HELP ME OUT! Triangle ABC is transformed by a rotation about the
origin, and then a translation.
The first transformation is a rotation of
degrees.
The second transformation is a translation that moves
units left and
units down.

Step-by-step explanation:

8x-4y-2z

I think the question is incomplete

Answer:

180 minutes of calls

Step-by-step explanation:

Let x represent the minutes of calls

The first plan's cost can be represented by 0.08x + 17

The second plan can be represented by 0.13x + 8

Set them equal to each other and solve for x:

0.08x + 17 = 0.13x + 8

17 = 0.05x + 8

9 = 0.05x

180 = x

So, it will take 180 minutes of calls for the plans to be equal.

Answer:

Both diagrams describe the representation of an object in space.

Step-by-step explanation:

1. The first diagram is a 2-dimensional plane in space.

2. it has two axes, the x-axis and y-axis, which is the length and width of the plane.

3. Both axes are perpendicular to each other.

4. The second diagram is a 3-dimensional plane with axis x, y and z representing the width, length and height of the plane respectively.

5. All three axes are perpendicular to each other like in the 2-dimensional plane.

Answer:

(9, 9)

Step-by-step explanation:

midpoint of (-4,15) and (22,3)

[tex] = \bigg( \frac{ - 4 + 22}{2}, \: \: \frac{15 + 3}{2} \bigg) \\ \\ = \bigg( \frac{18}{2}, \: \: \frac{18}{2} \bigg) \\ \\ = ( 9, \: \: 9) \\ \\ [/tex]

Answer:

[tex]1 \rightarrow E, 2\rightarrow B, 3\rightarrow C, 4\rightarrow D, 5\rightarrow A[/tex]

Step-by-step explanation:

1.     [tex]\frac{d^2y}{dx^2}+25y=0[/tex]

    The characteristic equation for the given differential equation is:

        [tex]r^{2} +25=0[/tex]

    [tex]\Rightarrow r^2=-25[/tex]

    [tex]\Rightarrow r=\pm 5i[/tex]

   Since the roots are complex

Now, the general solution is:

 [tex]y=A\cos 5x+B\sin 5x[/tex]

2.    [tex]\frac{dy}{dx}=\frac {2xy}{x^2}-5y^2[/tex]

     [tex]\Rightarrow \frac{dy}{dx}-\frac 2xy=-5y^2[/tex]

  Divide both sides by [tex]y^{-1}[/tex]

  Let, [tex]v=y^{-1} \Rightarrow \frac{dv}{dx}=-y^{-2}\frac{dy}{dx}[/tex]

    [tex]\Rightarrow -\frac{dv}{dx}-\frac 2xv=-5[/tex]

    [tex]\Rightarrow \frac{dv}{dx}+\frac 2xv=5[/tex]

 Here, [tex]p(x)=\frac 2x\; \text{and}\;\; q(x)=5[/tex]

 I.F. [tex]=e^{\int \frac 2xdx}=x^2[/tex]

 Now, the general solution is:

    [tex]vx^2=\int x^2 5dx=\frac {5x^3}3+c[/tex]

      [tex]\Rightarrow \frac {x^2}y-\frac {5x^3}3=c[/tex]

      [tex]\Rightarrow 3x^2-5x^3y=Cy[/tex]

3.     [tex]\frac{d^2y}{dx^2}+16\frac{dy}{dx}+64y=0[/tex]

   The characteristic equation is:

     [tex]r^2+16r+64=0[/tex]

  [tex]\Rightarrow r^2+8r+8r+64=0[/tex]

  [tex]\Rightarrow r(r+8)+8(r+8)=0[/tex]

  [tex]\Rightarrow (r+8)(r+8)=0[/tex]

  [tex]\Rightarrow r=-8,-8[/tex]

 Since the roots are real and repeated.

