The graph below represents the dimensions of a rectangle. What type of variation do the adjacent side lengths exhibit?

Answer:

(x+2)^{2} +5(x+2)-6=0

Let

u=(x+2)

Substitute in the expression

(u)^{2} +5(u)-6=0

therefore

the answer is

(u)^{2} +5(u)-6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0

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The federal courts that the Constitution gives the Congress the power to create are federal courts: lower than the Supreme Court.

Federal courts can be described as lower courts having limited jurisdiction. This implies that they are only authorized to hear cases that arise under the federal statues in the United States.

The Supreme Court is the highest court. District courts are the lowest federal courts.

Therefore, the federal courts that the Constitution gives the Congress the power to create are federal courts: lower than the Supreme Court.

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The U.S. Constitution allows Congress to establish federal courts lower than the Supreme Court, but not higher, equal to, or unaffected by it. The Supreme Court is the highest court in the U.S. judiciary.

The Constitution gives Congress the power to create federal courts that are lower than the Supreme Court. According to Article III, Section 1 of the Constitution, 'The judicial Power of the United States, shall be vested in one supreme Court, and in such inferior Courts as the Congress may from time to time ordain and establish.'

The Constitution does not give Congress the power to create courts that are higher than, equal to, or unaffected by the Supreme Court. The Supreme Court is the highest court in the U.S. judicial system, and all lower courts must follow the legal precedents set by it.

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Answer:

7

Step-by-step explanation:

Blue is 7 and the Red is 7

Answer:

7

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

-4x-4=-4(x+2)​

Distribute the negative

-4x-4 = -4x-8

Add 4x to each side

-4x+4x-4 = -4x+4x-8

-4 = -8

Since this is not true there are no solutions

Answer:

(h,k)

Step-by-step explanation:

because of how the h is horizontal that is the x value and the k is vertical making it the y value.

(pls mark brainliest)

The vertex gets shifted by h units horizontally and k units vertically.

The parabola is defined by

y = a(x - h)² + k

has its vertex at (h,k).

After a shift by h units right, followed by a shift of k units vertically, the parabola is defined by

y = a(x - 2h)² + 2k

which has its vertex at (2h, 2k).

∴ (h,k).

Vertex Form of the Equation of a Parabola: The equation y=a(x−h)2+k y = a ( x − h ) 2 + k of a parabola is said to be in vertex form because the vertex can be determined by examining the equation: (h,k) is the vertex.

The equation of a parabola can be written in two basic forms: Form 1: y = a( x – h) 2 + k. Form 2: x = a( y – k) 2 + h.

A parabola is nothing but a U-shaped plane curve. Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix. Terms related to Parabola.

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Answer:

m = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 7 is in this form with slope m = - 4

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]

Hence the value of m = [tex]\frac{1}{4}[/tex]

Answer:

49

Step-by-step explanation:

The average rate of change is the ratio of the CHANGE IN Y COORDINATE and CHANGE IN X COORDINATE

In this table we are asked to determine the change in rate from x= 3 to x=5

at x =3 , y = 27

at x=5 , y=125

Hence

Change in y = 125-27 = 98

Change in x = 5-3 = 2

Hence Average Rate of Change = 98/2 = 49

Answer = 49

Answer: 88 inches

Step-by-step explanation:

Given : A bicycle tire is 28 inches in diameter. approximately.

To find the distance traveled by the bicycle each time the wheel goes around we need to find the circumference of the tire.

The circumference of a circle : [tex]\pi d[/tex], where d is the diameter of the circle.

Now, the circumference of tire : [tex]\dfrac{22}{7} \times(28)=88[/tex]

Hence, the distance traveled by the bicycle each time the wheel goes around  =88 inches.

The wheel moves forward each time, in a single round it will cover distance of 88 inches.

Given information:

The diameter of the tire is 28 inches.

Now, if we need to find the distance covered by the tire in one round, we need to understand that the tire will cover exactly same distance as it's circumference in one round.

So, the distance will be equal to its circumference :

[tex]D=\pi\times d[/tex]

Hence, distance covered (D)

[tex]D=3.14\times 28\\D=88[/tex]

Hence, when the wheel move forward each time the in a single round it will cover 88 inches.

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Answer:

x = - 8, x = 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8

Answer:

I’m not sure, but I think it’s C

Answer:

Since both equations are equal to each other given that they are both equal to y, you can say that . . .

2x = x^2  - 15

x^2 - 2x - 15 = 0

(x-5) (x+3) = 0

Zero Product Property

x = 5 ; x = -3

Solve for y:

y = 2(5) ; y = 2(3)

y = 10 ; y = 6

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Answer:

The correct answer option is C. 180

Step-by-step explanation:

We are given a figure of a circle with two known angles measuring 137 degrees and 94 degrees and we are to find the value of x.

