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
Lena [83]
3 years ago
7

What is the equation for​

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

The equation of a line that is perpendicular to the given line is y = –4x – 16.

Solution:

The equation of a line given is y = 0.25x – 7

Slope of the given line(m_1) = 0.25

Let m_2 be the slope of the perpendicular line.

Passes through the point (–6, 8).

<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>

\Rightarrow m_1 \cdot m_2=-1

\Rightarrow 0.25\cdot m_2=-1

\Rightarrow m_2=\frac{-1}{0.25}

\Rightarrow m_2=-4

Point-slope intercept formula:

y-y_1=m(x-x_1)

x_1=-6, y_1=8 and m=-4

Substitute these in the formula, we get

y-8=-4(x-(-6))

y-8=-4(x+6)

y-8=-4x-24

Add 8 on both sides of the equation.

y-8+8=-4x-24+8

y=-4x-16

Hence the equation of a line that is perpendicular to the given line is

y = –4x – 16

You might be interested in
Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
bonufazy [111]

Answer:

The ratio of Tan B is

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}

Substituting the given values we get

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

5 0
3 years ago
a train travels 304 miles in 4 hours if it continues to travel at the same rate how many miles will it travel in seven and a hal
svlad2 [7]

Answer:

570 miles

Step-by-step explanation:

304/4 is how many miles it travels in each hour and if its 7.5 hours then you multiply that by each mile it takes each hour.

304/4 = 76

76 x 7.5 = 570

5 0
3 years ago
The width and height of a television screen are 80 in and 45 in, respectively. Find the area of this television screen.
r-ruslan [8.4K]

Answer: C: 3600


Step-by-step explanation: When trying to find the area of a rectangle or a square all you need to do is multiply the Length and the Width (L * W). The equation you need to solve this is 80 * 45 = x. The answer is 3600.


4 0
2 years ago
Read 2 more answers
What is the slope for (-6,4) and (2,12)
Romashka-Z-Leto [24]

Answer:

1

Step-by-step explanation:

(-6,4) and (2,12)

slope = m = (y2 - y1) / (x2 - x1)

= 12 - 4 / 2 - (-6)

= 8/8

= 1

5 0
2 years ago
ROUND of 1,637,984 OFF to two decimal places​
natka813 [3]

Answer:

1,637,984.00

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • How many lines of symmetry does a kite have? 4 3 1 2
    12·1 answer
  • What is the answer to 7x+5-8x
    12·1 answer
  • 3/4 liter of water in a bottle. if you drink 1/2 of the water, how many liters did you drink​
    10·1 answer
  • Need help please it's due today
    5·1 answer
  • Anna wants to buy a car in two years and wants to have $10,000 for the purchase. How much will Anna need to deposit today in an
    9·1 answer
  • The ages of Jamal, Wesley, an John are consecutive integers.the sum of thier ages is 108.what are thier ages .
    13·1 answer
  • Can you help me figure out the slope of this line?<br> please and thx<br> ASAP.
    15·1 answer
  • The enrolment of our school is 800. If 35 % are girls
    8·2 answers
  • In the right triangle, a = 20, b = 21. Find c<br><br> A) 841<br> B) 22<br> C) 29
    10·1 answer
  • (4x+2)=102+44 solve for x
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!