Find the length of the missing side.The numbers on the thing are 9 and 40 btw

Answer:

83 kilometres per hour =

51.574 miles per hour

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

The temperature when Emily went to bed was -4°F.

Step-by-step explanation:

8°F + 3°F = 11°F (noon)

The temperature had risen by 3°F by noon. This means to add 3.

noon + 6°F = the day's high temperature

11°F + 6°F = 17°F (the day's high temperature)

The temperature rose another 6°F in the afternoon. This means add 6 to the temperature from noon.

high temperature - 21°F = temperature at bed

17°F - 21°F = -4°F

The temperature dropped by 21°F when Emily went to bed. This means to subtract 21 from the day's high temperature.  

Risen, rose, and increase mean addition.

Decrease, dropped, and decline mean subtraction.

Hope this helps :)

The complete pattern will be;

⇒ 1, 5, 9, 13, 17

A process of combining or adding two or more numbers is called addition.

Given that;

The pattern is,

⇒ 1,__, 9, 13, __

Now,

Since, The pattern is,

⇒ 1,__, 9, 13, __

So, By adding 4 in previous number, we get the next number.

Hence, We get;

⇒ Second term = 1 + 4 = 5

⇒ Fifth term = 13 + 4 = 17

Thus, The pattern is,

⇒ 1, 5, 9, 13, 17

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-11x^2

Explanation:

The product of -11 and the square of a number:

Let the number = x

the square of x = x^2

Product here means multiplication.

The algebraic expression that represent each verbal expression is -11x^2

Answer:

\(P = \frac{1}{3}\)

Step-by-step explanation:

The calculation of the value of p minimizes is shown below:-

We will assume the probability of coming heads be p

p(H) = p

p(T) = 1 - P

Now, H and T are only outcomes of flipping a coin

So,

P(TTH) = (1 - P) = (1 - P) (1 - P) P

= (1 + P^2 - 2 P) P

= P^3 - 2P^2 + P

In order to less N,TTH

we need to increase P(TTH)

The equation will be

\(\frac{d P(TTH)}{dP} = 0\)

3P^2 - 4P + 1 = 0

(3P - 1) (P - 1) = 0

P = 1 and 1 ÷ 3

For P(TTH) to be maximum

\(\frac{d^2 P(TTH)}{dP} < 0 for\ P\ critical\\\\\frac{d (3P^2 - 4P - 1)}{dP}\)

= 6P - 4

and

(6P - 4) is negative which is for

\(P = \frac{1}{3}\)

The dollars to be bought for the given profit is $8.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

As per the question, the profit earned from one dollar is given as below,

Selling Rate - Buying rate

⇒ 116.50 - 115.25 = 1.25

Then, in order to make profit of $10, the number of dollars required can be calculated as below,

Total profit ÷ Profit from 1 dollar

⇒ 10 ÷ 1.25 = 8

Hence, the required value of dollars required is $8.

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The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

Hope this helped! :)

Answer:

(3x + 1) (x - 3)

Step-by-step explanation:

3x² - 8x - 3.

need two numbers that add up to -8, but that multiply together to get -3.

(3x + 1) (x - 3) = 3x² - 3(3x) + x - 3 = 3x²  - 9x + x - 3 = 3x²  - 8x - 3

After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.

In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:

(t, h) = (0 s, 5 ft)

Second, the final height of the ball is equal to:

h = 5 ft

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We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

Answer:

Step-by-step explanation:

x=2

Step-by-step explanation:

hold on

Each decision variable must be non-negative in the optimal solution.

According to this restriction or constraint, x11, x12, x21, and x22 must all be bigger than zero. They cannot, therefore, be negative numbers. All the variables would have to be positive values if the limitation had been > (greater than). However, since it is (more than or equal to), the choice of 0 is acceptable.

The function \(f(x_{1} ,x_{2} ,....)=x_{1} ^{2},x_{2} ^{2} ......\) is always positive except at the origin where it is equal to zero. This means that the absolute minimum of this function must be a = 0 . Absolute maximum is when all of the variables are equal to zero except \(x_{1}\) which is equal to 1 (f evaluated at this point is equal to 1 do b=1). The function itself is then equal to 1. This is because when \(f(.....) = x_{1} ^{2} +x_{2} ^{2} .....\leq x_{1} ^{2} +2x_{2} ^{2}+3x_{3} ^{2} ....\leq 1\)

so it is at most equal to 1 and this happens exactly at the point

\((x_{1} ,x_{2} ,x_{3} .....) = (1,0,0...)\)

Therefore,

Each decision variable must be non-negative in the optimal solution.