Finding x:

[tex]137 = \frac{1}{2} (\angle x + 94)[/tex]

[tex]137 = \frac{1}{2} \angle x + 47[/tex]

[tex]\frac{1}{2} \angle x = 137 - 47[/tex]

[tex]\frac{1}{2} \angle x = 90
[/tex]

[tex] \angle x = 90 \times 2&# 1 0 [/tex]

x = 180

Answer:

the answer is 180

Step-by-step explanation:

Because yes!! Also I hope you have a wonderful wonderful day!! :D

Answer:

The first number is 8

Step-by-step explanation:

Let

x -----> the first number

y ----> the second number

x=3y-4 ----> equation A

3+2x-2y=11 ----> equation B

Substitute equation A in equation B and solve for y

3+2(3y-4)-2y=11

3+6y-8-2y=11

4y=11+5

y=16/4=4

Find the value of x

x=3(4)-4=8

Answer:

unlikley

Step-by-step explanation:

Answer:

12) 154   squared meters

13) 307  cm^2

Step-by-step explanation:

12) A circle has area pi*r^2

r is half the diameter so half of 14 is 7

pi in this case is 22/7

A=22/7 * (7)^2

A=22/7  * 49

A=22     *49/7

A=22     *7

A=154 squared meters

13)  Area of rectangle is 10(18)=180

      Area of half a circle is .5*pi*r^2=.5*pi*9^2  

       Adding the two areas together would result in a total area of 307.2 squared centimeters

Given the provided conditions, we set up an equation to determine the width and length of the indoor football field. After simplifying the appropriate mathematical expressions, we find that length of the football field is 66 yards.

In this problem, we're solving for the length of an indoor football field. We know that the perimeter of a rectangle is given by [tex]2L + 2W[/tex] (twice the length plus twice the width) and the length is said to be 45 yards longer than the width. Therefore, we would describe the length as 'W + 45'

Let's represent the width as W and thus the length as W + 45. Substituting these into our perimeter equation we get [tex]2(W) + 2(W +45) = 174.[/tex] Simplifying gives [tex]4W + 90 = 174[/tex]

Subtracting 90 from both sides gives 4W = 84. Thus, W = 21. Substituting this value back into our equation for the length gives us L = 21 + 45 which equals 66 yards. Therefore, the length of the indoor football field is 66 yards.

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Answer:

Practical probability:  9 / 20 = 45%

Theoretical probability: 3 / 6 = 50%

Step-by-step explanation:

So, we have 20 rolls:

1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6

Out of which we have 9 even numbers: 2 6 6 4 4 6 2 2 6

So, the practical probability is 9 / 20 or 45%

The theoretical probability is:

Possible outcomes (6): 1 2 3 4 5 6

Even numbers possible (3): 2 4 6

P = 3 / 6 = 50%

The practical probability is a bit lower (45%) than the theoretical probability (50%) but that's most probably due to the low number of rolls, it's just one roll away from being on target.  With a greater number of rolls, the student would get closer to the theoretical probability.

Answer: 1/6

Step-by-step explanation:

Lets say two points are (a,b) and (c,d)

the slope that cross these two points is: (b-d)/(a-c) or (d-b)/(c-a) → either one is fine, but make sure the one you are subtracting is the one from the same point.

Hope it helped!

Answer:

The slope formula is [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

The slope of (1, 9) and (-5, 8) is 1/6

Step-by-step explanation:

(9 - 8)/( 1 - [-5]) = 1/6

Answer:  Point, Point, Line

Step-by-step explanation:

A plane and a line intersect at a point .  Think of a piece of paper as a plane and a pen as a line.  What happens when you push the pen through the paper?  It creates a point!

Two lines intersect at a point .

Two planes intersect at a line . Think of a piece of paper laid horizontally on a table and another piece of paper standing on it vertically.  What can you draw at the places of intersection? A line!

Answer:

y = 4.  So this is your width.

Step-by-step explanation:

Use the distributive property to do 2(2y-3) = 2*2y-2*3 = 4y-6. So we have

4y-6+2y = 18.  Combine like terms 4y and 2y to get 6y.

6y-6 = 18.  Add 6 to both sides to solve for 6y

6y = 24.   Divide by 6 to solve for y

y = 4.  So this is your width.

length = x

           ________________

          |                            |

     y   |                            |  width = y

          |                            |

          _________________

                       x

The width of the rectangle is determined to be 4 inches.

