how to dilate with a scale factor of 1/3 with orgin point on graph

Answer:

y= 1/3x + 3

Step-by-step explanation:

If sec(A) = 4/3, then the value cot(A) is [tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

The given trigonometric identity is:

[tex]sec(A)=\frac{4}{3}[/tex].........................(*)

Note that:

[tex]sec(A)=\frac{Hypotenuse}{Adjacent}[/tex].........................(**)

Comparing (*)  and (**)

Hypotenuse = 4

Adjacent = 3

Find the opposite using the Pythagoras theorem

Hypotenuse²  =  Opposite²  +  Adjacent²

4²   =  Opposite²  +  3²

Opposite² = 4²  -  3²

Opposite²  =  16 - 9

Opposite² = 7

Opposite = √7

cot(A) = Adjacent/Opposite

cot(A) = 3/√7

Rationalize the expression

[tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

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Answer

1A=B 1B=tan 2=B 3=A

Step-by-step explanation:

Answer:

a, h and k have values 1, -5 and -10 respectively

Answer:

-45xj-9xk

Step-by-step explanation:

-9x(5j+k)

Multiply -9x with 5j

Multiply -9x with k

-9x times 5j is -45xj

-9x times k is -9xk

So the equivalent expression is

-45xj-9xk

Hope this helps!

Using it's concept, it is found that the probabilities are given as follows:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 400 moviegoers.

From the table, 74 are adults who prefer comedies, hence:

P(C ∩ D) = 74/400 = 0.185.

2 + 48 + 19 + 74 = 143 are adults, while 24 + 64 = 88 are not adults but prefer comedies, hence the "or probability" is given by:

P(C ∪ D) = (143 + 88)/400 = 0.5775.

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Answer:

0.3575

0.405

Step-by-step explanation:

The system of equations that can be used to determine the number of nickels and dimes is:

x + y = 468

0.05x + 0.01y = 34.40

Where:

x = number of nickels

y = number of dimes

The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.

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Answer:

Step-by-step explanation:

Y -.-

Answer:

Point Y is the answer to this

Answer:

3 units

Step-by-step explanation:

I hope it helps you!

Answer:

4x3x2x1=25

Step-by-step explanation:

hope this helps :)

Answer:

with what?

Step-by-step explanation:

Answer:

(-2.5, 0.5)

Step-by-step explanation:

(-4) + (-1) / 2 = -2.5

5 + (-4) / 2 = 0.5

Answer:

-5/2

Step-by-step explanation:

First, you want to get the equation into the Y=mx+b formula, and my m will be the slope of the line.

So in our case, we get Y= -5/2x+3/2 so my slope is -5/2

Answer:

a) 335

b) 344

Step-by-step explanation:

Answer:

130⁰

Step-by-step explanation:

Let,

<Q = x

<R = y

So,

In ∆PQR

2x + 2y + 80 = 180(Sum of all angle in a triangle is 180⁰)

2(x + y) = 180 - 80

2(x + y) = 100

x + y = 100/2

x + y = 50

Now,

In ∆QOR

x + y + QOR = 180(Sum of all angle in a triangle is 180⁰)

50 + QOR = 180

QOR = 180 - 50

QOR = 130⁰

Answer:

x (Fancy Gold fish) = 3

y (Common goldfish) = 29

Step-by-step explanation:

Fancy goldfish x cost $3 each

common goldfish y cost $1 each

Graph: y  = 20 +  3x (I'm hoping this is the correct line equation, please do leave a comment below if it's not)

Thus, we graph it by subtitude either the x or y values. (Or you can use just X = 1,2,3).

Now, to find how many of each type of goldfish Tasha can buy. We subtitude the line equation by either using x = 3 or y = 1

Using either values to solve the equation, we get:

x = 3

y = 29

Hope this helps!

[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

6432)10 = (1100100100000)2

Step-by-step explanation:

Step 1: Divide (6432)10 successively by 2 until the quotient is 0:

6432/2 = 3216, remainder is 0

3216/2 = 1608, remainder is 0

1608/2 = 804, remainder is 0

804/2 = 402, remainder is 0

402/2 = 201, remainder is 0

201/2 = 100, remainder is 1

100/2 = 50, remainder is 0

50/2 = 25, remainder is 0

25/2 = 12, remainder is 1

12/2 = 6, remainder is 0

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).

