All categories

3 years ago

What is the rule for finding the distance of a point when the points are in the same Quadrant?

1 answer:

6 0

Find the horizontal and vertical distance between the points. First, subtract y2 - y1 to find the vertical distance. Then, subtract x2 - x1 to find the horizontal distance.

You might be interested in

Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

3 0

3 years ago

Elena ate 2/8 of a pizza and Dylan ate 1/5. Use the number lines and benchmark fractions to estimate how much of the pizza they

netineya [11]

Answer:

18/40

Step-by-step explanation:

1. Find a common denominator

8, 16, 24, 32, 40

5, 10, 15, 20, 25, 30, 35, 40

2/8 times 5= 10/40

1/5 times 8= 8/40

10/40 plus 8/40= 18/40

7 0

3 years ago

If the population of

Dahasolnce [82]

It would take 32 minutes.

1,000 * 32 = 32,000

3 0

2 years ago

A piece of rope 20 feet long is cut from a longer piece that is at least 32 feet long. The remainder is cut into four pieces of

algol13

Answer:

smaller pieces must be larger than 3 feet

Step-by-step explanation:

x is the longer piece

x>32

x-20>12

12/4=3

smaller pieces resembled as y

y>3

5 0

3 years ago

Read 2 more answers

7. Mr. Garcia bought 27 large boxes of chlorine tablets and 33 small boxes of chlorine tablets. Each

AVprozaik [17]

Answer:

$2,487.00

Step-by-step explanation:

27x53= 1431

33x32= 1056

1056 + 1431= 2487

4 0

3 years ago