The rectangle and a trapezoid have the same area what is the length L of the rectangle?

The equation of any straight line can be written as in slope intercept form as -

[tex]\green{ \underline { \boxed{ \sf{y=mx+c}}}}[/tex]

where,

Given equation:-

[tex]\begin{gathered}\\\implies\quad \sf 5x+y = 10 \\\end{gathered} [/tex]

Arranging it in slope intercept form by transposing 5x to RHS

[tex]\begin{gathered}\\\implies\quad \sf y = 10 -5x \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf y = -5x +10\\\end{gathered} [/tex]

[tex]\leadsto[/tex]Comparing the equation y = -5x +10 with the standard form of the equation, we get -

[tex]\quad \bull\: \sf m= -5[/tex]

[tex]\quad \bull \: \sf c= 10[/tex]

Thus , 5 is our required answer.

Answer:

[tex]\displaystyle y = -5x + 10[/tex]

Step-by-step explanation:

5x + y = 10

- 5x - 5x

_________

[tex]\displaystyle \boxed{y = -5x + 10}[/tex]

I am joyous to assist you at any time.

Answer:

[tex]b=3[/tex]

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation.

[tex]2*(b+3)-(12)=0[/tex]

Then solve!

Answer:

$0.41 per apple.

Step-by-step explanation:

A dozen apples stand for 12. If we want to find the rate, we must divide.

$4.92 ÷ 12 = 0.41.

The rate for a dozen apples that cost $4.92 is $0.41 per apple.

Answer:

$0.41 per apple

Answer:

C.

Step-by-step explanation:

If you graph it, you can see that the lines are parallel.

Answer: 6

Step-by-step explanation:

Check the picture below.

Answer:

slope=2 y-intercept=4

Answer:

Length = 8

Breadth = 12

Step-by-step explanation:

Since Area = length * breadth

96 = (x+2)(x-2)

Since (a+b)(a-b) = a^2-b^2

(x+2)(x-2) = x^2-4

Therefore

x^2-4 = 96

x^2 = 100

x = +-10

Since x > 0

x = 10

(a) Since u = cos(x) gives du = -sin(x) dx, we have

∫ sin(x) cos(x) dx = - ∫ (-sin(x)) cos(x) dx

= - ∫ cos(x) d(cos(x))

= - ∫ u du

= - 1/2 u² + C

= -1/2 cos²(x) + C

(b) Now u = sin(x) gives du = cos(x) dx, so

∫ sin(x) cos(x) dx = ∫ sin(x) d(sin(x))

= ∫ u du

= 1/2 u² + C

= 1/2 sin²(x) + C

(c) Since sin(2x) = 2 sin(x) cos(x), we have

∫ sin(x) cos(x) dx = 1/2 ∫ sin(2x) dx

Substitute u = 2x, so that du = 2 dx, and

∫ sin(x) cos(x) dx = 1/2 ∫ sin(2x) dx

= 1/4 ∫ 2 sin(2x) dx

= 1/4 ∫ sin(u) du

= -1/4 cos(u) + C

= -1/4 cos(2x) + C

(d) Integrate by parts, setting

u = sin(x)          ==>  du = cos(x) dx

dv = cos(x) dx  ==>  v = sin(x)

Then

∫ sin(x) cos(x) dx = sin²(x) - ∫ sin(x) cos(x) dx

2 ∫ sin(x) cos(x) dx = sin²(x) + C

∫ sin(x) cos(x) dx = 1/2 sin²(x) + C

The solutions in (b) and (d) are identical, but all 4 are equivalent, and this follows from the identities,

sin²(x) + cos²(x) = 1

cos(2x) = cos²(x) - sin²(x)

Answer:

1.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). [tex]-\frac{5}{12}[/tex] x = 0 ⇒ x = 0

2). 5,4 ( x + 6,3 ) = 0 ⇒ x + 6,3 = 0 ⇒ x = - 6,3

3). ( x - 3 )( x + 4 ) = 0 ⇒ x - 3 = 0 или x + 4 = 0 ⇒ x = 3 или x = - 4

4). 23,5 | x | = 0 ⇒ | x | = 0 ⇒ x = 0

Answer:

1/9

Step-by-step explanation:

First turn all the negative exponents into positive by flipping the fractions then plug in the given values.

(3/1)^2 * (1/x)^4 * y^2

Simplify to:

9 * 1/(x^4) * y^2

Plug in:

9 * 1/(3^4) * -1^2

Simplify:

9 * 1 * 1/(3^4) = 9/(3^4) = 9/81 = 1/9

Answer:

Mia takes longer

Step-by-step explanation:

We can do this easily by doing 3 / 5 which is 0.6 for Sam and for Mia 2/3 is 0.666 repeating. 0.666 repeating is greater than 0.6

Answer:

I can not see the whole picture, otherwise I could maybe help you.

Answer:

y-5 = 3/4(x-6)

Step-by-step explanation:

point slope formula is y - y₁ = m(x - x₁) where m=slope and (x₁ ,y₁) is a point on the line.

