Find the height of the parallelogram shown below, if the area is 2115.
45
?
51

Answer:

Factoring 3x2 - 2x - 1

The first term is, 3x2 its coefficient is 3 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .

-3 + 1 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1

3x2 - 3x + 1x - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-1)

Add up the last 2 terms, pulling out common factors :

1 • (x-1)

Step-5 : Add up the four terms of step 4 :

(3x+1) • (x-1)

Which is the desired factorization

Final result :

5xy2 • (x - 1) • (3x + 1)

Answer:

a) 0.80

b) 0.72

c) 0.02

Step-by-step explanation:

It is assumed that

X = Bit transmitted

Y = Bit received

[tex]X^{0}[/tex] = Transmissted bit is 0

[tex]X^{1}[/tex] = Transmissted bit is 1

[tex]Y^{0}[/tex] = Received bit is 0

[tex]Y^{1}[/tex] = Received bit is 1

As per the given condition

P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 90%

P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] = 100% - 90% = 10%

P [ [tex]Y^{1}[/tex] | [tex]X^{1}[/tex] ] = 74%

P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 100% - 74% = 26%

P [ Tramitted bits are 0 ] = 80%

Now calculate each situation

a)

As all the transmitted bits are o has possibilit of 80% then

P [ X = 0 ] = P [ [tex]X^{0}[/tex] ] = 80% = 0.80

b)

P [ X = 0, Y = 0 ] = P [ [tex]X^{0}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] x P [ [tex]X^{0}[/tex] ]  = 90% x 80% = 72% = 0.72

c)

P [ X = 1, Y = 0 ] = P [ [tex]X^{1}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] x P [ [tex]X^{1}[/tex] ]  = 10% x ( 100% - 80% ) = 10% x 20% = 2% = 0.02

Answer:

2y - 25 = 19

2y = 19 + 25

2y = 44

y = 44 / 2

y = 22

Hope it helps

Answer:

Given function:

a)

Find x when p(t) = 200:

b)

Find p(t) when t = 4:

Answer:

Length of PN = 26.65 ft (Approx.)

Step-by-step explanation:

Given:

In ΔNOP

∠ P = 90°

∠ N = 26°

OP = 13 ft

Find:

Length of PN

Computation:

using trigonometry application

Tan 26 = 13 / PN

0.4877 = 13 / PN

Length of PN = 26.65 ft (Approx.)

Answer:

Redding East Rotary donates 120 holiday baskets every year. ... Frank was $50 proud. ... Please turn in your tickets and money to Bill Evanhoe directly this year. ... The door prize of $20 to San Francisco Deli was won by Carla Barrett. ... The Duck Derby has raised $3,515,000 and if you put all those ducks end to end they ...

Step-by-step explanation:

Step-by-step explanation:

The given line is

y = 3x - 1

3x - y - 1 = 0 .....i)

The line perpendicular to the line I Is

x + 3y + k = 0 .....ii)

The line II) passes through the point (7, 4) so

7 + 3 *4 + k = 0

7 + 12 + k = 0

19 + k = 0

I. e k = - 19

So the required equation is x + 3y - 19 = 0

Hope it will help :)❤

Answer:

p=1.4375

Step-by-step explanation:

Answer:

x^2+(y-7)^2=25

Step-by-step explanation:

x^2+y^2-14y=-24

x^2+(y-7)^2-49=-24

x^2+(y-7)^2=25

Answer:

6

Step-by-step explanation:

you need 6/6 to make 1

if theres a pie cut 6 times you need all 6 pieces to make it whole again

Answer:

1/6 is one and to make one whole you need 6

Step-by-step explanation:

Bentley had 17 pencils. Kerry

had 32 pencils. How many

more pencils does Kerry have

than Bentley?

Number of pencils Bentley had = 17 pencils.

Number of pencils Karry had = 32 pencils.

Number of pencils Karry have more than Bentley = 32 - 17 = 15

Karry have 15 pencils more than Bentley.

