What is the slope of a line that is perpendicular to the line joining point A(4, -1) and point B(3, 3)?

Answer:

67.3 degrees

Step-by-step explanation:

Use tan ^-1

tan^-1 (55/23) = 67.3

Given:

The function is:

[tex]f(x)=\sin x[/tex]

The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.

To find:

The effect on the graph of the function.

Solution:

The transformation is defined as

[tex]g(x)=kf(x)+b[/tex]                .... (i)

Where, k is stretch factor and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.  

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:

[tex]g(x)=2f(x)+3[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]k=2[/tex], it means the graph is vertically stretched by a factor of 2.

[tex]b=3[/tex], it means the graph is shifted up 3 units.

Therefore, the correct option is D.

Answer:

D.) The graph is vertically stretched by a factor of 2 and shifted up 3 units

Step-by-step explanation:

best of luck to you all~! You are the best <3

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

Answer:

Use Simple Interest Formula=PrT/100

SI=$1800×5×6/12÷100

=4500/100

=$45

Step-by-step explanation:

$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.

Answer:

I think it's A because 98÷14=7, 63÷9=7, 14÷2=7

Step-by-step explanation:

And all of those can be divided they even get the same numbers when you divide them which is 7.

Answer:

D) Toyota

Step-by-step explanation:

Answer:

Solution given:

volume of pyramid =⅓area of base×height

=⅓*1*1*1=⅓=0.33yd³

the volume of the pyramid

0.33yd³

Answer:

alternate interior, 37 degrees

step-by-step explanation:

these are alternate interior angles and alternate interior angles are always equal :)

Answer:

b^(m-n)

Step-by-step explanation:

Answer:b^m+n

Step-by-step explanation:

Algebra

Make an equation to make the equation equal 12.

[tex]2x - 13 + x + 4 = 12[/tex]

Combine Like-Terms.

Make an equation.

[tex]3x - 9 = 12[/tex]

Add nine to both sides.

[tex]3x = 21[/tex]

Divide both sides by three.

[tex]x = 7[/tex]

Answer:

Not a right triangle.

Step-by-step explanation:

We can tell if it's a right triangle or not by using the Pythagorean Theorem.

The largest value is always the hypotenuse (c).

a² + b² = c²

24² + 70² = 75²

576 + 4900 = 5625

5476 ≠ 5625

The values do not equal one another. Therefore, this triangle is NOT a right triangle.

The required watch showed the correct time at midnight (or 00:00) on the same day.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Let's call the time when the watch showed the correct time "x". We can start by calculating how much time it gained between 8:00 and 16:00:

The watch gained (6 - (-4)) = 10 minutes over a period of 8 hours (from 8:00 to 16:00), so its rate of gain is:

10 minutes / 8 hours = 1.25 minutes per hour

Now, we can set up an equation to solve for x:

x - 8:00 = (x - 16:00) × 1.25

Simplifying this equation, we get:

x - 8:00 = 1.25x - 20

0.25x = 12

x = 48:00 or 00:00 (midnight)

So the watch showed the correct time at midnight (or 00:00) on the same day.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

yes..

Step-by-step explanation:

Ruby lost $45 so she can enter it into her account as this: C. -$45

Answer:

A and C (they are same equation)

x^2-4=0

x^2=4

x can be 2 and -2

2^2=4

-2^2=4

Step-by-step explanation:

prove

b.

x-4=0

X=4 (one solution)

d.

x+4=0

X=-4 (one solution)

Answer:

x = 3

Step-by-step explanation:

4x + 4 = 16

4x = 16 - 4

4x = 12|:4

x = 3

Answer:

4x+4=16

4x=16-4

4x=12

x=3

Answer: [tex]15.3\ \text{units}[/tex]

Step-by-step explanation:

Given

Coordinates of the corners are D(-2,-1), E(3,2), and F(0,4)

Length DE is

[tex]\Rightarrow DE=\sqrt{(2+1)^2+(3+2)^2}\\\Rightarrow DE=\sqrt{(3)^2+(5)^2}\\\Rightarrow DE=\sqrt{34}\ \text{units}[/tex]

Length EF is

[tex]\Rightarrow EF=\sqrt{(4-2)^2+(0-3)^2}\\\Rightarrow EF=\sqrt{(2)^2+(-3)^2}\\\Rightarrow EF=\sqrt{13}\ \text{units}[/tex]

Length FD is

[tex]\Rightarrow FD=\sqrt{(4+1)^2+(0+2)^2}\\\Rightarrow FD=\sqrt{(5)^2+(2)^2}\\\Rightarrow FD=\sqrt{29}\ \text{units}[/tex]

Perimeter of the triangle is

[tex]\Rightarrow DE+EF+FD=\sqrt{34}+\sqrt{17}+\sqrt{29}\\\Rightarrow DE+EF+FD=15.3\ \text{units}[/tex]

Answer:

615.75

Step-by-step explanation:

A=4 times pi times r squared

4 times pi times 49 = 615.752160104

Round it to 615.75

Answer: X > 3

Step-by-step explanation:

You want to subtract 14 on both sides and you will get -3x < -9. Then you divide -3 on both sides -3x/3  > -9/-3 and you should end up with x < 3. Since you divided by the negative number you switch the sign from ">" to "<"

Hope this helps and sorry if it did not.

