1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
scZoUnD [109]
3 years ago
8

Find the value of 9y +2 given that 2y - 2 =2

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Step-by-step explanation:

2y-2=2

y=2

9y+2

=9(2)+2

=20

You might be interested in
PLEASE HELP!!! Trapezoid ABCD was dilated to create trapezoid A'B'C'D'. Which statements are true about the trapezoids? Check al
hichkok12 [17]

Answer:

Option A , B and D are true.

The statement which are true:

The length of side AD is 4 units

The length of side A'D' is 8 units.

The scale factor is, \frac{1}{2}

Step-by-step explanation:

Given in figure trapezoid ABCD;

The coordinates of ABCD are:

A= (-4, 0)

B = (-2, 4)

C = (2,4)

D = (4, 0)

Since, trapezoid ABCD was dilated to create trapezoid A'B'C'D' as shown in figure;

The coordinates of A'B'C'D' are;

A' =(-2, 0)

B'=(-1, 2)

C' = (1, 2)

D' = (2, 0)

First calculate the length of AD

Using Distance formula for any two points i.e,

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Since, A = (-4, 0) and D = (4, 0)

then;

Length of AD =  \sqrt{(4-(-4))^2+(0-0)^2}  = \sqrt{(4+4)^2} =\sqrt{64}=8 units

Therefore, the length of side AD is, 8 units.

Similarly find the length of A'D'.

Where A' = (-2, 0) and D' =(2,0)

Using distance formula:

Length of A'D' = \sqrt{(2-(-2))^2+(0-0)^2} =\sqrt{(2+2)^2}= \sqrt{4^2} = 4

Therefore, the length of side A'D' is, 4 units.

Now, find the slope of CD and C'D'

where C =(2, 4) , D = (4, 0) , C' = (1, 2) and D' =(2,0)

using slope formula for any two points is given by:

Slope = \frac{y_2-y_1}{x_2-x_1}

Slope of CD = \frac{0-4}{4-2} = \frac{-4}{2} = -2

Similarly,

Slope of C'D' = \frac{0-2}{2-1} = \frac{-4}{2} = -2

Since, Sides CD and C'D' have same slope i.e, -2

Scale factor(k) states that every coordinate of the original figure has been multiplied by the scale factor.

  • If k > 1, then the  image is an enlargement.
  • if 0<k< 1, then the image is a reduction.
  • If k = 1, then the figure and the image are congruent.

The rule for dilation with scale factor(k) is;

(x, y) \rightarrow (kx , ky)

To find the scale factor:

A = (-4, 0) and A' = (-2, 0)

(-2, 0) \rightarrow (-4k , 0)

On comparing we ghet;

-4k = -2

Divide -4 both sides we get;

k = \frac{1}{2}

∴ The Scale factor is, k = \frac{1}{2}

Since, k < 1 which implies the image is a reduction.

Therefore, the statements which are true regarding about trapezoids are;

The length of side AD is 4 units

The length of side A'D' is 8 units.

The scale factor is, \frac{1}{2}

6 0
3 years ago
A volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model th
kykrilka [37]
If it reaches its maximum height a t=3 its velocity must be zero at t=3

dy/dx=0 at t=3

dA/dx=4x+12=24 at t=3 so this does not apply

dB/dx=-4x+12=0 at t=3 and B=13 at t=3 so B applies

dC/dx=-4x-12=-24 at t=3 so this does not apply

dD/dx=-4x-12=-24 at t=3 so this does not apply

dE/dx=-4x-12=-24 at t=3 so this does not apply

So only quadratic B: reaches a maximum height of 13 feet at 3 seconds.
3 0
3 years ago
Read 2 more answers
Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs
Agata [3.3K]

Answer:

25 Months

Step-by-step explanation:

Let's make the equations first,

Plan A: 70x   Plan B: 50x+500...

Now we make it into an equivalent equation:

70x=50x+500...

Then we solve:

70x=50x+500-50x -50x20x=500...

÷20 ÷20x=25...

To check if it's correct, we just plug it in:

70(25)=50(25)+500...

1750=1750...

Brainliest Answer please? Hope this helps! Good luck!

8 0
3 years ago
Determine if this data is an example
tankabanditka [31]

Answer:

Step-by-step explanation:

it is not a function because -2 has two y values

6 0
3 years ago
I neep help asap deadline 4:00pm
shutvik [7]

Answer: B each charm costs 15 dollars

Step-by-step explanation: because each money increment is 15$ so the answer is $15

~Brainliest would be appreciated

5 0
3 years ago
Other questions:
  • PLEASE HELP ME ON THIS....<br> thx
    14·1 answer
  • A water pitcher weighs 1.72 kg when empty and 2.01 kg when filled with water. How much does the water weigh?
    11·1 answer
  • 5629 of the 28596 people are female. work out the number of males
    14·1 answer
  • √98 divided √18 equals what?
    15·1 answer
  • Assume that you set aside $500 per year, and invest that money over the next five years in an account earning 6%. What is the am
    11·1 answer
  • 9q − 6q − 2q = 18 solve for q
    13·1 answer
  • Find the IQR of this following dataset.<br> 3, 6, 3, 8, 6, 3, 9, 6, 3, 5, 6, 3, 7
    8·2 answers
  • What’s the answer to this question?
    5·1 answer
  • (5x -3) + (7 -x) what’s the answer guys
    5·2 answers
  • 2x+5y=50<br><br> Solve for x and then solve for y
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!