2. Which of the following are the coordinates of the vertex of the graph of f (x) = (x - 7)^2 + 2

Answer:

the answer is 5.5 mentions

Answer

-40

Explanation

Given that:

-6(2² + 3) - 2(1² - 2)

What to find:

To simplify the expression using the distributive property.

Step-by-step solution;

The distributive property states that an expression that is given in form of A(B + C) can be solved as A × (B + C) = AB + AC.

So,

Answer:

38 minutes

Step-by-step explanation:

Volume of the first aquarium:

Volume of the second aquarium

The second aquarium is:

It will take

to fill this aquarium

Given the repeating decimal 0.155...

We will convert it to a fraction as follows:

so, the answer will be:

Answer:

4 (8+11)

Step-by-step explanation:

Found the greatest common factor: 4

Divided booth by it

32/4 + 44/4

8       +     11

4 (8+11)

The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)

To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:

1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).

2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).

3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:

\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).

4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).

This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)

This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.

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Answer:

-15x + 30

Step-by-step explanation:

Using the distributive property, distribute -3 to the parentheses:

-3(5x) = -15x

-3(-10) = 30

Add these terms together:

-15x + 30 is the rewritten expression

Answer:

-15x + 30

Step-by-step explanation:

-3*5 = -15 and -3 * -10 equals 30 also negative times a negative is always a positive number

High Hopes ^^

Barrys

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

C. x = -3

Step-by-step explanation:

-15x + 60 <= 105

-15x <= 45

-x <= 3

x >= -3

14x + 11 <= -31

14x <= -42

x <= -3

the only solution that is in both solution areas is x = -3.

for all other values of x we violate one of the 2 conditions.

To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.

Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.

Using trigonometry, we can set up the following equation:

tan(32°) = h / 750

To find the value of h, we can rearrange the equation:

h = tan(32°) * 750

Using a calculator, we can find the value of tan(32°) ≈ 0.6249.

Now we can calculate the height of the shuttle:

h ≈ 0.6249 * 750

h ≈ 468.675 meters

Therefore, the height of the shuttle is approximately 468.675 meters.

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The parallelogram with vertices U(2,−2), V(9,−2), W(9,−6), and X(2,−6) is a rectangle, and square.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Here, We have given the vertices of the parallelogram are,

⇒ U(2,−2), V(9,−2), W(9,−6), and X(2,−6)

So, The distance between U and W from the distance formula is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ d = √ (9 - 2)² + (- 6 - (-2))²

⇒ d = √ 7² + (-4)²

⇒ d = √65

So, UW = √65

The distance between V and X from the distance formula:

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ d = √ (2 - 9)² + (- 6 - (-2))²

⇒ d = √ -7² + (-4)²

⇒ d = √65

So, VX = √65

Here, UW = VX (diagonals are equal in length).

As we know, in a rectangle and square the diagonals are equal in measure.

Thus, the parallelogram with vertices U(2,−2), V(9,−2), W(9,−6), and X(2,−6) is a rectangle, and square the choices are rectangle and square.

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Answer:

a

Step-by-step explanation:

sorry if wrong

The inverse statement is false.

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Answer:

Hi! The answer would be A.

Step-by-step explanation:

8 less than shows us that the number 8 will be subtracted from another number. Not the one being subtracted from. So then we know it's not C.

The quotient of 5 and a number shows us that 5 will be the numerator and the 'number' will be the denomintor.

That means the answer will be 5n-8.

Hope this helps! :)

Btw I also took the K12 quiz just now.

The expression that can be used to represent the phrase is 5 / n - 8

The term less means to subtract. For example,  8 less 2 means 2 subtracted from 8. This is the same as 8 - 2 = 6

The term quotient means division. It means to divide a number by another number. For example, the quotient of 8 and 2 means 8 to divide by 2. This is the same as 8 /2 = 4

From this question, let n represent the number, the information given in this question can be represented with this expression:

the quotient of 5 and a number can be expressed as 5 / n

8 less than the value of the quotient is 5/n - 8

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Answer:

x ≈ 5.4 feet

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse x is equal to the sum of the squares on the other 2 sides.

horizontal leg = 5 units = 5 feet

vertical leg = 2 units = 2 feet

Then

x² = 5² + 2² = 25 + 4 = 29 ( take square root of both sides )

x = \(\sqrt{29}\) ≈ 5.4 feet ( to the nearest tenth of a foot )

Answer:

26

Step-by-step explanation :

73 - 47 = 26  brainliest?

Answer:

Step-by-step explanation:

\( \frac{x}{y} \\ x \div y \\ - \frac{7}{9} \div - 0.2 \\ - \frac{7}{9} \times - \frac{1}{0.2} \\ \frac{7}{1.8} \\ \frac{7 \times 10}{1.8 \times 10} \\ \frac{70}{18} \\ \frac{35}{9} \\ = 3 \frac{8}{9} \\ \)

As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t

As per the question given,

To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).

The gradient of T(x,y) is given by:

∇T(x,y) = (-2x, -4y)

The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).

To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.

So the path of the heat-seeking particle is given by the following parametric equations:

x = a - 2t

y = b - 4t

where t is the parameter that represents time.

These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.

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Answer:

208

Step-by-step explanation:

use the formula x-98=110 since range is the highest number of the group subtracted by the lowest.

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer:

x³²

Step-by-step explanation:

When raising exponents to another power, multiply the exponents given.

That means that:

(x⁴)⁸ = x⁽⁴⁾⁽⁸⁾ = x³²

So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of the line passing through points A and B can be calculated as follows:

slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1

The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To find the y-intercept, we can use point A (0,0) and substitute the slope value.

y = mx + b

0 = 1(0) + b

b = 0

Therefore, the equation of the line passing through points A and B is:

y = 1x + 0

Simplifying, we get:

y = x

So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:

y - 0 = 1(x - 0)

y = x

This confirms our earlier answer.

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The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

D. moving red blood cells around the body

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

quisiera ayudarte pero no hablo inglés