Answer:

y = 3 + 12x - - - (1)

y = 9 + 10x - - - (2)

3 albums

$39

Step-by-step explanation:

Let number of download = x

Given :

I-moon :

Initial joining fee = $3

Cost per download = $12

Hence,

y = 3 + 12x - - - (1)

I - Toons :

Initial joining fee = $9

Cost per download = $10

y = 9 + 10x - - - (2)

For cost to be the same ;

Equate (1) and (2)

3 + 12x = 9 + 10x

Collect like terms

3 - 9 = 10x - 12x

-6 = - 2x

x = 3

It will take 3 albums

Cost :

3 + 12(3)

3 + 36 = 39

Answer:

Step-by-step explanation:

Since this is a right triangle we will use trig identites and ratios to solve. x first. The side opposite the reference angle of 22 degrees is 6, and the hypotenuse is x. The trig ratio that uses the side opposite over the hypotenuse is the sin ratio:

[tex]sin22=\frac{6}{x}[/tex] and

[tex]x=\frac{6}{sin22}[/tex] so

x = 16.01

Now for y. y is adjacent to the reference angle, and the trig ratio that uses the side opposite over the side adjacent is the tangent ratio:

[tex]tan22=\frac{6}{y}[/tex] and

[tex]y=\frac{6}{tan22}[/tex] so

y = 14.85

Not sure where your rounding needs to be; that part of the instructions is cut off.

9514 1404 393

Answer:

  C.  6x² +20x +30

Step-by-step explanation:

The perimeter of a rectangle is given by the formula ...

  P = 2(L +W)

Substituting the given length and width, you have ...

  P = 2((3x² +7x +9) +(3x +6))

Simplifying gives ...

  P = 2(3x² +10x +15)

  P = 6x² +20x +30

_____

Additional comment

"Standard form" has the terms in order of decreasing exponents. The expression of choice D is equivalent, but is not in standard form.

Answer:

The first one, since that is the only one showing in the screen,

and that is actually correct, since there are no intersecting points.

Answer:

1/3

Step-by-step explanation:

The numbers on a die are 1,2,3,4,5,6

The numbers that are not prime 4,6

P( not prime) = number of numbers that are not prime/ total

                      =2/6  =1/3

Answer:

7/3

Step-by-step explanation:

5/3 + 3/4 *8/9

First multiply

I like to rewrite to simplify

5/3 + (3/9 *8/4)

5/3 + (1/3 * 2/1)

5/3 + 2/3

Add ( they have like denominator)

7/3

Answer:

57.11 m

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and length h is

V = πr²h.  We want to solve this formula for d, the diameter of the cylinder.  

Start by solving the equation V = πr²h for r²:  divide both sides by πh.

                    V

Then r² = -------------

                  πh

                                                                                  51207 m³

Substituting 20  for h and 3.14 for π, we get r² = ------------------   or:

                                                                                   3.14(20 m)

r² = 815.40 m²

Find the radius by taking the square root of both sides of the previous result:

r = 28.56 m

The diameter is twice the radius, and therefore the diameter here

is d = 2(28.56) m = 57.11 m

Answer:

x=3

Step-by-step explanation:

8x-2(x - 5) = x + 25

Distribute

8x -2x+10 = x+25

Combine like terms

6x +10 = x+25

Subtract x from each side

6x-x +10 = x+25-x

5x +10 = 25

Subtract 10 from each side

5x-10+10 =25-10

5x= 15

Divide each side by 5

5x/5 =15/5

x=3

Answer:

A. x = 3

Step-by-step explanation:

8x- 2(x - 5) = x + 25

Using distributive property

8 x - 2 x - 10 = x + 25

combine like terms

6 x - 10 = x + 25

subtract both side from x

6 x - x - 10 = x - x + 25

5 x - 10 = 25

Add 10 to both side

5 x - 10 + 10 = 25 - 10

5 x = 15

Divide both side by 5

5 x / 5 = 15 / 5

x = 3

Answer:

(- 6, 8 )

Step-by-step explanation:

Given the 2 equations

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

x = - 6 → (2)

Substitute x = - 6 into (1) and evaluate for y

y = - [tex]\frac{1}{3}[/tex] × - 6 + 6 = 2 + 6 = 8

solution is (- 6, 8 )

Answer:

Step-by-step explanation:

Answer:

A: 1/8 for the first one    B:7/8

Step-by-step explanation:

1 is shaded and 7 are not