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Answer:

i dont see it

Step-by-step explanation:

Answer: 2√5 - 3

Step-by-step explanation:

\($$Simplify the following:$\sqrt{29-12 \sqrt{5}}$$$\begin{aligned}&29-12 \sqrt{5}=9-12 \sqrt{5}+20=9-12 \sqrt{5}+4(\sqrt{5})^{2}=(2 \sqrt{5}-3)^{2}: \\&\sqrt{\left((2 \sqrt{5}-3)^{2}\right)}\end{aligned}$$Cancel exponents. $\sqrt{(2 \sqrt{5}-3)^{2}}=2 \sqrt{5}-3$ :\\Answer:$$2 \sqrt{5}-3$$\)

The solution for f(3) in the function f(x) = 7x² - 2x is 57

From the question, we have the following equation that can be used in our computation:

F(X) = 7x2-2x

To make the equation legible, we need to rewrite it

So, we have the following representation

f(x) = 7x² - 2x

Also from the question, we have

f(3)

This means that the value of x is 3, and we calculate f(x) when x = 3

Substitute the known values in the above equation, so, we have the following representation

f(3) = 7x² - 2x

So, we have the following equation

f(3) = 7(3)² - 2(3)

There are constants to add or subtract to both sides of the equation

So, we have the following representation

f(3) = 57

Hence, the solution is 57

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Answer:

depends on the ammount

Step-by-step explanation:

════════ ∘◦❁◦∘ ════════

════════════════════

y = -2x² - 8x + 3

════════════════════

#First, find the x coordinate first by using the formula of -b/2a

x = -b/2a = -(-8)/2(-2) = 8/-4 = -2

#After getting the x, find the y

y = -2(-2)² - 8(-2) + 3

y = -2×4 +16 + 3

y = -8 + 16 + 3

y = 11

So the vertex is

(-2,11)

════════════════════

Answer:

the vertex is (-2, 11)

Step-by-step explanation:

F(x) = -2X^2 - 8X + 3 can be rewritten as -2(x^2 + 4x) + 3.

We complete the square of x^2 + 4x, obtaining x^2 + 4x + 4 - 4 = (x + 2)^2 - 4

and then we substitute this last result into F(x) = -2(x^2 + 4x) + 3:

F(x) = -2[ (x + 2)^2 - 4 ] + 3, which simplifies to:

F(x) = -2(x + 2)^2 + 8 + 3, or F(x) = -2(x + 2)^2 + 11

Comparing this to the vertex equation (x + h)^2 + k, we see that h must be -2 and k must be 11.  

Thus, the vertex is (-2, 11).

Answer: answer is D

Step-by-step explanation:

Answer: The correct answer is 6,4,2

Step-by-step explanation: Doing a 100 point giveaway stay tuned!

Answer:

When we round to the nearest hundred, we must look at the tens digit.

If the tens digit is 5 or lager, then we round up (we add 1 to the hundreds digit and after that, all the digits are zero.)

If the tens digit is smaller than 5, then we round down (the hundreds digit remains unchanged and after that, we complete with zeros.)

Then, the rounded number is 1900.

a) The greatest whole number that rounds to 1900 would be a number that is rounded down, then it will be:

1949

b) The least whole number that is rounded to 1900 is a number that we round up, this is:

1850

Largest: 1,949

This number is largest because it is closest to 1,900 without the number in the tens place being greater than 5, and the number in the tens place is bigger than 5

Smallest: 1,850

This number is smallest because any smaller number, like 1,849, would round to 1,800, and the number in the tens place is smaller than 5.

Have a good day!

 Hay 3 veces 13 en 47.

La respuesta la divides 47 por 13 lo que te daría 3.6153846153846.

The options for the questions are not given. However, it is to be noted that  VDG systems are used to help aircraft dock without any accidents. It is an aircraft system.

VDG is short for Visual Docking Guidance System.

It is an aircraft system that comprises of:

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By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

50,000

Step-by-step explanation:

in my opinion I would think this would be the answer because you are rounding to the nearest 10,000