What is the midpoint of a segment whose endpoints are (–4, 6) and (2, 5)?

1 answer:

7 0

The midpoint of a segment refers to the point in the middle of any segment. This can be find by using the formula, M=(x1+x2/2,y1+y2/2).

In this exercise is given that a segment has coordinates (-4,6) and (2,5). It is asked to find the midpoint of the segment, to do that you should substitute the given coordinates into the Midpoint Formula.

M=(x1+x2/2,y1+y2/2)
M=(-4+2/2,6+5/2)
M=(-2/2,11/2)
M=(-1,11/2) or (-1,5.5)

The midpoint of the segment is (-1,11/2), or letter A from the given choices.

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One serving of the food product contains 1g total saturated fat or 5% daily value (DV) for saturated fat. What is the daily valu

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Answer:

The daily value for saturated fat is 20g.

Step-by-step explanation:

Percentage problems can be solved by rule of three

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

A percentage problem is an example where the relationship between the measures is direct.

The problem states that 1g is 5% of the daily value for saturated fat. The daily value(100%) for saturated fat is x, so:

1g - 5%

xg - 100%

5x = 100

$x = \frac{100}{5}$