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Naily [24]
4 years ago
15

A mountain climber starts in a cave, then climbs up the mountain. After 1 hour, he is 6 m under ground. After 4 hours, he is 6 m

above ground.
Which of the following equations models the elevation of the climber y over time, x?
Mathematics
1 answer:
Nookie1986 [14]4 years ago
3 0

Answer:

In Point Slope Form: y+6=4(x-1)

Step-by-step explanation:

<u>First you have to find the points given which are:</u>

  • (1, -6) and (4, 6)

<u>Label the points x1, y1, x2, and y2</u>

  • It already gives you the slope which is 4.

<u>Plot the points in the equation of Point Slope Form:</u>

<em><u>y1-y2=m(x-x1)</u></em>

  • y1-6=4(x-1)

<u>Simplify: y1-6=4x-4</u>

  • y=4x+2

<u>It doesn't ask you to simplify but why not!  </u>

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What is the product
cricket20 [7]

Answer:

\left[\begin{array}{cc}6&18\\\end{array}\right]

Step-by-step explanation:

To find the product of the matrices: \left[\begin{array}{cc}4&2\\\end{array}\right] × \left[\begin{array}{cc}-2&5\\7&-1\\\end{array}\right]

Multiply rows of the first matrix by the columns of the second matrix.

(4 × (–2) + 2 × 7          4 × 5 + 2 × (–1))

After simplifying this, we get the product \left[\begin{array}{cc}6&18\\\end{array}\right]

Hence, \left[\begin{array}{cc}4&2\\\end{array}\right] × \left[\begin{array}{cc}-2&5\\7&-1\\\end{array}\right] = \left[\begin{array}{cc}6&18\\\end{array}\right]

6 0
3 years ago
Given the following graph what is the slope?
balandron [24]

Answer:

slope = \frac{1}{4}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = \frac{2-1}{0-(-4)} = \frac{1}{0+4} = \frac{1}{4}

3 0
3 years ago
A circle is the collection of points in a plane that are the same distance from a given point in the plane.
RoseWind [281]

Answer:

True - The above statement is true

A circle is the collection of points in a plane that are the same distance from a given point in the plane.

Step-by-step explanation:

  • <em><u>A circle is the set of points in a plane that are a given distance from a given point in the plane. The given point is the center of the circle, and the given distance is the radius.</u></em>
  • In other words; A circle is the set of points in a plane that are equidistant from a given center point.  Therefore; the locus of points at a fixed distance, d, from the point, P is a circle with the given point P as its center and d as its radius.
6 0
4 years ago
Problems 7-15 Simplify each expression. 20 points
Nitella [24]

Answer:

7. k^4

8. m^6

9. 18x^4

10. 35u^8v^4

11. 6561

12. x^6 y^24

13. 16a^6 b^11 c^2

14. -8f^5 g^6 h^5

15. 81p^9 t^10

Step-by-step explanation:


7 0
3 years ago
10x+2=9x3<br> what is the answer
yKpoI14uk [10]

Answer:

8.5

Step-by-step explanation:

10x+2=9x(3)

10x+2=27x

2=17x

x=8.5

6 0
3 years ago
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