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Lady bird [3.3K]
3 years ago
5

While hiking, Lisa climbed up a cliff face 277 feet and then walked down 133 feet to a cave entrance. If Lisa started at 126 fee

t above sea level, what is her elevation now?
Mathematics
2 answers:
Mrrafil [7]3 years ago
6 0

the correct answer is 270 feet hope it helps :)))

Illusion [34]3 years ago
5 0

Hello! I would love to help!

Alright! Let's start at the beginning. We know that Lisa was already 126 feet above sea level before the problem even starts. So 126 will be our base number.

Next, Lisa climbed 277 feet, which means we need to add 277 feet to 126.

277+126=403


Alright. Lisa is now 403 feet high. But, she now needs to climb down 133 feet. Let's represent this by subtracting 133 from 403

403-133=270


Okay! Now we know that Lisa is 270 feet. Since she didn't go anywhere else, that's the end of the problem!!!


Therefore, the answer is 270 feet!





Hope this helps! Comment if you have any

questions!
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Please help! .........
stira [4]

Answer:

1) When x is 1, y is 4, and vice versa

2) When x is -6, y is 42, and when x is 7, y is 114

3) When x is -2, y is 2, and when x is 8, y is 42

Step-by-step explanation:

1)

y=x^2-6x+9

y+x=5 which can be rearranged as y=5-x.

Substituting this lone y into the first equation, you get:

5-x=x^2-6x+9

Move everything to one side:

x^2-5x+4=0

Factor:

(x-4)(x-1)=0

x=1, 4

y=4, 1

2)

y-30=12x which can be rearranged as y=12x+30.

y=x^2+11x-12

Let's use elimination this time and subtract the first equation from the second:

0=x^2-x-42

Factor:

(x-7)(x+6)=0

x=-6, 7

y= -42, 114

3)

y=x^2-2x+6

y=4x+10

Let's set the two equations equal to each other through substitution:

x^2-2x-6=4x+10

Move everything to one side:

x^2-6x-16=0

Factor:

(x-8)(x+2)=0

x=-2, 8

y= 2, 42

Hope this helps!

6 0
3 years ago
A taxi driver charges an initial fee of $2.00 plus $0.30 per mile. What is the independent variable quantity in this situation?
Effectus [21]

Answer: The .30 per mile is the independent, because it is manipulated, and changed throughout. DRY MIX : Dependent, Responding, Y axis. Manipulated, Independent, X axis.

5 0
3 years ago
8. Identify which equation is a graph of a vertical line.
Y_Kistochka [10]

Answer:

10x = 10.

Step-by-step explanation:

The equation will contain the  x variable only.

4 0
3 years ago
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Mariana [72]

Answer:

1.y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}

2.y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}

Step-by-step explanation:

A(−3, 0), B(0, 6), and C(4, 6)

using the midpoint formula: (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) we can find all of their midpoint which is necessary to complete question 1 and 2

Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)

Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: \frac{y_2-y_1}{x_2-x_1}.

You would get -6, 6/5, and 6/11.

Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}

For question 2,

The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by -\frac{1}{slope}. For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}

I hope that helped with your question!! :)

Also I'm an RSM student too and I didn't know how to do them before so I searched it up.

6 0
2 years ago
Anil paid a commission equal to 6% of the price of each appliance he sells. If Anil sells a refrigerator for $850 what is Anil's
KengaRu [80]

Answer:

$51

Step-by-step explanation:

7 0
2 years ago
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