4. A mountain climber needs to descend 2,000 feet.

Mathematics

1 answer:

DENIUS [597]2 years ago

8 0

Answer:

C. 500 ft

Step-by-step explanation:

If we want to make it all equal, we can divide the 2,000 ft by 4 because we have 4 equal descents.

2000 ÷ 4 = 500

He should travel <u>500 feet</u> in each descent.

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The following system has one solution: x = 2, y = −2, and z = 3. 4x − 2y + 5z = 27 Equation 1 x + y = 0 Equation 2 −x − 3y + 2z

I am Lyosha [343]

Answer:

x = t

y = -t

z = (17-6t)/5

Step-by-step explanation:

First we will write down Equation 1 and Equation 2

4x-2y+5z = 17------(1)

x + y = 0--------(2)

Since we are asked to express our answer in terms of the parameter t so lets suppose x = t and y = -t

Now substitute the value of x and y in equation (1) we get

4(t) -2(-t) +5z = 17

6t + 5z = 17

5z = 17 -6t

z = (17-6t)/5

hence we get the following answer

x = t

y = -t

z= (17-6t)/5

we can also verify our answer by substituting the values of x ,y and z in any of the two equations above, for example lets substitute these values in equation 1

4(t) -2(-t) + 5((17-6t)/5)) = 17

6t + 17 -6t = 17

6t -6t = 17 -17

0 = 0

6 0

3 years ago

A scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefl

svlad2 [7]

Answer:

7.65 meters.

Step-by-step explanation:

Let x represent the distance that diver will travel.

We have been given that a scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefly at a reef that has an elevation of -4.55 meters. We are asked to find the distance that diver will travel.

The initial elevation plus x will be equal to -4.55 meters. We can represent our given information in an equation as:

$-12.2+x=-4.55$