many reasons boy

Answer:

a. 1/16   b. 25/144

Step-by-step explanation:

Since the bag does not change each time, the probability stays the same. To get the desired outcome both times, we must square the probability.

This question is awfully vague without any images of the equation to back it up, sorry

Answer:

B, He is -40 due to it asking which number is his point. If he was positive 40 then he would be on an island or flying in the sky. Your answer is -40

Answer:

[tex]\boxed {\boxed {\sf b=8}}[/tex]

Step-by-step explanation:

The Pythagorean Theorem is:

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

In this triangle, 6 and b are the legs, because they form the right angle.

10 is the hypotenuse, because it is opposite the right angle. Plus, it's the longest side.

[tex]a=6 \\b=b\\c=10[/tex]

Substitute the values into the Theorem.

[tex]6^2+b^2=10^2[/tex]

Evaluate the exponents.

[tex]36+b^2=10^2[/tex]

[tex]36+b^2=100[/tex]

Subtract 36 from both sides of the equation to isolate the variable (b).

[tex]36-36+b^2=100-36[/tex]

[tex]b^2=100-36[/tex]

[tex]b^2=64[/tex]

b is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{b^2}=\sqrt{64[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=8[/tex]

In this triangle, b (the other leg) is equal to 8

Answer:

17

8/17

Step-by-step explanation:

x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]

sin∠D = [tex]\frac{8}{17}[/tex]

Option B - The worker earns $8 per hour is the correct alternative.

We have a graph that shows the relationship between the number of dollars a worker earns and the number of hours worked.

We have to select the statement which best describes the rate of change for this situation.

The slope of a line can be calculated using -

[tex]$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

According to the question, we have two coordinate points marked on the graph -

P(20, 60)

Q(40, 320)

Using the formula to calculate the slope of a line, we get -

[tex]$m = \frac{320-160 }{40 -20 }[/tex]

m = 8

We know that the slope of the line represents the rate of change of y with respect to x. Therefore, the worker earns $8 per hour.

Hence, Option B is correct.

To solve more questions on Rate of change, visit the link below-

https://brainly.com/question/13057847

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Answer:

19

Step-by-step explanation:

Answer:I think it’s option 2, light blue

Step-by-step explanation:

Answer:

Psychology textbooks = 98 and physics textbooks = 294

Step-by-step explanation:

Let there are x psychology textbooks sold.

No of physics textbooks sold = 3x

ATQ,

A textbook store sold a combined total of 392 physics and psychology textbooks in a week.

x + 3x = 392

4x = 392

x = 98

It means there are 98 psychology textbooks sold and 3x = 3(98) = 294 physics textbooks sold.

Answer:

He loves you too!!

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

x+6=-x-6

(-6)+6=(6)-6

0=0

Answer:

Solve the equation. You may find using algebra tiles helpful in solving this problem.  X +6=-X-6               X= -6

Answer:

-5

Step-by-step explanation:

5-(-5)/3-5=10/-2=-5

(can I get brainliest please)

Answer:

14

Step-by-step explanation:

3 1/2= 3.5

so...

3.5*4=14

Answer:

14

Step-by-step explanation:

7 / 2 × 4

7 × 2

14

hope it helps!

Answer:

The answer would be B :)

Step-by-step explanation:

Answer: the next term is -1

Answer:

Angle 1 is obtuse, and adjacent. Angle 2 is obtuse, and is also adjacent.

Step-by-step explanation:

Both seem to be obtuse since they're not right triangles, and they're both adjacent because they have two angles that share the same vertex. Hope this helped :)

P .= 2L + 2W at W= 10, P= 44

44 = 2L + 2 (10)

44 = 2L + 20

44-20 = 2L

24 = 2L

L= 24/2

L= 12cm

Answer;

7.77

Step-by-step explanation:

Answer:

1/4+2/3=11/12

3/4+2/3=17/12

Step-by-step explanation:

Answer:

k = 5x - 42

Step-by-step explanation:

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

Explanation:

The portion from x = 0 to x = 5 has area 0.625, so 62.5% of the total area is accounted for. The remaining 100% - 62.5% = 37.5% of the total area must be in the remaining portion from x = 5 to x = 8. Convert 37.5% to decimal form to get the answer 0.375

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Another approach

We have two disjoint areas under a curve. The two areas must add to 1. Let A be the unknown area

So,

0.625+A = 1

A = 1-0.625

A = 0.375

The area under the curve from x = 5 to x = 8 is 0.375

The question is vague, but I'll try and help.

Answer:

She saves $100.59 a year.

Step-by-step explanation:

Saving 7% of $1,437.00 each year.

7% of $1,437.00 (0.07 x $1,437.00) = $100.59

If it asks how much she saves over a certain number of years, just multiply 100.59 times how many years it asks for. Hope this helps.

The required, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they invested.

Here,
If Maria spends $1,437.00 on her auto insurance annually and she takes the defensive driving course, she will get a 7% discount on her liability insurance, PIP, comprehensive insurance, and collision insurance for three years.

To calculate the amount of the discount, we first need to find 7% of $1,437.00:

Discount = 0.07 × $1,437.00 = $100.59

So, the amount of the discount that Maria will receive annually is $100.59.

To find the total savings over three years, we multiply the annual discount by three:

Total savings = $100.59 × 3 = $301.77

Therefore, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

Learn more about investments here:

https://brainly.com/question/15353704
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Answer:

Uhhhh what?

Step-by-step explanation:

I am confused...