Hopes that it will help u...☺

[tex]\huge \bf༆ Answer ༄[/tex]

The method to convert the number from Decimal to binary number system is simple ~

Now let's solve the given question ~

Now, write the numbers from bottom to top ~

[tex] \sf{1100100100000}[/tex]

I hope it helps ~

Answer:

x = notebooks

y = indexboks

3x+4y=32 ( here is spent all money so I add 32 here )

5x+5y=50

by elemination method

3x+4y=32×5

5x+5y=50×4 ( here I'm going to eliminate y )

15 x+20y= 160

20x+20y= 200

- - = -

____________

-5x = -40

x = - 40 / -5

x = 8

here - × - = + so iam taking positive 8

now substitute the value of x in any equation

3×8+4y = 32

24 + 4y = 32

4y = 32-24

y = 8 / 4

y = 2

CHECKING

SUBSTITUTE BOTH VALUES IN ANY EQUATION

5×8+5×2 = 50

40 + 10 = 50

50 = 50

I SUBSTITUTE IN 2ND EQUATION

Answer:

(8,2)

Step-by-step explanation:

Given that:

3x + 4y = 32  --------- eq1

5x + 5y = 50 --------- eq2

From taking 5 common from eq2:

x + y = 10

Or it can also be written as:

x = 10 - y ----------eq3

Now put this value of x in eq1

3(10 - y) + 4y = 32

By simplifying:

30 - 3y +4y= 32

30 +y = 32

Subtracting 30 from both sides:

y = 32 - 30

y = 2

Putting value of y in eq 3

x = 10 - 2

x = 8

Answer:

− 3 ( x − 5 ) ( x + 2 ) hope this helps

Step-by-step explanation:

Answer:

− 3 ( x − 5 ) ( x + 2

Step-by-step explanation:

Answer:

w is 22.5°

See solution in the photo

Answer:

22.5⁰

Step-by-step explanation:

<Q = <S = 5w⁰

<R + <S = 180 (Linear pair)

3w + 5w = 180

8w = 180

w = 180/8

w = 22.5⁰

[tex]p(m+qx)=rx+n\\\\\implies pm+pqx = rx+n\\\\\implies pqx-rx = n-pm\\\\\implies x(pq -r) = n-pm\\\\\implies x = \dfrac{n-pm}{pq-r}[/tex]

If 310 is 30% of some number x, then

0.30x = 310

⇒   x = 310/0.30

⇒   x = 310/(3/10)

⇒   x = 310 × 10/3

⇒   x = 3100/3 ≈ 1033.33

Answer:

8×10^5

Step-by-step explanation:

Perimeter= 2( length + width)

= 2(34.5 × 10⁴ + 5.5 × 10⁴)

= 2(40 × 10⁴)

= 80 × 10⁴

= 8 × 10^5 feet

Answer:

a

Step-by-step explanation:

Answer:

1: The tower is around 93 meters tall. 2: The object hit the ground at 6 seconds. 3: 3 seconds to get to about 93 meters up.

Step-by-step explanation:

1: The tower is around 93 meters tall.

2: The object hit the ground at 6 seconds.

3: the time it took to reach that height is 3 seconds to get to about 93 meters up.

Function is a type of relation, or rule, that maps one input to specific single output.

Linear function is a function whose graph is a straight line

1. Since the shot was made from the top of the tower, the starting height of the object (time zero) is equal to the height of the tower.

It represent in the graph by the y-intercept of the function, that is, the value of y when x=0.

The y-intercept is at (0,10) which shows that the height of the tower is 10m

2. The point where the object hit the ground, the height is zero meters, thus

The coordinates of the x-intercept are (6,0)

This shows that the object hit the ground 6 seconds after being shot.

3.The y-coordinate of the vertex shows the highest point of the object, which is 93 meters.

The x-coordinate of the vertex shows the time it took the object to reach said height, which is 2.8 seconds

Learn more about function here:

https://brainly.com/question/2253924

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Answer:

0.85

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

[tex]\huge\color{purple}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex] \frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3} [/tex]

[tex]\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}[/tex]

( a + b ) × ( a - b ) = a² - b²

we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..

we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.

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hope helpful~

Answer:

1 and 3/4

Step-by-step explanation:

7×1/4 (the / symbolizes ÷)

(7×1) ÷4

7/4 ( divide by 4)

=1 and 3/4