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
Vedmedyk [2.9K]
2 years ago
13

A walking path across a park is represented by the equation y=-3x - 3. A

Mathematics
2 answers:
luda_lava [24]2 years ago
7 0

Answer:

y = (1/3)x + 7

Step-by-step explanation:

The general structure form of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.

The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.

m = 1/3

x = -3

y = 6

y = mx + b                                  <----- Slope-intercept form

6 = (-3)(1/3) + b                           <----- Insert values

6 = -1 + b                                    <----- Multiply -3 and 1/3

7 = b                                           <----- Add 1 to both sides

Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.

y = (1/3)x + 7

MariettaO [177]2 years ago
5 0
Y=1/3x + 7 is the correct answer
You might be interested in
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent lightbulbs. the
kogti [31]

The Empirical Rule applies to a normal, bell-shaped curve and states that within one standard deviation of the mean (both left-side and right-side) there is about 68% of the data; within two standard deviations of the mean (both left-side and right-side) there is about 95% of the data; and within three standard deviations of the mean (both left-side and right-side) there is about 99.7% of the data. See display below from Section 3.3 Measures of Variation in the textbook.

 

Example: IQ Scores have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. What percentage of IQ scores are between 70 and 130?

<span>Solution: </span>130 – 100 = 30 which is 2(15). Thus, 130 is 2 standard deviations to the right of the mean. 100 – 70 = 30 which is 2(15). Thus, 70 is 2 standard deviations to the left of the mean. Since 70 to 130 is within 2 standard deviations of the mean, we know that about 95% of the IQ scores would be between 70 and 130.

 


5 0
4 years ago
Can someone explain me how to find square root by prime factorization ?
liubo4ka [24]

Answer:

<h2><u>STEPS</u></h2>
  • Step I: Obtain the given number.
  • Step II: Resolve the given number into prime factors by successive division.
  • Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
  • Step IV: Take one factor from each pair.
  • Step V: Find the product of factors obtained in step IV.
  • Step VI: The product obtained in step V is the required square root.
<h2><u>Example </u></h2>

<u> Find the square root of 324</u>

  • 324 = 2 x 162
  • = 2 x 2 x 81
  • = 2 x 2 x 3 x 27
  • = 2 x 2 x 3 x 3 x 9
  • = 2 x 2 x 3 x 3 x 3 x 3
  • ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 )
  • √324 = 2 x 3 x 3
  • √324 = 18
5 0
4 years ago
Help please thank you!
larisa [96]

Step-by-step explanation:

In the picture it shows which quadrant is which. Now we can just mark the dots to figure it out using this representation.

W: quadrant 3

M: x axis

C: quadrant 1

K: quadrant 4

Hope that helps!

4 0
3 years ago
6x 4y y 5 -2 3x 6 how can I solve this
WITCHER [35]

Answer:

Look below at the image I have provided for you <3

Step-by-step explanation:

I hope this helps!

5 0
3 years ago
Determine the answer to (−5) + 4 and explain the steps using a number line.pls help i will give 62 pints
GuDViN [60]
The answer is -1 because if you start with -5 on a number line & move 4 numbers to the right (since it’s positive), you’ll land on -1
6 0
3 years ago
Other questions:
  • Round 15764 to the nearest hundred
    10·2 answers
  • PLEASE HELPPP MEEEEEEEEEEEEEEE
    13·2 answers
  • "A cable TV company wants to estimate the percentage of cable boxes in use during an evening hour. An approximation is 20 percen
    7·1 answer
  • My cousin was interested in reactions that produce carbon dioxide gas. She wondered if there was some way to predict how much ga
    15·1 answer
  • Which describes the number and type of roots of the equation x^3 + 121x = 0?
    11·1 answer
  • 25) (1,-5) parallel to y = - 10x - 3
    14·1 answer
  • What is the scale factor from triangle DEF to triangle ABC?
    8·1 answer
  • Maybell just purchased $2075 worth of jewelry. If she marks up her cost by 30% and sells all of the jewelry, what will be the to
    9·2 answers
  • Factor completely:<br><br> 7r^2− 64r + 64
    9·1 answer
  • True or False
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!