The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

1

,

−

6

)

(

-

1

,

-

6

)

Focus:

(

−

1

,

−

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

−

1

x

=

-

1

Directrix:

y

=

−

47

8

y

=

-

47

8

x

y

−

3

−

14

−

2

−

8

−

1

−

6

0

−

8

1

−

14

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

1

,

−

6

)

(

-

1

,

-

6

)

Focus:

(

−

1

,

−

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

−

1

x

=

-

1

Directrix:

y

=

−

47

8

y

=

-

47

8

x

y

−

3

−

14

−

2

−

8

−

1

−

6

0

−

8

1

−

14

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.

Answer:

6 tons

Step-by-step explanation:

450x12=5,400

550x12=6,600

5,400+6,600=12,000 lbs.

12,000 ÷ 2,000=6 tons

Answer:

50°

Step-by-step explanation:

∠ RST = (arc QC - arc RT) / 2

          = (150° - 50°) / 2

          = 50°

Answer:

f(x) is translated by 4 units left.

Step-by-step explanation:

did it help ?

well, hope it helps !

Answer:

a meme

Step-by-step explanation:

Answer:

meem

Step-by-step explanation:

meet bc it is crazy and I luv it

Answer:

x less than or equal to 5

i think thats what u wanted

Answer:

4200

Step-by-step explanation:

Answer: 4,200 meters

Step-by-step explanation:

[tex]\frac{28}{100} * 15 = 4.2 km = 4200 m[/tex]

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.

Algebraic identities are expansion of powers of algebraic expressions.

One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

Given the question,

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]

Given the form, [tex]b - c\sqrt{5}[/tex],

On comparison,

b = 12

c = 4

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========================================================

Explanation:

Let x and y be two positive whole numbers. They may or may not be equal.

The first bag has the ratio of red to blue as 3:5, which scales up to 3x:5x after multiplying both parts by x. We have 3x red and 5x blue.

The second bag has the ratio 3:2 which scales up to 3y:2y. This bag has 3y red and 2y blue.

We can make a handy table to keep track of all the expressions

[tex]\begin{array}{|c|c|c|}\cline{1-3}\text{ } & \text{Red} & \text{Blue}\\ \cline{1-3}\text{bag 1} & 3x & 5x\\ \cline{1-3}\text{bag 2} & 3y & 2y\\ \cline{1-3}\end{array}[/tex]

Based on that, we can then say:

Effectively, I added down along each column of that table.

Divide the two expressions for R and B to lead to the fraction 11/9, which is directly from the ratio 11:9

So,

(total red)/(total blue) = 11/9

R/B = 11/9

(3x+3y)/(5x+2y) = 11/9

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

Let's cross multiply and then solve for y

(3x+3y)/(5x+2y) = 11/9

9(3x+3y) = 11(5x+2y)

27x+27y = 55x+22y

27y-22y = 55x-27x

5y = 28x

y = 28x/5

y = (28/5)x

y = 5.6x

We'll keep this in mind for later.

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

Now let:

Recall that we had 3x red and 5x blue for the first bag. That means we have 3x+5x = 8x marbles in the first bag. Therefore, F = 8x.

Also, we had 3y red and 2y blue for the second bag.

So we have S = 3y+2y = 5y

Then we can apply further substitution to say

S = 5y

S = 5(5.6x) .... plug in y = 5.6x

S = 28x

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

In short,

for some positive whole number x. We don't have enough info to pin down what x is exactly; however, it doesn't really matter. This is because the x variable will cancel when dividing F over S

F/S = (8x)/(28x) = 8/28 = 2/7

The fraction 2/7 leads directly to the final answer of the ratio 2:7

In other words, the ratio 8x:28x simplifies fully to 2:7 after dividing both parts by 4x.

The ratio between the total marbles of the first bag and the second bag is 2:7.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x marbles in the first bag.

red marbles = 3x

blue marbles = 5x

y marbles in the second bag.

red marbles = 3y

blue marbles = 2y

Now,

Total red marbles in both bags.

3x + 3y = 11 _____(1)

3x = 11 - 3y

x = (11 - 3y) / 3

Total blue marbles in both bags.

5x + 2y = 9 ______(2)

From (1) and (2) we get,

Multiply 2 in (1).

