how to find the equation of a line that is parallel and passes through a point

Answers

Answer 1

Answer:

Step-by-step explanation:

Parallel line have the same slope.  Put the reference line is y=mx+b format.  m will be the slope.  A parallel line must have the same m.  Example:

y=2x+5 has a slope of 2 and a y-intercept of 5 (the value of y when x is 0).  Any line witrh the same slope will be parallel.  So with can write y=2x+b, where we'll change the y-interecpt so the the lines don't overlap.  Once we know the parallel line must be y = 2x+b, we can enter the known point, e.g., (3,14), and calculate b:

y=2x+b

14=2*3+b

14=6+b

b=8

The parallel line to y=2x+5 is y=2x+8:  It is parallel and goes through the point (3,14).

How To Find The Equation Of A Line That Is Parallel And Passes Through A Point

Related Questions

What is the product?
(4x) {-3x^8}{-7x^3}

Answers

Answer:

[tex]84x^{12}[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex](4x)( - {3x}^{8} )( - {7x}^{3} ) \\ (4 \times - 3 \times - 7)( {x}^{} \times {x}^{8} \times {x}^{3} ) \\ (81)( {x}^{ 1 + 8 + 3} ) \\ 81 {x}^{12} [/tex]

What is the value of x in the equation 3(4x - 6) - 2x + 1 = 3 - (3x - 6)?
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.

Answers

Answer:

x = 2

So the value of x is 2

Which graph shows the solutions to |x − 2| = 2 ?

Answers

Answer:

I think that the answer is B.

Step-by-step explanation:

go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.

Last year, Robert grew 3 1/3 inches and his brother grew 1 2/3 inches. How much more did Robert grow than his brother?

Answers

The answer to the question is Robert grew 1 2/3 inch taller that his brother

When it says "how much more", it means to find the difference between the siblings' growth by subtracting their growths.

Step 1: Convert both mixed numbers to improper fractions

[tex]3\frac{1}{3}- 1\frac{2}{3}[/tex] Learn how to do that here: https://brainly.com/question/13099965

[tex]3\frac{1}{3}\\\\3\times3=9\\9+1=10\\\\\frac{10}{3}[/tex]

[tex]1\frac{2}{3}\\\\3\times 1 = 3\\3 + 2 = 5\\\\\frac{5}{3}[/tex]

[tex]\frac{10}{3} - \frac{5}{3}[/tex]

Step 2: Subtract

10 - 5 = 5

[tex]\frac{5}{3}[/tex] or [tex]\bold {1\frac{2}{3}}[/tex]

Therefore, Robert grew [tex]\bold {1\frac{2}{3}}[/tex] more than his brother.

What is the value of x?
x= 21
x = 28
x= 35
x= 37

Answers

x= 37

you would always start off by 3x+4=15

Two numbers are in the ratio 7: 4 . If they differ by 15 ,the numbers are​

Answers

Let the numbers be 7x and 4x resp.
Also
According to question
7x -4x =15
3x=15
X=15/3
X=5
So the numbers are
7x = 7 *5 =35
4x= 4*5=20

Lets take 7:4 be 7x and 4x

7x - 4x = 15

3x = 15

x = 5

______________________________

7x = 7 × 5 = 35

4x = 4 × 5 = 20

what is 20/25 as a percent

Answers

Answer:

80%

Step-by-step explanation:

helpppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

12/12=1

2.5/2.5=1

5/_=1

mysterty number is 5

5.5./_=1

mystery number is 5

Step-by-step explanation:

Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?

Answers

The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68

The following information can be gotten from the question:

Total amount spent on e-books and paperback = $68

Cost of e-book = $5 each.

Cost of paperback = $12 each

Number of e-books = x

Number of paperbacks = y

Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:

= 5(x) + 12(y) = 68

5x + 12y = 68

The equation will be 5x + 12y = 68

Read related link on:

https://brainly.com/question/25212173

-11-10-9
show steps for your answer

Answers

Answer:

-11-10=-21

-21-9= -30

someone buys a chair in sale for 435.60 dollars. its is a reduction of 12% from the the original price. what is the original price... the amswer is 495 dollars but i need someone to explain it​

Answers

100%=(435.60÷88)x100

which is 495.

Answer:

Step-by-step explanation:

435,60:12%

Solve for x.

