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3 years ago

8

James throw a ball from the root of a building. The ball fell 3 feet in the first second, 9 feet in the next second, and 27 feet

in the third second. Which expression represents the distance the ball fell at the nth second?

1 answer:

Olegator [25]3 years ago

7 0

D=1/2.g.t^2,

where D=distance the object has fallen, g=9.81m/sec^2(being the pull of gravity), t=time elapsed in seconds.

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What is the slope intercept of (2001,17.60) and (2002,18.75)

Sedaia [141]

Do you mean the slope of the line or the y-intercept
(2002-2001)/(18.75-17.60)= 0.869 =slope
y=mx + b -> 2001= 0.869 (17.60) +b -> b= 1985.7= y-intercept

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4 years ago

Write the equation for the line. <br><br>

Vadim26 [7]

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3 years ago

On an airplane there are two seats on the left side in each row and three seats on the right side there are 90 seats on the righ

Anuta_ua [19.1K]

<em><u>The correct answer is 60 seats on the left side</u></em>, but you might also want to know how I got that answer . . .

Let's say, n = number of rows

Since we know the airplane has an equal number of rows on the right side as it does on the left side, then we can mathematically show that:

number of sears on the right side = 3n = 90 seats
number of sears on the left side = 2n = ? seats

3n = 90

n = number of rows = 90/3 = 30 rows

Thus:

2n = 2(30) = <u><em>60 seats on the left side</em></u>

<em>as for how many seats all together, just add . . 90 + 60 = 150 seats total</em>

3 0

3 years ago

CAN SOMEONE HELP ME ASAP I WILL GIVE BRAINILY, and show how you got the answer, please!!!!!! I really need help.

bija089 [108]

Answer:

<em>Assuming you want this rounded to the hundredths.</em>

6. x = 24.86

7. x = 4

8. x = 24.86

9. x = 12

10. x = 4

11. x = 20.57

Step-by-step explanation:

6. Because these angles are supplementary, they add up to 180 degrees. Using this, we can solve for x.

Step 1: Build your equation

3x + 5 + 4x + 1 = 180

Step 2: Combine like terms

7x + 6 = 180

Step 3: Subtract 6 from both sides of the equation.

7x = 174

Step 4: Divide the coefficient of x out.

x ≅ 24.68

7. Vertical Angles Theorem states that vertical angles are congruent. Now we can solve from there!

<em>(Note: There are two ways to solve this, but I picked the easier way)</em>

Step 1: Build your equation

3x + 5 = 4x + 1

Step 2: Collecting like terms on one side 1: Subtract 3x from both sides

5 = x + 1

Would you look at that! No coefficient on x. However, we need a sequel to fix the right side.

<em>(If you are wondering why there is no coefficient on x, the actual coefficient is 1. However, it is much cleaner to just ignore that.)</em>

Step 3: Collecting like terms on one side 2: Subtract 1 from both sides.

4 = x

Because equations don't care about silly human things like which terms are on which side, you can also arrange it like this:

x = 4

8. A linear pair of angles are adjacent angles formed by two intersecting lines. The measure of a linear pair of angles is 180 degrees. See #6 for details on how to solve this.

9. Complementary angles add up to 90 degrees. Similar to supplementary angles, this can be solved but setting the sum to 90 degrees.

Step 1: Build your equation.

3x + 5 + 4x + 1 = 90

Step 2: Combine like terms.

7x + 6 = 90

Step 3: Subtract 6 from both sides of the equation.

7x = 84

Step 4: Divide the coefficient of x from both sides.

x = 12

10. Because they are congruent, you can set the angles equal to eachother. Please view #7 for how to solve this.

11. Similiar to #6 and #9, we can set the sum to 150 degrees and solve from there.

Step 1: Build your equation.

3x + 5 + 4x + 1 = 150

Step 2: Combine like terms.

7x + 6 = 150

Step 3: Subtract 6 from both sides of the equation.

7x = 144

Step 4: Divide the coefficient of x from both sides.

x ≅ 20.57

There you have it! Wow, I haven't done algebra like that since 2019!

Hope I helped!

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