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4 years ago

What is the slope of the midsegment parallel to AC?

Mathematics

1 answer:

Alenkinab [10]4 years ago

8 0

Answer:

The slope of midsegment which is parallel to AC is -4.

Step-by-step explanation:

We know that the slopes of parallel lines are same. It is given that the midsegment is parallel to AC, therefore the slope of AC and slope of midsegment is equal.

The slope of a line is

$m=\frac{y_2-y_1}{x_2-x_1}$

From the given figure it is noticed that A(3,7) and C(5,-1).

Slope of AC is

$m=\frac{-1-(7)}{5-(3)} =\frac{-8}{2}=-4$

Since the midsegment is parallel to AC, therefore their slopes are equal.

$\text{Slope of midsegment}=-4$

Therefore the slope of midsegment which is parallel to AC is -4.

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Answer: $5 per calculator

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3 years ago

Is 1/2 greater than 4/5

Law Incorporation [45]

For this question you should know:
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3 years ago

Taking a test i don’t know anything about please help

PilotLPTM [1.2K]

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 4:

The line of regression is $\hat y = a+bx$ where:

$a=\overline y-b \overline x$

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We are given that $\overline y=75$ , $s_y=8$ , $\overline x=280$ , $s_x=30$ , and $r=0.60$ , therefore our slope, $b$ , is:

$b=\frac{r*s_y}{s_x}$

$b=\frac{(0.60)(8)}{30}$

$b=0.16$

Therefore, the slope of the regression line is 0.16, which can be used along with the values of $\overline y$ and $\overline x$ to find the constant $a$ :

$a=\overline y-b \overline x$

$a=75-(0.16)(280)$

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This means our final regression line is $\hat y = 30.2 + 0.16x$

Problem 5:

The slope, $b=0.16$ , means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.

Problem 6:

The y-intercept (or constant), $a=30.2$ , means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.

Problem 7:

$R^{2}=(0.60)^{2}=0.36=36\%$

Problem 8:

The fraction of variability (aka. coefficient of determination), $R^2$ , means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.

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3 years ago

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ahrayia [7]

Answer:

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Hope this helps, ask if you have any more questions!

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2 years ago

Savannah has $5 in her wallet. She owes her brother $20 and owes her sister $18. She earned $25 babysitting. Write an algebraic

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3 years ago