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3 years ago

Which best explains how you know that P(2, 7) is on the same line as Q(7, 4) and R(12, 1)?

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Answer:

See explanation below

Step-by-step explanation:

The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change: - 3/5, which is in fact the slope of the line the three points belong to.

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Represent the following as integers with appropriate signs ?

Mrac [35]

Answer:

a +100 m

+24 degrees

+4000

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3 years ago

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Among all pairs of numbers whose difference is 6, find a pair whose product is as small as possible. What is the minimum produc

mixas84 [53]

Answer:

pairs of numbers is 3,-3

Step-by-step explanation:

The computation is shown below:

Let us assume a and b are the pairs of the numbers whose difference is 6

i.e.

a - b = 6

a = 6 + b

f = ab

f = (6 + b)b is minimum

Now

d ÷ db (6+ b)b = 0

(6+ b) + b = 0

2b = -6

b = -3

Now

a = 6 + b

= 3

So pairs of numbers is 3,-3

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3 years ago

79%

REY [17]

9514 1404 393

Answer:

Step-by-step explanation:

The two expressions for her salary can be equated:

2h +4 = 4 +4h

0 = 2h . . . . . . . . subtract 2h+4 from both sides

h = 0 . . . the husband's salary is zero dollars per month

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3 years ago

Describe in words where the square root of twenty-four would be plotted on the number line.

Rzqust [24]

The square root of 24 would be plotted between 4 and 5, but closer to 5 on a number line.

<h3>What is a number line?</h3>

A number line is a horizontal line with evenly spaced numerical increments. The numbers on the line will dictate how you answer the number on the line.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, denoted by \mathbb {R}. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point.

Number lines are extremely adaptable, that can be used to locate numbers, compare numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and much more.

The square root of $\sqrt{24}=4.899$ , which is between 4 and 5, but closer to 5 on a number line.