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3 years ago

Three of these expressions give the distance between point A and point B on the number line

Mathematics

1 answer:

frutty [35]3 years ago

6 0

Answer:

Option A does not give the right expression.

Step-by-step explanation:

On the number line if there are two points P(a) and Q(b) given by coordinates a and b, then the distance between those two points will be given by

d = |a - b| ......... (1)

which is independent of the position of the points.

Therefore, if point A is at - 3.5 and point B is at 7.5, then the distance between point A and point B will be given by |7.5+3.5| or |- 3.5-7.5| or |7.5-(-3.5)|, but not by |7.4-3.5|.

Hence, option A does not give the right expression. (Answer)

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Thomas invested $40,000. He put part of the money in an account paying 2% interest and the remainder

Rainbow [258]

Answer:

18,000 at 2%

22,000 at 3%

Step-by-step explanation:

x: the amount in account paying 2% interest

y: the amount in stock paying 3% interest

x + y = 40,000

2%. x + 3%. y = 1020

⇒ x = 18,000

y = 22,000

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2 years ago

Line Equation from Two Points

Verdich [7]

Hi!

We can use point-slope form to solve this.

$y-y_{1} =m(x -x_{1})$

$y_{1}$ and $x_{1}$ will be from one of the points.

First, we have to find $m$ , the slope. We can use the slope equation to get this.

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} }$

Plug in your points:

$\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}$

Your slope is $\frac{1}{4}$

Now plug points and slope into point-slope equation. We will use (8, 4).

$y-4=\frac{1}{4} (x-8)$

Now, if you want to get it into y = mx + b form, you have to solve for y:

$y-4=\frac{1}{4} (x-8)$

$y-4=\frac{1}{4} x-2$

$y=\frac{1}{4} +2$

Your equation is $y=\frac{1}{4} +2$

For more information on how to get the equation of a line when given two points, see here:

brainly.com/question/986503

7 0

2 years ago

Consider the given functions. Select the expression that will produce h(x). A. f(x) + f(x) B. f(x) − g(x) C. f(x) + g(x) D. g(x)

Liula [17]

Answer:

here is your answer

Step-by-step explanation:

here is your answer

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3 years ago

Karls mother buys 60 party favors to give out as a fift during karls birthday party which number of guest will not let her divid

xeze [42]

THE answer is 15 just look it up

7 0

3 years ago

Read 2 more answers

Name a point that is between 50 and 60 units away from (7,-2) and state the distance between the two points.

laila [671]

Let the required point be (a,b)

The distance of (a,b) from (7,-2) is

= $\sqrt{(a-7)^2+(b+2)^2}$

But this distance needs to be betweem 50 & 60

$50$

Squaring all sides

2500 < (a-7)² + (b+2)² < 3600

Let a = 7

So we have

2500 < (b+2)² <3600

b+2 < 60 or b+2 > -60 => b <58 or b > -62

Also

b+2 >50 or b + 2 < -50 => b >48 or B < -52

Let us take one value of b < 58 say b = 50

So now we have the point as (7, 50)

The other point is (7,-2)

Distance between them

= $\sqrt{(7-7)^2+(50+2)^2}= \sqrt{(52)^2}=52$

This is between 50 & 60

Hence one point which has a distance between 50 & 60 from the point (7,-2) is (7, 50)

6 0

3 years ago

Read 2 more answers