1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marusya05 [52]
3 years ago
10

-11.

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

<em>A(2,3) has a distance of 2 to the y-axis</em>

<em>B(-3,2) has a distance of 3 to the y-axis</em>

<em>C(2,-3) has a distance of 2 to the y-axis</em>

<em>D(-3,-2) has a distance of 3 to the y-axis</em>

Step-by-step explanation:

<u>Distance of a point to an axis</u>

Given a point (x,y) its rectangular coordinates are defined as the distances from the point to each axis with respect to the origin (0,0).

For example, the point (5,4) has a distance of 5 from the y-axis and a distance of 4 from the x-axis.

Generally speaking, point (x,y) has a distance |x| from the y-axis and a distance |y| from the x-axis.

The absolute value bars are used because the distance is always positive.

Apply that to the points:

A(2,3) has a distance of 2 to the y-axis

B(-3,2) has a distance of 3 to the y-axis

C(2,-3) has a distance of 2 to the y-axis

D(-3,-2) has a distance of 3 to the y-axis

You might be interested in
Simplify 5(x - 2) + 6<br><br> 5x + 4<br> 5x - 4<br> 5x + 20
Akimi4 [234]
5x-10+6 (then you sum the like terms)
5x-4
the answer is B 5x-4
6 0
3 years ago
Read 2 more answers
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2. ​
insens350 [35]

Answer:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

Step-by-step explanation:

Given

p(x) = \frac{x^2-2x-3}{x+2} -- Missing from the question

Required

The behavior of the function around its vertical asymptote at x = -2

p(x) = \frac{x^2-2x-3}{x+2}

Expand the numerator

p(x) = \frac{x^2 + x -3x - 3}{x+2}

Factorize

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

Factor out x + 1

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

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

x -> -2^{-} Say x = -3

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

p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

x->-2^{-}, p(x)->-\infty

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: x>-2

Say x = -2.1

p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

x->-2^{+}, p(x)->-\infty

So, the behavior is:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

6 0
3 years ago
What is the averge speed of a plane flying 2,184 miles from knoxville tn to los angeles ca in 7 hours
katrin2010 [14]

Answer:

312 mi/hr

Step-by-step explanation:

Distance = 2184 miles

Time taken = 7 hours

Average speed = Distance / time taken

Average speed = 2184 miles / 7 hours

Average speed = 312 miles per hour

Hence, the average speed Traveled by the plane traveling from Knoxville to Los Angeles is 312 miles per hour

5 0
3 years ago
The selling price of a skateboard is $147. The store has a 75% markup policy. What is the cost of the skateboard to the store?
Maru [420]
The answer is $84.00
5 0
3 years ago
Read 2 more answers
What is the probability of selecting a red jack from a deck of cards?
Ostrovityanka [42]

Answer:

There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Find the perimeter of the figure
    6·1 answer
  • Express the sum in the simplest form.
    5·1 answer
  • Find the slope of a line that is perpendicular to the line 4x + 3y - 15 = 0. -3/4 4/3 3/4
    15·1 answer
  • A radio station had 141 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tick
    8·1 answer
  • Which of this following functions are even functions of x, and which are odd? (i) x
    6·1 answer
  • One customer purchases 8 bags of cat food and 2 bags of dog food. The total weight of the purchase is 44 pounds. Another custome
    15·1 answer
  • - {(-3, 3), (1, 1), (0, -2), (1,-4), (5, -1)}<br><br> Function?
    8·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST
    13·1 answer
  • How many solutions does it have?<br> 3x+4 = 3x+4
    10·2 answers
  • What is the probability of a passenger on the titanic ship surveying given they were in first class?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!