 Now, the general solution is:

 [tex]y=Ae^{-8x}+Bxe^{-8x}[/tex]

4.    [tex]\frac {dy}{dx}=10xy[/tex]

   [tex]\Rightarrow \frac {dy}{y}=10xdx[/tex]

 Integrating both sides

     [tex]\int\frac {dy}y=\int 10xdx+\log c[/tex]

   [tex]\Rightarrow \log y=5x^2+\log c[/tex]

   [tex]\Rightarrow y=e^{5x^2}+c[/tex]

5.      [tex]\frac {dy}{dx}+24x^2y=24x^2[/tex]

      Here, [tex]p(x)=24x^2 \; \text{and}\;\; q(x)=24x^2[/tex]

  I.F.[tex]= e^{\int 24x^2dx}=e^{8x^3}[/tex]

  Now, the general solution is:

     [tex]y.e^{8x^3}=\int 24x^2 e^{8x^3}dx=24\int x^2e^{8x^3}dx[/tex]

               Let, [tex]8x^3=t \Rightarrow 24x^2dx=dt\Rightarrow x^2dx=\frac {dt}{24}[/tex]

   [tex]\Rightarrow ye^{8x^3}=\int e^tdt[/tex]

   [tex]\Rightarrow ye^{8x^3}=e^{8x^3}+c[/tex]

   [tex]\Rightarrow y=1+ce^{-8x^3}[/tex]

Answer:

y = 2x + 7

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

We are only focusing on the line of best fit.

Step 1: Find 2 coordinates

(0, 7) y-intercept

(2, 11) random

Step 2: Find slope m

m = (11 - 7)/(2 - 0)

m = 4/2

m = 2

y = 2x + b

Step 3: Rewrite linear equation

y = 2x + 7

Answer:

y = 2x + 7

Step-by-step explanation:

Answer:

(8, 2)

Step-by-step explanation:

(x, y)=(6, -1)

(x1+x2)/2=6

(y1+y2)/2=-1

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

(4+x2)/2=6

4+x2=6*2

4+x2=12

x2=12-4

x2=8

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

(-4+y2)/2=-1

-4+y2=-1*2

-4+y2=-2

y2=-2-(-4)

y2=-2+4

y2=2

(x2, y2)=(8, 2)

Answer:

2.75

Step-by-step explanation:

11/4 = 2.75

Hoped I helped

Answer:

When we do a scale model of something (like a building, a house, or whatever) al the properties of the original thing must also be in the model.

So for example, you want to do a model of a house, and in the backyard of the house there are 4 trees, then in the model of the house you also need to put 4 trees in the backyard (indifferent of the scale of the model).

Then the number of boulders in the really fountain should be the same as the number of boulders in the scale model of the fountain.

Answer:

c. 10

Step-by-step explanation:

i just took the test

Answer:

-5x + 4y = -11.

Step-by-step explanation:

If it's a circle then it must be x^2 not x.

x^2 + y^2 + 4x - 10y = 12

Using implicit differentiation:

2x + 2y y' + 4 - 10 y' = 0

y'( 2y - 10) = -2x - 4

y' = (-2x - 4)/(2y - 10)

y' = (-x - 2) / (y - 5) = the slope of the tangent.

At  (3, 1),  y' = (-3-2) / (1 - 5)

=  5/4.

So the required equation is

y - y1 = 5/4(x - x1)  where x1 = 3 and y1 = 1.

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

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

Multiply through by 4:

4y = 5(x - 3) + 4

4y = 5x - 15 + 4

In standard form the equation is:

-5x + 4y = -11.

Answer:

V/2 - 21 = -15

V/2 - 21 + 21 = -15 + 21

V/2 + 0 = 6

V/2 * 2 = 6 * 2

V = 12

Step-by-step explanation:

y = 18800 (1 − 0.05)ˣ

y = 18800 (0.95)ˣ

y = 18800 (0.95)⁹

y = 11849

Answer:

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a given line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-9, -5) and (-1, -9)

The midpoint M is

We have the final answer as

Hope this helps you

Answer:

Slope= 2

Step-by-step explanation:

To calculate the slope of a line containing the two points on a coordinate plain, the below formula is used.

