PLEASE HELP URGENCY
We know A(0;1) & B(4;-3) & C(-2;7)
If f is the homothety of the centre B and of magnitude -2 and g the translation of the vector v =(1,-2). Determine the points P and R such that P = f(A) and R = f(g(C))

Mikaela would not be able to run for the same distance as she would on her bicycle in one hour. This is because running is a much more strenuous activity than cycling, and humans generally can't maintain the same speed when running as they can when cycling. Therefore, it is not possible to determine how many kilometers Mikaela could run in one hour.

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

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

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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The area of the hot tub to be installed for local spa is 6358.5 in².

For the given question;

The diameter of the hot tub to be installed for local spa is 90 inches.

Then, radius is 90/2 = 45 inches.

The area of the circle is;

Area = πr²

Where,  π = 3.14

Put the values;

Area = 3.14×45²

Area = 6358.5

Thus, the area of the hot tub to be installed for local spa is 6358.5 in².

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The solution to the equation:

5x = 8/2

is x = 4/5

the given equation seems to be:

5x = 8/2

If we simplify the left side, we get:

5x = 4

Now we can divide both sides of our equation by 5, so we isolate the variable x to get:

x = 4/5

In this way, we conclude that the solution to the given equation.

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Answer:

\(y=\frac{-5}{4}x-7\)

Step-by-step explanation:

Answer:

\(-1\frac{13}{16}\)

Step-by-step explanation:

First let's put our equation to get started

\(-3\frac{5}{8}\cdot\frac{1}{2}\)

We can make this an improper fraction by multiplying the integer with the denominator.

Then you would add the total you got with multiplying the total that you got from the whole number and the denominator

\(-\frac{29}{8} \cdot\frac{1}{2}\)

Now we can solve it

\(-29\cdot1=-29\)

\(8\cdot2=16\)

Now our equation is

\(-\frac{29}{16}\)

Definition - reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible

Once we've reduced we will have our equation being

\(-1\frac{13}{16}\)

The Remainder is 3 and the Quotient is 2141.

Therefore,

The given Divisor = 4 and Dividend = 8567

4 ÷ 8567

= 2141.75

The Quotient is 2141 and the Remainder is 3

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Answer:

one can would be about $0.41

Step-by-step explanation:

Take $2.46 and divide it by 6 because that is the number of cans in the pack, the answer is $0.41 per can.

Answer:$9,100.09

Step-by-step explanation:

Answer:

A. (0,1)

B. (0,0) Origin

C. (1,0)

Step-by-step explanation: Given points A(4,1) B(4,0) and C(5,0), we are told to find the coordinates of A, B and C when (x, y)-->(x-4, y). A(4,1) becomes A(4-4,1) which is A(0,1). B(4,0) becomes B(4-4,0) which is (0,0), and is also known as the origin of the graph. C(5,0) becomes C(5-4,0) which is (1,0). Hope that this makes sense. Have a great day!

Point A:

\(A(4,1)\)

\(A(4-4,1)\)

\(A(0,1)\)

Point B:

\(B(4,0)\)

\(B(4-4,0)\)

\(B(0,0)\)

Point C:

\(C(5,0)\)

\(C(5-4,0)\)

\(C(1,0)\)

Answer:

C) y=x+3

Step-by-step explanation:

I did it and got it right

Part A

If the number is n, then the expression is 7n+6.

Part B

Three times the sum of a number and 8.

No, it is not possible to have a connected graph with six vertices of degrees 1, 1, 2, 2, 2, and 3.

As we know that the sum of the degrees of the vertices in a connected graph must be equal to twice the number of edges.

So, in this case, the sum of the degrees must be equal to 2 * K, where K is the number of edges in the graph.

Since the degrees of the vertices are 1, 1, 2, 2, 2, and 3,

the sum of the degrees is 1 + 1 + 2 + 2 + 2 + 3 = 11.

The number of edges must be K = 11 / 2 = 5.5,

which is not possible as the number of edges must be a positive integer.

Therefore, it is not possible to have a connected graph with six vertices of degrees 1, 1, 2, 2, 2, and 3.

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The equation of the directrix to the right of the center is equal to 2.8.

Given the following data:

(x - 1)²/9 - (y - 2)²/16 = 1.

Mathematically, the standard equation of the directrix lines for a hyperbola of the form (x - h)²/a² - (y - k)²/b² = 1 is given by:

x = h ± a²/√(a² + b²)

Where:

Substituting the given parameters into the standard equation, we have;

x = 1 ± a²/√(a² + b²)

x = 1 ± 9/√(9 + 16)

x = 1 ± 9/√25

x = 1 ± 9/5

x = 1 + 9/5

x = 1 + 1.8

x = 2.8.

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Answer: The answer is 2.8

Step-by-step explanation:

Answer:

\(\frac{8}{27}\) is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.

Step-by-step explanation:

In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:

Red: The player pulls out a red tile first. This has a \(\frac{1}{9}\) probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a \(\frac{6}{12}\) probability attached to it. \(\frac{1}{9}\) × \(\frac{6}{12}\)=\(\frac{1}{18}\) probability of happening.

Green: There is a \(\frac{5}{9}\) probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be \(\frac{4}{12}\). \(\frac{5}{9}\)×\(\frac{4}{12}\)=\(\frac{5}{27}\).

Blue: There is a \(\frac{3}{9}\) probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is \(\frac{2}{12}\) on its own, and them both being blue is  \(\frac{3}{9}\)×\(\frac{2}{12}\)=\(\frac{1}{18}\)

Adding \(\frac{1}{18}\)+\(\frac{1}{18}\)+\(\frac{5}{27}\) we get the answer \(\frac{8}{27}\).