Answer:

Each monthly payment is of £560.

Step-by-step explanation:

Sue buys a car costing £8000 plus 20% VAT?

She has to pay:

8000 plus 20% of tax. So

[tex]T = 8000 + 0.2*8000 = 9600[/tex]

She pays £4000 deposit and then chooses to pay the balance in ten equal monthly payments.

4000 deposit, and then 9600 - 4000 = 5600 divided in ten equal monthly payments.

5600/10 = 560

Each monthly payment is of £560.

Answer:

1. 8,13,8,3,g

2. 8,13,3,g (Like term pair 1) and 8 (Like term pair 2)

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

i: the domain.

iii: the axis of symmetry.

Step-by-step explanation:

We have the function:

f(x) = x^2

The domain of this function is the set of all real numbers, and the range is:

R: [0, ∞)

(because 0 is the minimum of x^2)

Now we have the transformation:

d(x) = f(x) + 9 = x^2 + 9

Notice that this is only a vertical translation of 9 units, then there is no horizontal movement, then the axis of symmetry does not change.

Also, in d(x) there is no value of x that makes a problem, so the domain is the set of all real numbers, then the domain does not change.

And d(x) = x^2 + 9 has the minimum at x = 0, then the minimum is:

d(0) = 0^2 + 9 = 9

Then the range is:

R: [9,  ∞)

Then the range changes.

So we can conclude that the attributes that will be the same for f(x) and d(x) are:

i: the domain.

iii: the axis of symmetry.

The value of the number is 4.

Series = {6,1,8,4,2,7}

Let the next number in the series be x.

looking at the pattern the series can be classified into two

As the x is falling under the odd number series the,

we can see the difference in the odd series is following -2, +6, -2, +6; therefore, following the same series we get

6 + 2 = 8

8 - 6 = 2

2 + 2 = 4

Hence, the value of the number is 4.

Learn more about series and sequence:

https://brainly.com/question/8195467

Answer:

-3

Step-by-step explanation:

To find the slope of this line, you have to subtract that first y coordinate from the second y coordinate, and divide that by the quantity equal to the second x coordinate minus the first.

-2 - -2.5 = 0.5

4 - 2 = 2

0.5/2 = 1/4

Now you plug in the info you already have into a y=mx+b format. Chose one of the pairs of coordinates given in instruction to be the x and y values.

-2 = 1/4(4) + b

-2 = 1 + b

-3 = b

-3 is the y-intercept.

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

5x = 25

Step 2: Solve for x

Answer:

True

Step-by-step explanation:

Simplify the left side. Combine like terms (terms with the same amount of variables).

11 + 2 = 13

-5x + 4x = 4x - 5x = -x

-x + 13 = 13 - x (True)

True is your answer.

~

Answer:

494235234934-1304039445

Step-by-step explanation:

4r567890e-r0987ytdghcn

Answer:

72

Step-by-step explanation:

6 x 6 x 2 = 72

Answer:

72

Step-by-step explanation:

hope this helps!

Answer:

39.54 is greater than 39.4

Step-by-step explanation:

Answer:

39.54 is LESS than 39.4

Answer:

the equation is:    (104 * x) + 15 = y     i believe

Step-by-step explanation:

104 OF THE NUMBER of nights so times x because you dont know the number

and + 15 because of the fee

This article is about equivalency in mathematics. For equivalency in music, see equivalence class (music).

Congruence is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.

In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.

                              The information is from https://en.wikipedia.org/wiki/Equivalence_class

                         If it is wrong I am sorry

Answer:33.6

Step-by-step explanation:

Answer:

32.6

Step-by-step explanation:

Answer:

10+30r

Step-by-step explanation:

-2+5(2+6r)

expand 5(2+6r)

5x2=10

(6r)x(5)=30r

so it is 10+30r

then add that to -2

8+30r

Hope that helps :)