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

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"

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.

Answer:

Step-by-step explanation:

Staring point = 2 o'clock

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

Point to stop is the start point plus the travel:

refer to the attachment

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

100%=(435.60÷88)x100

which is 495.

Answer:

Step-by-step explanation:

435,60:12%

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

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

[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]

Lets take 7:4 be 7x and 4x

7x - 4x = 15

3x = 15

x = 5

______________________________

7x = 7 × 5 = 35

4x = 4 × 5 = 20

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.

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:

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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

Answer:

put it in desmos and turn it into table

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!!!

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

Answer:

a. ratio is 180:240

B. ratio is 240:180

C. ratio is 420:180

d. ratio is 240:420

Hope this helps!!

1000 millimeters are found in centimeters

Answer:

80%

Step-by-step explanation:

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

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:

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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:

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:

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

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.

Answer:

-11-10=-21

-21-9= -30

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]

Answer:

La respuesta es 3.

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

Answer:

x = 2

So the value of x is 2

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.

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