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
sergejj [24]
3 years ago
6

A path for a new city park will connect the park entrance to Main Street, as shown to the right. The path should be perpendicula

r to Main Street. What is an equation that represents the path?

Mathematics
2 answers:
adelina 88 [10]3 years ago
3 0

Answer:

y = -\frac{1}{2}x + 3

Step-by-step explanation:

To create an equation in slope-intercept form, y = mx + b, for the path, we need to find slope (m) of the path, and also determine the y-intercept (b) of the path.

First, find the slope of the main street:

Using two points on the main street, (2, 3) and (3, 5),

slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{5 - 3}{3 - 2} = \frac{2}{1} = 2

Since the path would be perpendicular to the main street, therefore, the slope of the path would be the negative reciprocal of 2.

Thus, the slope of the path, m = -½.

The y-intercept of the path is the point at which the line of the path cuts across the y-axis.

The path intercepts the y-axis at y = 3. Therefore, the y-intercept (b) = 3.

Substitute m = -½, and b = 3 into y = mx + b.

✅The equation that represents the path would be:

y = -\frac{1}{2}x + 3

MArishka [77]3 years ago
3 0

Answer:

its y=1/2x+4 lol the other guy was 1 off

Step-by-step explanation:

You might be interested in
Phone calls arrive at the rate of 48 per hour at the reservation desk for regional airways.
rosijanka [135]

The different probabilities and number of callers expected to be waiting are;

A) P(x = 3) = 0.0286

B) P(x = 13) = 0.1056

C) 8 will be waiting

D) P(x = 0) = 0.0003

E) P(x = 0) = 0.0067

<h3>How to find probability using Poisson distribution?</h3>

We are given the rate of 48 phone calls per hour.

Thus, we will use poisson's distribution formula;

P(x) = (λˣ × e^(-λ))/x!

A) Probability of receiving three calls in a 10-minute interval of time which is P(x = 3). Thus;

λ = 48 * (10/60)

λ = 8

P(x = 3) = (8³ × e⁻⁸)/3!

P(x = 3) = 0.0286

B) Probability of receiving exactly 13 calls in 15 minutes is P(x = 13). Thus;

λ = 48 * (15/60)

λ = 12

P(x = 13) = (12¹³ × e⁻¹²)/13!

P(x = 13) = 0.1056

C) No calls are currently on hold and it takes 10 minutes to complete one call. Thus;

λ = 48 * (10/60)

λ = 8

Thus, 8 will be waiting after 10 minutes.

D) Probability that no one will be waiting is;

P(x = 0) = (8⁰ × e⁻⁸)/0!

P(x = 0) = 0.0003

E) No calls being processed and it takes 5 minutes for a personal time without being interrupted by a call. Thus;

λ = 48 * (5/60)

λ = 4

P(x = 0) = (4⁰ × e⁻⁵)/0!

P(x = 0) = 0.0067

Read more about probability with poisson's distribution at; brainly.com/question/7879375

4 0
3 years ago
Jason has two bags with 6 tiles each.
dimaraw [331]

Answer:

1/4.

Step-by-step explanation:

I am assuming that there are 3 even and 3 odd tiles in each bag.

Probability( drawing an even tile form one bag) = 3/6 = 1/2.

The probability  of drawing  an even from the first and an even from the second = 1/2 * 1/2 = 1/4 (answer).

The individual probabilities  are multiplied because the 2 events are independent.

8 0
3 years ago
Read 2 more answers
What is 56 ÷ 7 + 3y3 when y = 4?
lesya692 [45]

Answer:

44

Step-by-step explanation:

look at the screenshot below, it should help

6 0
3 years ago
Read 2 more answers
Solve the inequality.<br><br> 5/6t - 3≥3t + 6
Papessa [141]

Answer:

t ≤ -\frac{54}{13}

Step-by-step explanation:

\frac{5}{6}t−3−3t≥3t+6−3t

-\frac{13}{6}t−3≥6

-\frac{13}{6}t−3+3≥6+3

\frac{13}{6}t≥9

-\frac{6}{13}(-\frac{13}{6}t) ≥ -\frac{6}{13}(9)

t ≤ -\frac{54}{13}

6 0
2 years ago
Janae' is buying food for a party. She is buying a cheese tray for $4.50 and a few pounds of fruit for
bogdanovich [222]

Answer:

0.67

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • How many cups does it take to make a gallon of water
    11·1 answer
  • A yard of fabric cost $12.99. How much will 3.4 pounds cost
    15·1 answer
  • Yah u got that yummy yum
    12·2 answers
  • If you need 20 feet of tile and each tile measures a half a foot how many tiles do you need to get?
    10·2 answers
  • I'm so confused about conjecture. Not sure how to explain it to my daughter.
    15·1 answer
  • The concentration of the mixture obtained by mixing two solutions, A and B, is 6 2/3 %. The concentration of the second mixture
    14·1 answer
  • B) fully factorise <br>7x - 49​
    9·1 answer
  • Hurryy pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    8·1 answer
  • Plss do this too question
    11·1 answer
  • 25 tickets are sold for a raffle with two prizes. You buy four tickets.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!