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
Anna35 [415]
3 years ago
12

Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

Answer:

\displaystyle y=-\frac{1}{5}x+\frac{17}{5}

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

y=mx+b

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

m_1.m_2=-1

The given line has a slope m1=5, thus the slope of our required line is:

\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}

The equation of the line now can be expressed as:

\displaystyle y=-\frac{1}{5}x+b

We need to find the value of b, which can be done by using the point (7,2):

\displaystyle 2=-\frac{1}{5}*7+b

Operating:

\displaystyle 2=-\frac{7}{5}+b

Multiplying by 5:

10=-7+5b

Operating:

10+7=5b

Solving for b:

\displaystyle b=\frac{17}{5}

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}

You might be interested in
What is 99 + 1 <br><br> free 100 points
kobusy [5.1K]
It’s 100 I’m pretty sure
4 0
2 years ago
Read 2 more answers
Help please it’s homework
Fudgin [204]

Answer:

10. 1/9

11. 1 1/6

12. 1/8

Step-by-step explanation:

10.

He spent 2/3 of 1/6 of the day.

In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.

2/3 * 1/6 = 2/18 = 1/9

He spent 1/9 of the day adding mulch.

11.

He spent 2/3 of 1 3/4 hours.

In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.

2/3 * 1 3/4 = 2/3 * 7/4 = 14/12 = 7/6 = 1 1/6

He spent 1 1/6 hours working on the project.

12.

She planted 1/6 of 3/4 of the area.

In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.

1/6 * 3/4 = 3/24 = 1/8

She planted carrots in 1/8 of the garden.

3 0
2 years ago
1. Adjacent angles are two angles in the same plane with a common
stepan [7]

Answer:

Adjacent angles are two angles in the same plane with a common  <u>VERTEX</u> and a common  <u>SIDE</u> but no common interior points.

Step-by-step explanation:

Adjacent angles share a common side on the same vertes, but they do not overlap each other.

In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.

4 0
3 years ago
Solve the exponential equation 1/2^x-5=8^x
dexar [7]

( \frac{1}{2} ) {}^{x - 5}  = 8 {}^{x}  \\  2 {}^{ - x + 5}  = 2 {}^{3x}  \\  - x + 5 = 3x \\  - 4x =  - 5 \\ x =  \frac{ - 5}{ - 4}  =  \frac{5}{4}
7 0
3 years ago
It's all on the picture please answer it​
zubka84 [21]
14?
17-12=5
5x2=10
10+4 =14
7 0
3 years ago
Read 2 more answers
Other questions:
  • Choose the fraction that is equal to 3/4. A.3/8 B.6/12 C.9/16 D.6/8
    6·2 answers
  • A box has a volume of 135 feet3. The length is same as the height, and the width is 5 times the length. What are the dimensions
    14·1 answer
  • Three-fourths of a number decreased by 10 is greater than or equal 5.
    15·1 answer
  • The graph of a system of equations with the same slope will have no solutions. (1 point)
    10·1 answer
  • What do I need to do
    9·2 answers
  • Find value the value of x in the image below please help
    13·2 answers
  • I need Help! ASAP: The current temperature in Lansdowne is 20°F. This is 6 degrees less than twice the temperature that it was f
    14·2 answers
  • Help I don’t get this
    15·1 answer
  • Order the numbers from greatest to least 1/4 5/8 3/16
    12·1 answer
  • Kevin is twice as old as his sister Amy their father is five times as old as Amy if the sum of the ages is 64 how old is Amy
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!