X +1/2=3/4

O X = - 1/2
O X = 1/2
O X = -1/4
O X = 1/4​

Answers

Answer is 1/4
Hope this helps :)
Tell me if I’m wrong
X= 1/4, the last one

p(x) = 4x
i need the linear function, and how to graph it

Answers

Step-by-step explanation:

well, that's the graph. I hope it helps.

x can be any number, just substitute the value of x chosen into the linear function and get the corresponding p(x) value

like, say x=2, p(x)=4(2)=8. locate the points (2,8) on the graph paper and mark them. continue to do this for more values of x.


During the All Stars Skills competition, a puck was launched through the air at a
speed of 41 km/h from a height of 2.5 cm. The algebraic model of the path of the
puck is defined by h = -4.9+ + 41t +0.025, where h represents height in cm and t
represents time in seconds.

1.Construct a table of values for the first 10 seconds of the puck's movement.
Round to 0 decimal places.

2.Using graph paper, graph the data points. Join with a smooth curve. Scan your
graph.

3.Approximately how long before the puck will hit the ice?

4.For what values of time is the height invalid?

Answers

Answer:

put it in desmos and turn it into table

A school had 180 boys and 240 girls attending

(a) What is the ratio of boys to girls?
(b) What is the ratio of girls to boys?
(c) What is the ratio of students to boys?
(d) What is the ratio of girls to students?

Answers

Answer:

a. ratio is 180:240

B. ratio is 240:180

C. ratio is 420:180

d. ratio is 240:420

Hope this helps!!

P=[−3610−4] , Q=[−2571] , R=[4−20813]

Given the three matrices above, evaluate P+Q.

P+Q=[acbd]. Find the values of a, b, c, and d.

Answers

Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]

The values of a, b, c and d is determined by the addition of matrices P and Q, that is:

[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

We have that the matrices are:

[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]

[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]

Then:

[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]

Finally:

[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

Thus, the values are:

[tex]a = -5, b = 8, c = 11, d = -3[/tex]

A similar problem is given at https://brainly.com/question/24810141

if maria earned $60 in interest over a 4 year period at a 4% simple annual interest how much did she originally deposit in savings

Answers

formula for interest=principle×rate×time/100

60=x×4×4/100

60=16x/100

16x=6000

x=375

Answer:

C. $375

Step-by-step explanation:

Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1​]​

Answers

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Can someone help me?

Answers

Answer:

I'm not sure from my answer but I'm going to try

A =  { a^2  -  4  = 0 }

A = { a^2  = 0+ 4 }

A = { a^2  = 4}

Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

C = { 1, 2, 3, 4, 5, 6,7}

i) A\B

= {2} \ {-2,-1,0,1,2}

= ⌀ ( "null set" )

ii) (A\B) \C

= ( {2} \ {-2,-1,0,1,2} ) \ C

= ⌀ \ C

= ⌀ \ { 1, 2, 3, 4, 5, 6,7}

= ⌀ ( "null set" )

iii) (A ∪ B) \ C

= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C

= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

= (  { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )

= ⌀ ∩ ⌀

= ⌀

v) ( A ∩ B ) \ C

= ( { 2 }  ∩  { -2, -1, 0, 1, 2 } ) \ C

= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }

= ⌀ "null set"

Write a linear equation that passes through pairs would be perpendicular to the equation the point (2, -9) and has a slope of -5 in y = 4x - 1?

Answers

A A equation that’s perpindicular to y = 4x - 1 and passes through the point (2, -9) is…

Answer: y = -3/4x - 15/2

Explanation: Opposite reciprocal slopes and plug in -9 with y and 2 with x then solve for b

-9 = -1.5 + x

x = -15/2

where will the hand of a clock stop if it start at 2 and make 1 by 4 of a Revolution clockwise​

Answers

Answer:

At 5 o'clock

Step-by-step explanation:

Staring point = 2 o'clock

The travel is 1/4 of 12 hour full revolution:

1/4*12 = 3 hours

Point to stop is the start point plus the travel:

2 + 3 = 5

refer to the attachment


Matt está jugando en un juego gana 7 puntos pierde 10 puntos luego vuelve a ganar 2 puntos y luego pierde 8 puntos Cuál es su puntuación final ?​

Answers

Answer:

La respuesta es 3.

Step-by-step explanation: así que básicamente sus puntos finales son 3.


A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.
a.show that it’s height h cm is given by h =300- pi r /pi r

Answers

Answer:

Note:  The expression "h =300- pi r /pi r" would equate to 299, as written.  I find h = (300 - π[tex]r^{2}[/tex] )/πr to be the equation for height.

