All categories

3 years ago

what is the equation of the line that is perpendicular to and has the same y intercept as the given line

Mathematics

1 answer:

Artist 52 [7]3 years ago

8 0

Answer:

y=5x+1

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(0,1) and (5,0)

m=(0-1)/(5-0)

m=-1/5

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

m1*m2=-1

m1=-1/5

substitute

(-1/5)*m2=-1

m2=5

step 3

Find the equation of the line with slope m=5 and y-intercept (0,1)

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=5

b=1

substitute

y=5x+1

You might be interested in

After 15 years my age will be 4 times of present age what is my present age

scoray [572]

X +15 = 4x

15 = 3x

x=5

Your present age is 5

8 0

3 years ago

Read 2 more answers

How do I find the value of k

Tju [1.3M]

The value of k is 2/5

$\texttt{ }$

<h3>Further explanation</h3>

Vector is quantity that has magnitude and direction.

One example of a vector is acceleration.

Let us now tackle the problem !

$\texttt{ }$

This problem is about Vector Diagram.

$\overrightarrow{OA} = \overrightarrow{a}$

$\overrightarrow{OC} = \overrightarrow{c}$

X is the midpoint of the line AC:

$\overrightarrow{x} = \frac{1}{2} (\overrightarrow{a} + \overrightarrow{c})$

$\texttt{ }$

OC : CD = k : 1

$k \overrightarrow{CD} = \overrightarrow{OC}}$

$k( \overrightarrow{d} - \overrightarrow{c} ) = \overrightarrow{c}}$

$( \overrightarrow{d} - \overrightarrow{c} ) = \frac{1}{k} \overrightarrow{c}}$

$\overrightarrow{d} = \overrightarrow{c} + \frac{1}{k} \overrightarrow{c}}$

$\overrightarrow{d} = ( 1 + \frac{1}{k} ) \overrightarrow{c}}$

$\texttt{ }$

$\overrightarrow{XD} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}$

$\overrightarrow{d} - \overrightarrow{x} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}$

$( 1 + \frac{1}{k} ) \overrightarrow{c} - \frac{1}{2} (\overrightarrow{a} + \overrightarrow{c}) = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}$

$( 1 + \frac{1}{k} - \frac{1}{2}) \overrightarrow{c} - \frac{1}{2} \overrightarrow{a} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}$

$( \frac{1}{k} + \frac{1}{2}) \overrightarrow{c} - \frac{1}{2} \overrightarrow{a} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}$

$\frac{1}{k} + \frac{1}{2} = 3$

$\frac{1}{k} = 3 - \frac{1}{2}$

$\frac{1}{k} = \frac{5}{2}$

$k = \frac{2}{5}$

$\texttt{ }$

<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437
Kinetic Energy : brainly.com/question/692781
Acceleration : brainly.com/question/2283922
The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Vectors

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate, Stream , Vector

7 0

4 years ago

Write 1.4 over 7 in simplest form

Nana76 [90]

2/10 because 0.7/7 is equal to one tenth, so 1.4/7 is equal to 2/10

7 0

3 years ago

Find the sum of the geometric series.

sveticcg [70]

Answer:

40/3 option B

Step-by-step explanation:

20-10+5-5/2+ ...

We need to find the sum of infinite geometric series

$S_n = \frac{a}{1-r}$

a is the first term (20)

r is the common ratio

To find common ratio we divide second term by first term

r= $\frac{-10}{20} = -\frac{1}{2}$

now we plug in the values

$S_n = \frac{20}{1-(-\frac{1}{2}}$

$S_n = \frac{20}{1+\frac{1}{2}}$

$S_n = \frac{20}{\frac{3}{2}}$

$S_n = 20 * \frac{2}{3}$

sum = 40/3

7 0

4 years ago

Zoe goes out to lunch. The bill

DanielleElmas [232]

Answer:

$60

Step-by-step explanation:

To find how much Zoe paid before the sales tax and tip, we first need to consider the amount she paid in sales tax and tips.

Sales tax + Tips = $18.60

Let x = original price

Sales tax = 11% * original price

Sales tax = 0.11 * x

x= 0.11x

Tips = 20% * original price

Tips = 0.20 * x

x = 0.2x

Now that we have a value for both the sales tax and tips, we can then proceed to find the original price by:

0.11x + 0.2x = 18.60

0.31x = 18.60

Now we need to divide both sides by 0.31 to find x.

x = 60

Zoe's dinner before the sales tax and tips was $60.

5 0

3 years ago

Read 2 more answers

what is the equation of the line that is perpendicular to and has the same y intercept as the given line​

what is the equation of the line that is perpendicular to and has the same y intercept as the given line