Slope = (y2-y1)/(x2-x1)

Y2= 6

Y1= 0

X2=10

X1= 7

Slope = (y2-y1)/(x2-x1)

Slope=(6-0)/(10-7)

Slope= 6/3

Slope= 2

Answer:

[tex]\lim_{x \to 2^{+}} f(x) = 2[/tex]

None of the above.

Step-by-step explanation:

f(x) = [x], in the graphing calculator, is f(x) = int(x).

This means we take the floor of x, or round down all the time.

The question is asking us to find the limit as x approaches 2 from the right. Since the graph from [2, 3) is going to be y = 2, we know that if we are approaching from the right of x → 2, we will approach y = 2 (shown in graph).

If we were to approach x → 2 from the left, then we would approach y = 1 (shown in graph).

If we were to approach from both the left and the right, then we would get DNE.

just finished this question the answers: D / 14

The value of x could be 8<x<12.

According to the Triangle Inequality Theorem, any two triangle sides must add up to more than the third side's length.

Using Triangle Inequality

x+ x+4 > 20

2x+ 4 >20

2x > 16

x> 8

The angle across from the side with length 20 is the largest angle because it is the longest side length.

Therefore, x must be less than the value(s) that make that angle exactly 90 degrees. Simply determine the values of x for angles that are 90 degrees from the side with a length of 20.

Using Pythagorean theorem

x²+ (x+4)² = 20²

x² + x² +16 +8x = 400

2x² + 8x - 384= 0

x²+ 4x -192= 0

x= -16, 12

So, x has to be less than 12 i.e.,  x < 12

Hence, the value of x could be 8<x<12.

Learn more about Triangle Inequality theorem here:

https://brainly.com/question/15314881

#SPJ6

Answer:

this might help you....

Answer:

See below.

Step-by-step explanation:

In the figure above, ∠WXY and ∠YXZ are a linear pair.

A Linear Pair is 2 angles that are adjacent, and form a straight line when combined. A Linear Pair contains 2 Supplementary Angles, angles that add up to 180°.

Their measures add up to 180°.

In order to find y, because they're a linear pair, we can set up an equation with the 2 angles equal to 180°.

[tex]4y+6y+30=180[/tex]

Combine Like Terms:

[tex]10y+30=180[/tex]

Subtract 30 from Both Sides:

[tex]10y=150[/tex]

Divide by 10:

[tex]\frac{10y}{10} = \frac{150}{10} \\y = 15.[/tex]

The value of y is 15.

Now since we know the value of y, we can substitute 15 into each angle to find their measure.

Substitute:

[tex]4(15)=60\\6(15)+30=120[/tex]

The measure of ∠WXY is 60° and the measure of ∠YXZ is 120°.

Answer:

8770 feet

Step-by-step explanation:

Add 370 to 8400:

8400 - 370

= 8770 feet

2+2 = 4

▶Add 2 to 2 , you may count it with your fingers.

This are for beginners ✔

Answer:

The answer, my man, is 4.

Explanation:

2+2-2*2/2=2

Or... 2 plus 2 minus 2 times 2 divided by 2 equals 2.

A more complex way of doing this is: 2+2=4

Hopefully, this helps! :D

Answer:

 15[tex]x^{2}[/tex][tex]\sqrt{6}[/tex]

Step-by-step explanation:

√1350x^4= √2*5*5*3*3*3x^4 = 5*3x^2√2*3 =5[tex]x^{2}[/tex][tex]\sqrt{6}[/tex]

Answer:

8 hours

Step-by-step explanation:

$1,300/$32.50 = 40

$1,040/$32.50 = 32

40-32=8

Answer:

8 hours

Step-by-step explanation:

First, find the difference in the money

1300-1040=260

Then divide by 32.5

260/32.5=2600/325

8

So he worked for 8 more hours

Answer:

