Write an equation of the line that passes through the point (6,2) and is perpendicular to the line y=3x+3

Answers

Answer 1

Answer:

y = -[tex]\frac{1}{3}[/tex] + 4

Step-by-step explanation:

first of all we know the slope of the equation which is 3x. then we know that we are supposed to write an equation that is perpendicular to y = 3x + 3. so since it is supposed to be perpendicular we have to make the current slope opposite.

so slope for our new equation will be -[tex]\frac{1}{3}[/tex]x.

now since we know our slope we use point-slope form and plug everything in.

point-slope form: y1-y=m(x1-x)

plug it in:

y - 2 = -[tex]\frac{1}{3}[/tex] (x - 6)

= y - 2 = -[tex]\frac{1}{3}[/tex]x +2

= y = -[tex]\frac{1}{3}[/tex] + 4


Related Questions

find the y-intercept of the parabola y=x^2-5x+9/2

Answers

Answer:

To find the Y-intercept substitute in 0 for all the x's and solve for Y

Your answer would be (0,9/2)

Steps:

Y=0^2-5(0)+9/2

0^2 -5(0)=0

Y=9/2

0 is your x place

and 9/2 is your Y intercept

Answer:

y-intercept = 9/2 or 4.5

Step-by-step explanation:

In the given quadratic equation, y = x² - 5x + 9/2, where:

a = 1, b = -5, and c = 9/2  

The y-intercept is the point at which the parabola crosses the y-axis, and occurs at point (0, c ).  It is the value of y when x = 0. To find out what I mean by this, we can substitute the value of x = 0 into the quadratic equation:

y = x² - 5x + 9/2

y = (0)² - 5(0) + 9/2

y = 0 - 0 + 9/2

y = 9/2

Therefore, the y-intercept (c) = 9/2, and has coordinates, (0, 9/2) or (0, 4.5).

Attached is a screenshot of the graph, where it shows the y-intercept.  

Please mark my answers as the Brainliest, if you find my explanations helpful :)

3 out of 100 is what percentage?

A 3%
B 30%
C 18%
D 100%

Answers

Answer:A 3%

Step-by-step explanation:

Solve for Rational Inequality.

(x+3)(X+5)x+2≥0

Answers

Do you want me to graph it

SOMEONE PLEASE HELP!!!

3×(-9)-(-15)+2

Answers

Answer:

-10

Step-by-step explanation:

3×(-9)-(-15)+2 = -27 + 15 + 2 = -10
3(-9)-(-15)+2-27+15+2-12+2-10

Done

Write a two-column proof.
Given m<4 =35, m<1= m<2 + m<4.
Prove m<3 = 70

Answers

Answer:

given m<4 = 35° and m<1 = m<2 + m<4

prove m<3 = 70°

Statements Reasons

m<4 = 35° given

m<1 = m<2 + m<4 given

m<2 = m<4 by the vertical angles theorem

35° = 35° substitution property of equality

m<2 + m<4 = m<1 angle addition postulate

35° + 35° = 70° substitution property of equality

m<3 = m<1 by the vertical angles theorem

m<3 = 70° substitution property of equality

The two column proof for the given set of angles are:

m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

Given data:

The measure of angle

The measure of angle m∠4 =35,

The measure of angle m∠1= m∠2 + m∠4.

Now, Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Therefore, m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

35° + 35° = 70° substitution property of equality

Hence, the measure of angle m∠3 = 70°

To learn more about intersecting lines, refer:

https://brainly.com/question/16315358

#SPJ3

At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the short term parking fee but patrons that park for more than 2 hours are charged at the long term parking fee. The parking cost can be modeled with the following piecewise equation, where x represents the number of hours . f(x)={9x, x≤212x, x>2 How much would it cost to park at the train station for 8 hours? Enter your answer in the box.

Answers

Answer:

96

Step-by-step explanation:

Write the measure in degrees (pi)/4

Answers

Let's see

[tex]\\ \rm\longmapsto \pi/4[/tex]

[tex]\\ \rm\longmapsto \dfrac{\pi}{4}\times \dfrac{180}{\pi}[/tex]

[tex]\\ \rm\longmapsto \dfrac{180}{4}[/tex]

[tex]\\ \rm\longmapsto 45°[/tex]

The solution is: the measure in degrees (pi)/4 is 45°.

