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LUCKY_DIMON [66]
3 years ago
6

What is the slope of the line that passes through the pair of points? (1, 7), (10, 1) Question 19 options: 2/3 -2/3 3/2 -3/2

Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Slope is defined simply as delta y over delta x or the change in y over the change of x. We need to decided what points is going to be the start or the end. Typically, the point farther to the right of the graph is considered the end point.

Start: (1, 7)

End: (10, 1)

m = \frac{1 - 7}{10 - 1} \\\\\\m = \frac{-6}{9} \\\\\\m = \frac{-2}{3}


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Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
3 years ago
ANSWER THIS QUICK QUESTION FOR 16 POINTS!
salantis [7]

I believe it's C E.

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7 0
3 years ago
Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the dif
Novay_Z [31]

Answer: Step 1: Reverse the signs of 6x^3-2x + 3 expression.

Step 2: Removing parenthesis

Step 3: Grouping like terms

Step 4: Combing like terms

Step 5: Writing the final expression in standard form

Step-by-step explanation: First expression :6x^3-2x + 3

Second expression : -3x^3+5x^2+4x-7.

We need to subtract 6x^3-2x + 3 from -3x^3+5x^2+4x-7.

Step 1: Reverse the signs of 6x^3-2x + 3 expression.

(-3x^3+5x^2+4x-7)+(-6x3+2x-3)

Step 2: Removing parenthesis

(-3x^3) +5x^2+4x + (-7) + (-6x^3) + 2x + (-3)

Step 3: Grouping like terms

[-3x^3) + (-6x^3)] + [4x + 2x] + [(-7) + (-3)] + [5x^2]

Step 4: Combing like terms

-9x^3 + 6x + (-10) + 5x^2

Step 5: Writing the final expression in standard form

-9x^3 + 5x^2 + 6x-10



8 0
3 years ago
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Fill in the missing values in the formula. What is the variance? 0 3.217 3.522 12.405 148.86
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Answer: This’s the answer for your question 12.405

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How do I do this problem
Marina86 [1]
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

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