First find the slope.  From the graph we have pts A and B.

A= (-2,-1) and B is (6,5)

m= y-y₁/x-x₁  m= (5-(-1)/(6-(-2))

m= 6/8 = 3/4

Using point B for x₁ and y₁

y-5 = 3/4(x-6)

That's the question????

Using translation concepts, it is found that a 90º clockwise rotation of the triangle around the origin took place.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, considering the points on triangles ABC and A'B'C', the change is modeled by:

(x,y) -> (y, -x).

Which is a 90º clockwise rotation of the triangle around the origin.

More can be learned about translation concepts at https://brainly.com/question/4521517

80 >= -8(w-8)

Use distributive property:

80 >= -8w + 64

Subtract 64 from both sides:

16 >= -8w

Divide both sides by -8:

-2 >= w

Because the division was done using a negative value the inequality gets reversed:

w >= -2

Answer : w >= -2

First, you want to find the area of the entire thing first.

The length adds up to 14, the width to 10. Multiply and you get 140 as the total area.

Now to get rid of the flower bed is simple, 8 Multiply to 3 which makes 24, then divide by 2 which is 12. Substract 12 to 140 and you get 128.

The formula for a trapezoid is Area= (base1 +base2)/2 times height. Following this, and 5 and 7 which gets 12. divide 12 to 2 and you get 6. 6 times 10 is 60.

Subtract 60 to 128 and you get 68.

Mark best if possible please.

Answer:

Step-by-step explanation:

First, you want to find the area of the entire thing first.

The length adds up to 14, the width to 10. Multiply and you get 140 as the total area.

Now to get rid of the flower bed is simple, 8 Multiply to 3 which makes 24, then divide by 2 which is 12. Substract 12 to 140 and you get 128.

The formula for a trapezoid is Area= (base1 +base2)/2 times height. Following this, and 5 and 7 which gets 12. divide 12 to 2 and you get 6. 6 times 10 is 60.

Subtract 60 to 128 and you get 68.

.

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

the answer is in the picture

Answer:

3

Step-by-step explanation:

with the information given in the question the only answer I can provide is that each diver requires a tank. does the tank have a certain capacity and so on?

Answer: 5x+7y=500

Step-by-step explanation:

The building should be 1.024 meters high and unfortunately there are no buildings with such height in the world.

In this question we must use definition of geometric progression to predict initial height ([tex]h_{o}[/tex]), in meters, in terms of current height ([tex]h[/tex]), in meters, and number of bounces experimented by the ball ([tex]n[/tex]). The expression is described below:

[tex]h = h_{o}\cdot \left(\frac{1}{2} \right)^{n}[/tex]   (1)

If we know that [tex]n = 10[/tex] and [tex]h = 1\,m[/tex], then the initial height is:

[tex]1 = h_{o}\cdot \left(\frac{1}{2} \right)^{10}[/tex]

[tex]h_{o} = 2^{10}[/tex]

[tex]h_{o} = 1024\,m[/tex]

The building should be 1.024 meters high and unfortunately there are no buildings with such height in the world. [tex]\blacksquare[/tex]

The statement is incomplete, complete form is shown below:

A ball falls from the roof of a building and bounces half as high each time. How tall would a building have to be if, after hitting the ground ten times, the ball bounces to 1 meter? Is there a building this tall?

To learn more on geometric series, we kindly invite to check this verified question: https://brainly.com/question/15130111

Answer:

First piece = 30m , 2nd is 120 m and third piece is 240 m long.

Step-by-step explanation:

Let the length of the first piece be x m.

Then the length of the second piece = 4x m.

The third piece = 2 * 4x = 8x m.

So x + 4x + 8x = 390

13x = 390

x = 30 m

So 2nd piece = 4*30 and third is 8*30  m.

Hello!

This is an equilateral triangle. In this triangle, the angles are congruent, respectively, the sides. Here, the mediator corresponds to the bisector, the median. So this line will form two  right triangles.

Th 30-60-90

I used the 30-60-90 theorem, which says that the opposing the angle of 30 degrees has the length equal to half the hypotenuse.

Th Pitagora's

Which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

Good luck:)

Answer:

1,3,4,5

Step-by-step explanation:

I hope this helps!

Answer:

10

Step-by-step explanation:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let [tex](x_1,y_1)[/tex] = (-4, 2)

Let [tex](x_2,y_2)[/tex] = (2, -6)

Substituting given points into the formula:

[tex]\implies d=\sqrt{(2-(-4))^2+(-6-2)^2}[/tex]

[tex]\implies d=\sqrt{(6)^2+(-8)^2}[/tex]

[tex]\implies d=\sqrt{36+64}[/tex]

[tex]\implies d=\sqrt{100}[/tex]

[tex]\implies d=10[/tex]

Answer:

1664 cards

Step-by-step explanation:

416 divided by 8 is 52 and 52 times 32 is 1664.

For Sofia:-

So

For Flynn:-

Now

difference

Answer:

Step-by-step explanation:

The answer is C.

Almonds

Pecans

The others have missing combinations.