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3 years ago

The one mile race is equal to how many feet

Mathematics

1 answer:

julsineya [31]3 years ago

4 0

Your answer to this question

✿ 1 Mile = 5280 feet ✿

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Superman needs to save Lois from the clutches of Lex Luther. After flying for 15 seconds, he is 2100 meters from her. Then at 18

posledela

Part A

x = time in seconds that have gone by

y = distance in meters Superman is away from Lois

"After flying for 15 seconds, he is 2100 meters from her" means we have the point (x,y) = (15, 2100)

"at 18 seconds he is 1980 meters from her" tells us we have a second point (x,y) = (18,1980)

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Find the slope of the line through these two points

m = (y2-y1)/(x2-x1)

m = (1980-2100)/(18-15)

m = (-120)/(3)

m = -40

The slope is -40 which means Superman is getting 40 meters closer each second. I.e, the distance is dropping 40 meters per second

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Use one of the points and the slope to find the y intercept b

y = mx+b

2100 = (-40)*15 + b

2100 = -600 + b

2100+600 = b

b = 2700

This is the starting distance Superman is away from Lois

--------

Since m = -40 and b = 2700, we know the y = mx+b equation becomes y = -40x+2700.

Replace x with s, replace y with m. We now have m = -40s+2700

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<h3>Final Answer: m = -40s+2700</h3>

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

Part B

Plug s = 6 into the equation we found for part A. Then simplify.

m = -40s+2700

m = -40*6+2700

m = -240+2700

m = 2460

---------

<h3>Final Answer: 2460 meters</h3>

7 0

3 years ago

Simplify the following expression.

Katyanochek1 [597]

Where is the expression?

3 0

3 years ago

(NEED IT FAST) Clarke makes 27 party favors in 4 hours. Carolynn makes 35 party favors in five hours. Who is faster? What is the

ss7ja [257]

Answer: Carolynn is faster.

Step-by-step explanation: Clarke makes 6.75 favors/hour, while Carolynn makes 7 favors/hour. (7 > 6.75)

7 0

3 years ago

A tower casts a 30-foot shadow. At the same time, a person who is 6 feet 6 inches tall casts a 4-foot shadow. How tall is the to

patriot [66]

5 feet 5 inches? I think

5 0

3 years ago

Use the Pythagorean Theorem to find an approximate value of x

kozerog [31]

Answer:

Step-by-step explanation:

Hypotenuse² =base² + altitude²

(3x + 4)² = (2x + 1)² + (3x)²

{Use (a+b)² = a² + 2ab + b²}

(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²

9x² + 24x + 16 = 4x² + 4x + 1 + 9x²

9x² + 24x + 16 = 13x² + 4x + 1

0 = 13x² + 4x + 1 - 9x² - 24x - 16

13x² - 9x² + 4x - 24x +1 - 16 = 0

4x² - 20x - 15 = 0

a = 4 ; b =-20 ; c = -15

D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640

√D = √640 = 25.30

$x=\dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\\\x=\dfrac{20+25.30}{2*4} \ ; \ x=\dfrac{20-25.30}{2*4}\\\\\\x=\dfrac{45.30}{8} \ ; \ x =\dfrac{-5.30}{8}\\\\$

x = 5 .66 ; x = -0.66

Ignore x = -0.66 as length of a side cannot be negative

Answer : x = 5.66

7 0

2 years ago