Here, we have,

given that,

we have to find  the measure in degrees (pi)/4.

now, we know that,

Measure of an Angle in Degrees = 180°        

Measure of an Angle in Radians is:

180° × (π/180°) = π = 3.14 Rad

so, we have,

π/4

= π/4 × (180°/π)

=180 /4

=45°

Hence, the measure in degrees (pi)/4 is 45°.

To learn more on angle click:

brainly.com/question/28451077

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14+3(12+2)-5 to the power of 2=
show your work.

Answers

pemdas

p- 12+2=14
14+3(14)-5^2
e-5^2= 25
m-3x14=42
a and s going left to right
14+42-25
14+42=56
56-25= 31
your answer is 31

NEEED HELP ASAP PLS.................

Answers

(6)(-2)= 12
(-6)(2)= -12

Write down the inequality for x that is shown on this line
O
+
1 2 HELP
+
3
0
4
+
+X
6 7 8
5

Answers

Answer:

[tex]x < 5[/tex]

The answer is

Pls help ASAP pls it’s reasoning with fractions

Answers

84 decimetres is the answer!

need help asap on 9, 10,and 11

Answers

Step-by-step explanation:

9. a)

2•(-2) = 2 - 6

-4 = -4

-2 -2 = -2•2

-4 = -4

Yes, the ordered pair is the solution

9. b)

-1 = 3•(-2) +5

-1 = -6 +5

-1 = -1

3•(-2) +(-1) = -2

-6 -1 = -2

-7 ≠ -2

No, the ordered pair is not the solution

10. (-1, -1) and (3, -1)

11.

y = 6 +x

Now substitute it in the first equation:

3•(6 +x) = 5x

18 + 3x = 5x

18 = 2x

x = 18/2

x = 9

Now, substitute x = 9 in the second equation:

y -9 = 6

y = 6 +9

y = 15

Find the difference 701 and 413

Answers

Answer:

I believe its 288 I might be wrong but it's worth a shot

What is 9(-7)?
I don't even know this

Answers

-63. Hope this helps!

Can have brainliest?

Answer:

-63

Step-by-step explanation:

If you know how to multiply it without the negative then you could take that answer and then put a negative at the beginning.

what’s 5 5/32 (as an mixed number ) as a decimal.

Answers

Answer:

Convert 5 5/32 to an improper fraction.

Step-by-step explanation:

Exact Form:

165/32

Decimal Form:

5.15625

Mixed Number Form:

5 5/32

Answer:

[tex]{ \tt{5 \frac{5}{32} = \frac{(32 \times 5) + 5}{32} }} \\ \\ = { \tt{ \frac{165}{32} }} \\ \\ = { \boxed{ \tt{5.15625}}}[/tex]

Write an equation of the line in slope intercept form for (0,3) and (4,2)

Answers

Answer: 13

Step-by-step explanation:

Step-by-step explanation:

the slope is the y/x ratio of the y and x coordinate differences when going from one point to the other. and it is always the factor of x in the equation.

x changes by 4 units (from 0 to 4), y changes by -1 unit (from 3 to 2).

so, the slope is -1/4.

the intercept means the intercept with the y-axis. and that means the y value when x = 0. which is given already by the first point : 3

so, the equation is

y = -1/4 x + 3

What is the value of 9 squard

Answers

I presume you mean 9 'square'

9^2= 9 X 9 = 81

Cheerio ✌️

Step-by-step explanation:

The value of 9 Square is = 9 ×9= 81

Hope it's help you

can you pls slove the 12 question ​

Answers

So (77 5/7)/17
5/7 = 0.7142
77.7142/17
=4.5714 rupees per metre


help! will mark branliest

Answers

Answer:

B is the answer hope you get it right

I will mark brainlist please help!!

