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scZoUnD [109]
3 years ago
5

What is the slope of the midsegment parallel to AC?

Mathematics
1 answer:
Alenkinab [10]3 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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A cab driver is paid $6 plus $0. 45 per mile driven. Which expression shows the amount of money the cab driver earns in m miles?
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Algebraic expression is the expression which consist the variables, coefficients and the constants. The expression for the condition given in the problem is 0.45m+6.

Given information

A cab driver is paid $6 plus $0.45 per mile driven.

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<h3>Algebraic expression</h3>

Algebraic expression is the expression which consist the variables, coefficients and the constants. The algebraic expression are used to solve the condition based problems by expressing them into the algebraic form.

As the cab driver is paid $6 as the fixed amount of the taxi irrespective to the mile driven. Thus this is independent to the other variables and written as the constant in the expression.

As the total miles driven by the cab driver is<em> m</em>. The cost of the per mile driven the car is $0.45. Thus the expression for this condition can be given as,

f(m)=0.45m+6

Hence, the expression for the condition given in the problem is 0.45m+6.

Learn more about the algebraic expression here;

brainly.com/question/953809

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<h2>stay safe healthy and happy...</h2>
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