The answer is (a): \($\mathbf{8 0 0 0}$\)

We have 20 options for each number. Each position is distinct from the others.

Thus, by counting the total number of options, \($=20^{3}=8000$\)

What is combination?

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Answer: draw a diagonal line

Step-by-step explanation:

like this:

since it's going up, it's a positive slope

Answer:

positive slope line : start from left, bottom and draw a line to top right. uphill

negative slop : start from left top and draw a line to the right bottom. downhill

undefined : draw a vertical line

0 slope : draw a horizontal line ↔

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Answer:

Step-by-step explanation:

Answer:

it's cube is = p^3-147p^2+7203p-117649

Step-by-step explanation:

cube of (p - 49) is = (p-49)^3

we have(a - b)3 = a3 - 3a2b + 3ab2 - b3

then

(p-49)^3=p^3-3*p^2*49+3*p*49^2-49^3

=p^3-147p^2+7203p-117649

Answer:

revertive is correct. The answer is -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A), C), E)

Step-by-step explanation:

The probability of randomly getting a red or green counter is:

P = 39%/100% = 0.39

We know that 40% of the counters are red or white. Then 60% of the counters are blue or green.

Now we know that the ratio of red to white is 3:5

Then the percentage of red counters is:

(3/8)*40% = 15%

And the ratio of blue to green is 3:2

Then the percentage of red counters is:

(2/5)*60% = 24%

Then the percentage of counters that are either red or green is:

15% + 24% = 39%

Then the probability of randomly getting a red or green counter is:

P = 39%/100% = 0.39

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Answer:

Step-by-step explanation:

If these were similar, then the ratio 35/18 (the top and bottom measures from each of the polygons) would have to equal the ratio 63/10 (the side measures from each of the polygons).

35/18 = 1.944444

63/10 = 6.3

They are not similar because the simplified ratios are not the same.

Answer:

C.

Step-by-step explanation:

You have use slope form.

Therefore, the equations of the tangents to the curve that pass through the point (4, 3) are: y - 3 = (6 / (31² - 3))(x - 4) (Tangent 1) and y - 3 = (-6 / (31² - 3))(x - 4) (Tangent 2).

To find the equations of the tangents to the curve given by x = t² + 1 and y = 2t³ + 1 that pass through the point (4, 3), we need to find the values of t at which the tangents intersect the curve.

Let's first differentiate the equations of the curve with respect to t to find the slopes of the tangent lines:

dx/dt = 2t

dy/dt = 6t²

The slope of the tangent line is given by dy/dx. So, we have:

dy/dx = (dy/dt)/(dx/dt)

= (6t²)/(2t)

= 3t

Now, we can find the values of t by equating the slope of the tangent line to 3t and substituting the coordinates (4, 3) into the equations:

3t = (y - 3)/(x - 4)

Substituting the expressions for x and y from the given curve:

3t = (2t³ + 1 - 3)/(t² + 1 - 4)

3t = (2t³ - 2)/(t² - 3)

3t(t² - 3) = 2t³ - 2

3t³ - 9t = 2t³ - 2

t³ - 9t - 2 = 0

This is a cubic equation that we can solve to find the values of t. However, finding the exact solutions may be challenging. We can use numerical methods or calculators to approximate the values of t. Once we have the values of t, we can substitute them back into the equations x = t² + 1 and y = 2t³ + 1 to find the corresponding points on the curve.

Step 1: Find the derivative of the parametric equations.

The given parametric equations are:

x = 31² + 1

y = 2t³ + 1

To find the derivative of y with respect to x, we can use the chain rule. Differentiating both sides of the equations with respect to t, we have:

dx/dt = 0 (derivative of a constant is 0)

dy/dt = 6t²

Now, we can find dy/dx using the chain rule:

dy/dx = (dy/dt) / (dx/dt)

= (6t²) / (0)

Since we want to find the equations of tangents at a specific point (4, 3), we can substitute the x-coordinate (31² + 1) into the derivative equation and solve for t:

(6t²) / (0) = (3 - 1) / (31² + 1 - 4)

Simplifying the equation, we get:

6t² = 2 / (31² - 3)

Step 2: Solve for t.

Dividing both sides by 6, we get:

t² = 1 / (3(31² - 3))

Taking the square root of both sides, we have:

t = ±√(1 / (3(31² - 3)))

Step 3: Substitute the value of t into the parametric equations to find the corresponding points.

Substituting t = √(1 / (3(31² - 3))) into the parametric equations, we get the corresponding point P1:

x₁ = (31² + 1)

y₁ = 2(√(1 / (3(31² - 3))))³ + 1

Similarly, substituting t = -√(1 / (3(31² - 3))) into the parametric equations, we get the corresponding point P2:

x₂ = (31² + 1)

y₂ = 2(-√(1 / (3(31² - 3))))³ + 1

Step 4: Find the equation of the tangent lines.

We can use the point-slope form of the equation of a line, y - y₁ = m(x - x₁), to find the equations of the tangent lines passing through (4, 3) and the points P1 and P2.

For P1:

m₁ = dy/dx evaluated at t = √(1 / (3(31² - 3)))

= 6(√(1 / (3(31² - 3))))²

= 6 / (31² - 3)

Using the point-slope form, the equation of the tangent line passing through (4, 3) and P1 is:

y - 3 = (6 / (31² - 3))(x - 4)

For P2:

m₂ = dy/dx evaluated at t = -√(1 / (3(31² - 3)))

= 6(-√(1 / (3(31² - 3))))²

= -6 / (31² - 3)

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