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WARRIOR [948]
3 years ago
11

Juan construyó una rampa que tiene 5 m de largo y 1 m de altura. ?Cuánto mide la distancia (d) que recorre al subir la rampa

Mathematics
1 answer:
satela [25.4K]3 years ago
7 0

Answer:

d=\sqrt{26}\ m  or  d=5.1\ m

Step-by-step explanation:

<em>The question in English is</em>

Juan built a ramp that is 5 m long and 1 m high. How much is the distance (d) he travels when he climbs the ramp?

let

x -----> the length of the ramp

y ----> the height of the ramp

d ----> the distance Juan travels when he climbs the ramp

we know that

Applying the Pythagoras Theorem

d^{2}=x^{2}+y^{2}

we have

x=5\ m

y=1\ m

substitute the given values

d^{2}=5^{2}+1^{2}

d^{2}=26

d=\sqrt{26}\ m -----> exact value

d=5.1\ m ----> approximate value

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Answer:

y = 3x + 1

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

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To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.

1 = 3(0) + b

To find b, multiply the slope and the input of x (0)

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Hope this helps!

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3 years ago
Write the equation of the line shown in point-slope form. (2,1) (3,8)
Ulleksa [173]

<u>Answer:</u>

The line equation that passes through the given points is 7x – y = 13

<u>Explanation:</u>

Given:

Two points are A(2, 1) and B(3, 8).

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Solution:

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Now substitute the values in (1)

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Hence, the line equation that passes through the given points is 7x – y = 13

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