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
fredd [130]
2 years ago
15

Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. Pleas

e also tell me how you did this! Thank you so much!!
(3, 5); y=−3x+7
Mathematics
1 answer:
Anna71 [15]2 years ago
6 0

Answer:

y = \frac{1}{3}x + 4

Step-by-step explanation:

First, to figure out the equation of a line you must find the slope then plug in the coordinates.

In order to find the slope of the equation, you know that it is perpendicular to the equation y = -3x + 7.

Perpendicular slopes are basically reciprocals with opposite signs; you flip the number and give it the opposite symbol.

For example, the perpendicular slope of 2 would -1/2, because flipping the fraction 2/1 is 1/2 and the opposite sign of + would be -.

Therefore, the perpendicular slope of -3 would be 1/3, be 3/1 flipped upside down is 1/3 and the opposite sign of - is +.

Then you plug in the slope into the equation of a line along with the coordinate.

A line is y = mx + b

Since you found the slope, m = 1/3

They also give you the coordinate (3,5), meaning when x = 3, the y =5.

You plug everything into the equation to solve for b:

5 = (1/3)(3) + b

b = 5 - (1/3 * 3) = 5 - 1 = 4

Since you have values for m and b, the equation can now be constructed as

y = 1/3x + 4

You might be interested in
(c+4)^2(4-c)^2 i need help
Furkat [3]

Answer

c^4-32c^2+256 (Simplified)

8 0
2 years ago
-8
nevsk [136]

Answer:

  take your pick. Each has its own reason.

Step-by-step explanation:

As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.

__

I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.

6 0
3 years ago
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
Alexus [3.1K]

Answer:

0.4kg, 1.4kg and 1.8kg

Step-by-step explanation:

Given parameters:

         Mass of alloy = 3.6kg

         Ratio of elements in the alloy = 2:7:9

Unknown:

Mass of each element in the alloy = ?

Solution:

To find the mass of each element in the alloy, first find the sum of the ratio;

              2+7+9 = 18

Mass of nickel  = \frac{2}{18} x 3.6 = 0.4kg

Mass of zinc = \frac{7}{18} x 3.6 = 1.4kg

Mass of copper = \frac{9}{18} x 3.6 = 1.8kg

The mass of each metal is 0.4kg, 1.4kg and 1.8kg

5 0
2 years ago
nina wants to enclose a sqare root garden with fencing. It has an area of 141 square feet. To the nearest foot, how much fencong
leonid [27]

The side length (in feet) of the square that is Nina's garden is √141. The four sides of the square are the same length, so add to ...

... 4×√141 = 4×11.874 ≈ 47.497

Rounding to the nearest foot, we find Nina needs 47 feet of fencing.

_____

The answer digit in the tenths place is less than 5, so we round down to the next lower foot.

Note that if you actually multiply 11.874 by 4, you get 47.496. When you're working a problem like this, you always want to maintain full calculator precision until the end. The number we actually used in that multiplication was 11.874342087... (my calculator carries 32 digits). The number that gets rounded is 47.4973683482.... Enough digits are shown here to show how close the number is to being rounded to 48.

If you have your calculator set to show only two decimal digits, you will get the wrong answer. Your calculator will show you 47.50, which you would appropriately round to 48.

5 0
3 years ago
your brand new 20,000 car will depreciate to 2,000 at a constant rate in ten years. Write a linear model relating the value "v"
koban [17]
Define
v =  value after t years.

Therefore the linear model is
v = mt + c
where
 m = depreciation rate
t = years since purchase
c =  constant

When t=0, v = 20,000, therefore
20000 = m(0) + c
c = 20000

When t=10, v = 2000, therefore
2000 = 10m + 20000
-18000 = 10m
m = -1800

Answer:
The linear model is
v = -1800t + 20000

5 0
3 years ago
Read 2 more answers
Other questions:
  • Based on the picture below. find the angle measure for lmn.
    9·1 answer
  • Given that a couple decides to have 3 children, none of them adopted. <br> Find sample space s.
    6·1 answer
  • Increase £600 by 15%?
    11·2 answers
  • How many terms are in the simplified expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2
    14·2 answers
  • Find the x-intercept for y=x^2+4x+5​
    6·1 answer
  • Calculate the volume of the pyramid above. <br> V = ? m3
    13·1 answer
  • Sharla's batting average is 0.583. what would that be in fraction form
    11·1 answer
  • HELP ME I MESSED UP ON MY OTHER QUESTION PLZ I WILL GIVE YOU ALOT OF POINTS
    6·1 answer
  • If you could please help, what is the missing answer?<br><br> Thank you to anyone who helps out!
    14·1 answer
  • Apply the distributive property (m−3+4n)⋅(−8)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!