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xxMikexx [17]
2 years ago
5

Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the bas

e of the tower. What is the length of the slide
Mathematics
1 answer:
erastova [34]2 years ago
4 0

Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

(Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters

Hence,

The length of slide is 18.36 meters

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Plugin 1/5y - 2 for the y.
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3 years ago
Graph each line. Give the slope-intercept form for all standard form equations.
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Answer:

Slope Intercept Form is y=2x.

Step-by-step explanation:

Since slope-intercept form is y=mx+b, you need to rewrite 2x-y=0 in Slope-Intercept Form.

First, you want to subtract 2x from both sides. That comes out to -y = (-2x.)

Then, multiply each term by -1. A negative times another negative is a possitive, so -y would become y, and -2x would become 2x, giving you the answer of y=2x.

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2 years ago
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sertanlavr [38]
<h2>Answers:</h2>

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  1. Answer : x =  \frac{-3}{2}⁻y + 16

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  1. Answer : y = \frac{-2}{3}x + \frac{32}{3}
<h3></h3>
  • Solving for x on question - 5x - 4y = -81 |
  1. Answer : x =  \frac{4}{5}y + \frac{-81}{5}

  • Solving for y on question - 5x - 4y = -81 |
  1. Answer : y =  \frac{-5}{4}x + \frac{81}{4}
<h2>Step-by-step explanation:</h2>

<em>(Solving for x on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

\frac{2x}{2}  = \frac{-3y+32}{2}

<u>x =  </u>\frac{-3}{2}<u>⁻y + 16</u><u>                                                                                                                 </u>

<em>(Solving for y on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

\frac{3y}{3} =  \frac{-2x+32}{3}

<u>y = </u>\frac{-2}{3}<u>x + </u>\frac{32}{3}<u>                                                                                                           </u>

<em>(Solving for x on question - 5x - 4y = -81)</em>

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

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Step 2: Divide both sides by 5.

\frac{5x}{5} =  \frac{4y-81}{5}

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<em>(Solving for y on question - 5x - 4y = -81 )</em>

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5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

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Answer:

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Step-by-step explanation:

Forming Algebraic expressions and solving them to find the age.

Ratio of age of mother and daughter = 5 : 3

Age of mother = 5x

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It is given that mother's age is 50 years.

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Divide both sides by 5.

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Daughter's age = 3x

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2 years ago
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ololo11 [35]
Last one is correct
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8 0
3 years ago
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