The required equation of the line is y = -1/2x
<h3>Equation of a line</h3>
The standard equation of a line is expressed as y = mx + b
- where:
- m is the slope
- b is the y intercept
Given the coordinate points (0,0) and (4, -2)
Slope = -2/4 = -1/2
The intercept is 0 since the line pass through the origin
Hence the required equation of the line is y = -1/2x
Learn more on equation of a line here: brainly.com/question/13763238
gives an average cost per unit, if we want to produce x of them.
So for example, we want to produce 500 toy cars for our store, and we need a price per unit (per 1 toy car). What we do is we calculate C(500).
So to calculate the cost of one unit when producing 1250, we calculate C(1250)
$ is the cost of 1 toy car.
Answer
I’d say that it’s definitely random choice for the squares, pentagons, and hexagons. But, if we are looking at how common it would be between the 3 of them, then I would say that it would be one of the hexagons, because there are more hexagons than any of the other shapes in the bag.
Answer:
PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution
Step-by-step explanation:
The naming of the segments suggests that point P is between L and R, so that ...
LP + PR = LR
This corresponds to the last choice.
_____
<em>Comments on the alternate interpretation</em>
On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...
PL + LR = PR
The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...
LP + LR = PR
and by the commutative property, ...
LR + LP = PR.
Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.
Answer:3/8
Step-by-step explanation:
The simplest form of
15
/40 is 3
/8
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 15 and 40 is 5
Divide both the numerator and denominator by the GCD
15 ÷ 5
40 ÷ 5
Reduced fraction:
3
/8
Therefore, 15/40 simplified to lowest terms is 3/8.