Step-by-step explanation:

The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius.  That consists of top and bottom disks, each with an area of π[tex]r^{2}[/tex], for a total of 2π[tex]r^{2}[/tex].  The side is a  continous sheet that has an area of 2πrh, where h is the height.  2πr is the circumference of the can, so the surface area of the side is 2πrh.

The total surace area of a closed cylinder is therefore 2π[tex]r^{2}[/tex] + 2πrh.

2π[tex]r^{2}[/tex] + 2πrh = 600

π[tex]r^{2}[/tex] + πrh = 300

πrh = 300 - π[tex]r^{2}[/tex]

h = (300 - π[tex]r^{2}[/tex] )/πr

how many millimeters (mm) are found in each centimeter (cm) on a ruler?

Answers

1000 millimeters are found in centimeters

a cheetah ran 300ft in 2.92 sec what was the average speed in mph

Answers

Answer:

70.05 mph

Step-by-step explanation:

A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour

--------------------------------------

(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)

= {300*1*3600 miles)/(2.92*5280*1 hour)

 

= 91080000 miles/15417.6 hours

= 70.05 mph

By which rule are these triangles congruent

A. AAS
B. ASA
C. SAS
D. SSS

Answers

Answer:

option D

Step-by-step explanation:

this trianle will be congurent by SSS method easily

Answer:

Option D.SSS These triangles congruent with SSS property


28. Katrina buys a 64-ft roll of fencing to
make a rectangular play area for her dogs.
Use 2(1 + w) = 64 to write a function for the
length, given the width. Graph the function.
What is a reasonable domain for the situation?
Explain.

Answers

Answer:

Step-by-step explanation:

The reasonable domain for the function 2 ( l + w ) = 64 is:

5, 10, 15, 20, and 25

The graph of the function 2 ( l + w ) = 64 is given below.

What is a function?

A function is defined as a relation between a set of inputs having one output each.

We have,

A function of the perimeter of a rectangle:

2 ( l + w ) = 64

Here,

l = length and w = width

We need to find the value of length and width such that the perimeter of the rectangle is 64.

Now,

2 ( l + w ) = 64

l + w = 32

This means the combined measure of length and width must give us 32.

We need to write as a function for length where width is given.

We can assume the width to be: 5, 10, 15, 20, and 25.

Now,

l + 5 = 32

l = 27

l + 10 = 32

l = 22

l + 15 = 32

l = 17

l + 20 = 32

l = 12

l + 25 = 32

l = 7

We consider,

Width = 5, 10, 15, 20, and 25 to be the domain.

Length = 27, 22, 17, 12, and 7 to be the range.

We consider width values as the x-axis and length values as the y-axis.

The graph is given below.

Thus the reasonable domain for the situation given above is:

5, 10, 15, 20, and 25

The graph of the function 2 ( l + w ) = 64 is given below.

Learn more about functions here:

https://brainly.com/question/28135761

#SPJ5

Area of sector is to
as arc measure is to 360 degrees.

diameter
circle area
semicircle
circumference of circle

Answers

Answer:

circle area

Step-by-step explanation:

A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.

The area of a sector is to the circle area

How to complete the blank?

The area of a circle is:

[tex]A = \pi r^2[/tex]

The area of a sector is:

[tex]a = \frac{\theta}{360} * \pi r^2[/tex]

Substitute [tex]A = \pi r^2[/tex] in the above equation

[tex]a = \frac{\theta}{360} * A[/tex]

The above means that the area of a sector is a fraction of the circle area

Hence, the area of a sector is to the circle area

Read more about sector and circle at:

https://brainly.com/question/16736105

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Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?

Answers

Answer:

41 inches of wire will cost 164 cents.

Step-by-step explanation:

1st Method

Use proportions!

18/ 72 = 41/ c

Cross multiply

18 * c = 72 * 41

18c = 2952 divide both sides by 18

c = 164

2nd Method.

Find the rate of the costs. r = rate

18*r = 72

r = 4 cents/inch

Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!

41 inch * r (cents/inch)          inches cancels out.

41 * 4 = 164

164 cents

precalculus question please help

Answers

Answer:

It is the 1st one x=6, y=2

Step-by-step explanation:

you find this out by comparing the degrees in the numerator and the denominator. Have a nice day!!!

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