6x + 6y = 22

6y = 22 - 6x _____(3)

Multiply 3 in (2)

15x + 6y = 27 ______(4)

Putting (3) in (4)

15x + 22 - 6x = 27

9x = 27 - 22

9x = 5

x = 5/9

Now,

x = 5/9 in (3)

6y = 22 - 6(5/9)

6y = 22 - 10/3

6y = (66 - 10)/3

y = 56/18

y = 28/9

Now,

First bag.

Red marbles = 3x = 3 x 5/9 = 5/3

Blue marbles = 5x = 5 x 5/9 = 25/9

Total marbles = 5/3 + 25/9 = (15 + 25)/9 = 40/9

Second bag.

Red marbles = 3y = 3 x 28/9 = 28/3

Blue marbles = 2y = 2 x 28/9 = 56/9

Total marbles = 28/3 + 56/9 = (84 + 56)/9 = 140/9

Now,

The ratio between the total marbles of the first bag and the second bag.

= 40 :140

= 4:14

= 2:7

Thus,

The ratio is 2:7.

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[tex]72:36 = \dfrac{72}{36} = \dfrac{36 \times 2}{36} = 2:1[/tex]

Answer:

y-inctercept=4, x-intecept=7

Step-by-step explanation:

I did it with the standard to slope again!

[tex]7y=28-4x[/tex]

[tex]y=4-\frac{4}{7}x[/tex]

Now don't get confused here, 4 is the y incetecept, not -4.

When y=0, x=7

UPDATE:

To determine x and y intercept using graph, see where the line intersects at the x or y axis.

Answer: What's even the question? It's not asking anything to solve

Step-by-step explanation:

Answer:

50 is the answer

Step-by-step explanation:

you need to add 45+5 the you will get 50

[tex]a(n) = ({n + 1})^{2} - 1[/tex]

Answer:

4%

Step-by-step explanation:

to find percentage do 37 divided by 925 helps it helps :)

Answer:

If they are seperate, then it is

-149

-3,861

106

If that is a whole equation, then the answer is

-297,506

Answer:

-13x6-(68+3)= -149
54-(-87x45)=  -3969
75+31=106

Step-by-step explanation:

Answer: I Think you will make 100 time 2 divide 3

Step-by-step explanation:

i'm not sure, have a nice day

Answer:

y=2/3x+3

Step-by-step explanation:

parallel means it stays the same so its still 2/3

now use the equation y=mx+b

plug in the slope which is 2/3

so we get y=2/3x+b

then plug in the 2 points

1= 2/3(−3)+b

1=-6/3+b

1=-2+b

add 2 to 1 and -2

3=b

so we get y=2/3x+3

7.62

Step-by-step explanation:

Should be 40ft. If not, I dearly apologize.

Answer:

40ft tall

Step-by-step explanation:

Hope this helps :)

Answer:

the width is 8

Step-by-step explanation:

I know this because 12×8 is 96

and 12 exceeds 8 by 4, that's how I came up with it

Length-12 in

Width-8 in

Area-96 square inches

The solutions are x = (5 + √19)/3 and x = (5 - √19)/3. These match options E and F in your question.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

We are given that;

The function (3x - 5)2 = 19

Now,

To find the solutions to the equation (3x - 5)^2 = 19, we need to use the following steps:

Take the square root of both sides to get 3x - 5 = ±√19

Add 5 to both sides to get 3x = 5 ±√19

Divide both sides by 3 to get x = (5 ±√19)/3

Therefore, the solutions of the equations will be x = (5 + √19)/3 and x = (5 - √19)/3.

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D is correct :)

The bunnies are multiplying by 5 each time. The exponent will have the growth be 5 times the product before.

Hope this helps :)

Answer:

the 4th answer is correct

Step-by-step explanation:

although technically, we don't have enough information, it's the only one that it could be.

Answer:

13

Step-by-step explanation:

533÷41=13 just use a calculator

Answer: Tanaka is wrong becausee...

2 x 3 = 6

Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.

Hope this helps :)

Answer:

-5

Step-by-step explanation:

considering they are counting in whole numbers it should be -5

Answer:

  (250, 150)

Step-by-step explanation:

The acreage cannot be negative, so choices A and C are eliminated. The sum of acreages cannot exceed 400, so choice D is eliminated.

Choice B has the allotted acreages total exactly 400, which is within the farmer's limit.

  (250, 150) is a viable solution