- dilation (lesson)

1) in a dilation of a figure, the distance between two consecutive vertices does not change

• true

• false


2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25


• J (2,1) K (2,2) L (1,2)

• J (-2,1) K (4,2) L (1,0.5)

• J (1,2) K (2,2) L (1,0.5)

Answers

Answer:

see explanation

Step-by-step explanation:

(1) False

A dilatation enlarges or reduces the original figure

Then the distance between consecutive vertices changes.

(2)

Assuming the centre of dilatation is at the origin then multiply the coordinates of the points by the scale factor k = 0.25 ( a reduction )

J (4, 8 ) → J' (4(0.25), 8(0.25) ) → J' (1, 2 )

K (8, 8 ) → K' (8(0.25), 8(0.25) ) → K' (2, 2 )

L (4, 2 ) → L' (4(0.25), 2(0.25) ) → L' (1, 0.5 )


2.5% of 2 2/5
is what number?

Answers

Answer:

The number is 0.06, or 6 hundredths.

Step-by-step explanation:

If we convert 2 2/5 to a decimal, we get 2.4

Then, we can convert our percentage to a decimal by moving our digits two units down, giving us .025.

Now, we can multiply 2.4 and .025, which gives us 0.06

What is h in h/7.5 = 3.2

Answers

Answer:

24

Step-by-step explanation:

Answer:

24 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Select all of the equations that are equivalent to 3 x − 12 = 19
A 3x-12=19
B 3x=7
C 3x=31
D 3x+31=0
E 5x-12=2x+19
F x-4=(19/3)

Answers

Answer:

X=2

Step-by-step explanation:

x

=

2

Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

add 3x to both sides.

5

x

+

3

x

+

12

=

3

x

+

3

x

4

8

x

+

12

=

4

subtract 12 from both sides.

8

x

+

12

12

=

4

12

8

x

=

16

To solve for x, divide both sides by 8

8

x

8

=

16

8

x

=

2

As a check

Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.

left side  

=

(

5

×

2

)

+

12

=

10

+

12

=

2

right side  

=

(

3

×

2

)

4

=

=

6

4

=

2

x

=

2

is the solution

Answer:

b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19

Arrange these numbers in order from least to greatest.​

Answers

Answer:

1) 0.725.

2) 7/25.

3) 7.5%.

What is the equation of the line that passes through the point (–2, 1) and
has a slope of - 5/2

Answers

Answer:

y = -5/2x + -4 (or) y = -5/2x - 4

Step-by-step explanation:

Your slope is -5/2, so all you have to do is take the point (-2, 1) and use the slope to find a second point of (0, -4) which is coincidentally the y-intercept. Then you just plug the data into the equation y = mx+b. You do that and you get the answer of y = -5/2x+-4

(9+8i)(5-5i) in standard form

Answers



The correct answer hope this helps and Brainliest?

(9+5i)(9+8i)
81+72i + 45i -40
41+ 117i

Answer:

40i²-5i+45

Step-by-step explanation:

(9+8i)(5-5i)9(5-5i)+8i(5-5i)45-45i+40i-40i²45-5i-40i²40i²-5i+45

The Robinsons order pizza for dinner. Their pizza costs $12.99. The tax in their city is 7% and they want to tip their delivery driver 15%. What is their total cost for the pizza? The tip should be based on the price BEFORE tax. Round to the nearest cent.

Answers

Answer:

15.99

Step-by-step explanation:

epic

Answer:

$15.85

Step-by-step explanation:

Took a quiz, and this was the right answer!

NEAR
8 Props
CCleve
PX
tegin
Login
S Scion
slon/a6150PCFID=9dcbaabb 1090-4934-981d-abac9a18f0d88CFTOKEN=0
* Test Session Login
the model given below?
Session Timer: 0:06
How many blocks were in the picture

Answers

Answer:

where is the picture

Step-by-step explanation:

Overdraft protection can be set up to which of the following accounts?

a. Savings account
b. Credit Card
c. A line of credit
d. All of the above

Answers

The answer would be all the above

The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.

What was the average temperature measured by the 3 thermometers?

Answers

Answer:

-15 ÷ 3 = -5

Step-by-step explanation:

If 3 thermometers totaled -15, then they share that value equally.

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