15 nickels and 8 dimes

Step-by-step explanation:

Create a system of equations where d is the number of dimes and n is the number of nickels:

0.1d + 0.05n = 1.55

n = d + 7

Solve with substitution by plugging in d + 7 as n:

0.1d + 0.05(d + 7) = 1.55

0.1d + 0.05d + 0.35= 1.55

0.15d + 0.35 = 1.55

0.15d= 1.2

d = 8

Plug in 8 as d to find n:

n = d + 7

n = 8 + 7

n = 15

So, there are 15 nickels and 8 dimes

Answer:

P (m=6)= 0.60

Marginal probability of y=  0.4 , 0.2 and 0.4

Marginal probability of x= 0.1  0.3 and 0.6

Step-by-step explanation:

The data given is

     X      2             4              6    

      2     0.04       0.02         0.04

y     4     0.12        0.06         0.12

     6      0.24      0.12          0.24

So the maximum value  M= max (X Y) is  (2,6) (6,4)(6,6)

We pick the larger value for each of the two observations

P (m=6) = 0.24+ 0.12+  0.24= 0.60

  X      2             4              6             Marginal

      2     0.04       0.02         0.04      0.1

y     4     0.12        0.06         0.12       0.3

      6      0.24      0.12          0.24      0.6

M.            0.4       0.2            0.4          1

The total is always equal to 1 .

X and Y are independent as the product of the marginal probability gives the joint probability.

We find the marginal probability by adding the rows and columns and then check if their product equal the given joint distribution which is true.

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Rewriting what is given: (0.09)(n)=30

Where n is the unknown number and 0.09 is the numerical form of 9%. Solving for n gives:

n=(30/0.09)=333.333....

27% as a number is 0.27. So 27% of n is:

(0.27)(n)=(0.27)(333.333...)=90

27% of that number is 90.

Answer:

y = -14x - 80

Step-by-step explanation:

jst did it and i got it right

The equation of the line passing through the points (−6,4) and (−5,−10) is y = -14x - 80.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line through the points (−6,4) and (−5,−10).

(y + 10) = (-10-4)/(-5+6)[x + 5]

y + 10 = -14(x + 5)

y + 10 = -14x - 70

y = -14x - 80

Thus, the equation of the line passing through the points (−6,4) and (−5,−10) is y = -14x - 80.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

Answer: 39

Step-by-step explanation:

x(z+3)+1+3-y

plug in the values given for each variable

6(2+3)+1+3-(-5)

use pemdas to solve

6(5)+1+3+5

30+1+3+5

31+8

39

Answer: 39

Step-by-step explanation:

Given: x=6, y=-5, z=2

To solve this problem, plug all the variables in.

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

 x(z+3)+1+3-y

Plug in

=(6)[(2)+3]+1+3-(-5)

Take off parentheses

=6(2+3)+1+3+5

Add 2 and 3, and also add 1 and 3

=6(5)+4+5

Multiply 6 and 5, and add 4 and 5

=30+9

Add 30 and 9

=39

Hope this helps!! :)

Please let me know if you have any question

24. 1st one

Step-by-step explanation:

the X cancals out the x leaving the z so it is the 1st one

Answer:

24. [tex]-\frac{3}{2} z[/tex]

25. 6

Step-by-step explanation:

For number 24:

To simplify this down, we can break it up into this:

[tex]\frac{3}{-2} \cdot \frac{x}{x} \cdot \frac{z}{1}[/tex]

3 divided by -2 is [tex]-\frac{3}{2}[/tex], x over x is just 1, and z over 1 is z.

So [tex]-\frac{3}{2} z[/tex].

For number 25:

If we know the value of y and z we can just substitute inside the equation.

[tex]\frac{-18}{-3}[/tex]

A negative divided by a negative is the same as a positive over a positive.

[tex]18\div3=6[/tex]

Hope this helped!