To find the width of the rectangle, we need to set up equations based on the information given. The length (L) is described as being 3 inches less than twice the width (W), so we can express that as L = 2W - 3. The perimeter (P) of a rectangle is calculated as P = 2L + 2W. We are told the perimeter is 18 inches, so we have 18 = 2(2W - 3) + 2W. Simplifying this equation, we get 18 = 4W - 6 + 2W, which combines to 18 = 6W - 6. Adding 6 to both sides gives us 24 = 6W, and dividing both sides by 6 yields W = 4 inches. Therefore, the width of the rectangle is 4 inches.

The process used here is similar to working through proportions and scale factors. For instance, if one is working with scale models, as in the miniature fish pond example, the scale factor is used to determine the dimensions in the model based on actual size dimensions. However, in this case, the given equations allowed us to find the width directly.

A. 1.5625 gal.

Formula  

divide the volume value by 128

I decided 200 by 128 and voila; there is the answer.

[tex]{_8C_3}\cdot 3!=\dfrac{8!}{3!5!}\cdot 6=\dfrac{6\cdot 7\cdot 8}{6}\cdot6=336[/tex]

There are 336 ways we can choose and arrange the trophies.

The answer is option D. 336

calculation:-

   ₃C⁸.3! = 8!/3!5!.6 = (6.7.8)/6.6 = 336

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let's convert the 0.05 to a fraction first, so we have two decimals, so our fraction will have two zeros then.

[tex]\bf 0.\underline{05}\implies \cfrac{005}{1\underline{00}}\implies \cfrac{1}{20} \\\\[-0.35em] ~\dotfill\\\\ 10\div 0.05\implies \cfrac{10}{1}\div \cfrac{1}{20}\implies \cfrac{10}{1}\cdot \cfrac{20}{1}\implies 200[/tex]

Use the points where the line crosses the x and y axis.

(2,0) and (0,2)

Slope = change in Y over the change in x.

Slope = (2-0) / (0-2)

Slope = 2/-2

Slope = -1

Answer:

Step-by-step explanation:

Let x - y = A

A^4 - A^2

A^2 ( A^2 - 1)

A^2 (A + 1)(A - 1)

(x - y)^2 (x - y + 1)(x - y - 1)

If I have not thought out the question properly please leave me a note.

Answer:

x<11

Step-by-step explanation:

Subtract by 2 both sides of equation.

2-2x-2>-20-2

Simplify.

-2x>-22

Multiply -1 from both sides of equation.

(-2x)(-1)<(-22)(-1)

Simplify.

2x<22

Divide by 2 from both sides of equation.

2x/2<22/2

Simplify, to find the answer.

22/2=11

x<11 is the correct answer.

To solve the inequality 2 - 2x > -20, we isolate the variable term by adding 2x to both sides, subtracting 2, and then dividing by 2 to find that the solution is x < 11.

To solve the inequality 2 - 2x > -20, we can follow these steps:

The solution to the inequality is x < 11.

The statement which is true about skew lines is:

                    Option: D

                D. Skew lines do not lie in the same plane

Skew lines-

In mathematics, skew lines are the lines which do not intersect and also they are never parallel.

Also, we know that if two lines are on the same plane i.e. coplanar this means either they will cross i.e. intersect or will be parallel.

This statement imply that skew lines do not lie in the same plane i.e. they are non-coplanar.

Hence, from all of the definition and the property above we get:

      D. Skew lines do not lie in the same plane

Answer:

The true statements are,

x ∈ B

x ∉ C

x ∈ A ⋃ B

x ∈ A ⋂ B

x ∈ A ⋃ C

Step-by-step explanation:

From the figure we can see three sets A, B, C

Check all options

1)  x ∉ A

From the figure we get, x is an element of A

x ∉ A is False

2)  x ∈ B

From the figure we get, x is an element of B

x ∉ B is True

3)  x ∉ C

From the figure we get, x is not an element of C

x ∉ C is True

4). x ∈ A ⋃ B

From the figure we get, x is an element of A ⋃ B

x ∈ A ⋃ B  is True

5). x ∈ A ⋃ C

From the figure we get, x is an element of A ⋃ C

x ∈ A ⋃ C  is True

6).x ∈ A ⋂ B

From the figure we get, x is an element of A ⋃ B

x ∈  A ⋂ B   is True

Answer:

Everything is true expect for the first answer choice .

Step-by-step explanation:

Answer:

28 deg

Step-by-step explanation:

Reference angle is the smallest angle formed by the terminal ray, x-axis, and origin. So at 180 you are on the x-axis so just for this question you have to do 180-152=28.

The reference angle should be a positive between 0 and 90 degrees.