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stepan [7]
2 years ago
6

8.

Mathematics
1 answer:
Tatiana [17]2 years ago
4 0

Answer:

Find the slope of the line that passes through the pair of points. (–5.5, 6.1), (–2.5, 3.1)

Use the slope formula to find the slope  m .

m =  − 1

Step-by-step explanation:

The slope is  

m

=

−

1

Explanation:

The slope can be found by using the formula:  

m

=

y

2

−

y

1

x

2

−

x

1

Where  

m

is the slope and (

x

1

,

y

1

) and (

x

2

,

y

2

) are the two points on the line.

Substituting the values from the points in the problem gives:

m

=

3.1

−

6.1

−

2.5

−

−

5.5

=  3.1  −  6.1  −  2.5  +  5.5 =  − 3/ 3 =  − 1

...............................................................................................................................................

,(6.1-3.1)/(-5.5-2.5) = 3/-8 = -3/8=-.375

...............................................................................................................................................

ANSWER

The slope is

EXPLANATION

The slope of the line that passes through,

can be found using the formula,

So we let,

and

We substitute them into the formula to get,

This gives us,

We simplify to get,

slope = -1

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spin [16.1K]

Answer:

31.2 lbs

Step-by-step explanation:

Let 2x = weight of oranges

5x = weight of apples

6x = weight of pears

2x + 5x + 6x = total weight

2x = 4.8

x = 2.4

4.8 + 5(2.4) + 6(2.4) = 4.8 + 12 + 14.4

= 31.2 lbs

7 0
3 years ago
A central angle helps us with?
enot [183]

Answer:

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Step-by-step explanation:

3 0
3 years ago
HELP WITH THESE QUESTIONS PART 2.
polet [3.4K]

Answer: (a) IV (b) positive (c) \frac{\pi}{4} (d) C (e) \sqrt{2}

<u>Step-by-step explanation:</u>

a) \frac{15\pi}{4} - \frac{8\pi}{4} = \frac{7\pi}{4}, which is located in Quadrant IV <em>per the Unit Circle.  </em>

b) sec is \frac{1}{cos}. Cos is the x-coordinate.  The x-coordinate inQuadrant IV is positive.

c) the reference angle is the angle from \frac{7\pi}{4} to 2π = \frac{\pi}{4}

d) since the angle is below the x-axis and the reference angle is\frac{\pi}{4}, then the angle is equal to -sec(\frac{\pi}{4})

e) sec = \frac{1}{cos}   ⇒   sec \frac{7\pi}{4} = \frac{2}{\sqrt{2} } = \frac{2}{\sqrt{2} }(\frac{\sqrt{2}} {\sqrt{2}}) = \frac{2\sqrt{2} }{2} = \sqrt{2}

**********************************************************

Answer: (a) \frac{3\pi}{2} (b) (0, -1) (c) A (d) -1

<u>Step-by-step explanation:</u>

a) \frac{11\pi}{2} - \frac{4\pi}{2} = \frac{7\pi}{2} - \frac{11\pi}{2} = \frac{3\pi}{2}

b) \frac{3\pi}{2} is on the Unit Circle at (0, -1)

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d) sin is the y-coordinate. sin (\frac{3\pi}{2}) = -1

6 0
3 years ago
3. The regression equation y = –0.414x + 106.55 approximates the percent of people in an audience who finish watching a document
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Answer:

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Step-by-step explanation:

Step 1: The given regression equation y = -0.414x + 106.55

Step 2: The length of the film  = 70 minutes

Step 3: Plug in x = 70 in the given equation and find the value of y.

y = -0.414 (70) + 106.55

y = -28.98 + 106.55

y = 77.57

Y = 78%

Hope you will understand. :)


7 0
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8 0
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