Find AC. Need help fast.

Answer:

Mrs. Jones has the better deal

Step-by-step explanation:

Samantha has $300

Mrs. Jones charges $80 per lesson and she requires three so we do 80* 3 (the lessons) which equals 240  

Mrs. Beliz charges $62 per lesson and requires 4 lessons so we do 62*4 (the lessons) which equals 248

240<240 (so Mrs. Jones has the better deal, she wants less money)

Answer:

Mrs. Jones

Step-by-step explanation:

Answer:

\(f(5)=9\)

Step-by-step explanation:

\(f(5)=2(5+3)-7=2(8)-7=16-7=9\)

The value of y is +12 or -12 or y = ±12 if the quadratic equation is y² = 144 option (A) y = ±12 is correct.

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

It is given that:

The quadratic equation is:

y² = 144

As we know, the polynomial equation is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

Taking square root on both sides:

y = ±√144

y = ±12

Thus, the value of y is +12 or -12 or y = ±12 if the quadratic equation is y² = 144 option (A) y = ±12 is correct.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ5

Answer:

The answer is g(x)=(x-2)^2+1

Step-by-step explanation:

The equation of the blue graph is y = (x - 4)² + 1.

Option D is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The graphs of y = x² and y = (x - 4)² + 1 are both parabolas.

The graph of y = x² is a simple upward-facing parabola that passes through the origin.

As x increases or decreases, the value of y increases but at an increasingly slower rate until it reaches a minimum at x = 0, where it turns back upwards and continues to increase at an increasingly faster rate.

The graph of y = (x - 4)² + 1 is also a parabola, but it is shifted 4 units to the right and 1 unit up compared to y = x².

Thus,

The equation of the blue graph is y = (x - 4)² + 1.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Using Euler's method, the approximation for y(0) with a step size of h = 0.5 is [approximation]. With a step size of h = 0.25, the approximation for y(0) is [approximation], both with a precision of 0.01.

Euler's method is a numerical technique used to approximate the solution of a first-order ordinary differential equation. Given an initial value problem, Euler's method approximates the solution by taking small steps and using the derivative at each step to estimate the change in the function.

For the first approximation with a step size of h = 0.5, the specific details of the initial value problem and the equation are missing in the provided question.

However, applying Euler's method, you would start with the initial condition at t = 0 and use the derivative to estimate the change in y. The process would be repeated until reaching the desired precision of 0.01, and the approximation for y(0) would be obtained.

Similarly, for the second approximation with a step size of h = 0.25, the same process would be followed using smaller steps. The derivative would be used to estimate the change in y at each step, and the process would be repeated until achieving a precision of 0.01. The resulting approximation would give the value of y(0) with the desired precision.

To learn more about Euler's method visit:

brainly.com/question/32200069

#SPJ11

Answer:

3x +7x -2y + 3y

10x - 5y

5xy

Answer:

it's an equilateral triangle, so all the angles will be equivalent.

2x + 2x + 2x = 180

6x = 180

x = 30°

Answer:

30

Step-by-step explanation:

So, the solve this, lets first find the type of traingle it is.

Well, all the sides are equal, beign 3, so it must be a equalaterial triangle.

This means both the sides and angles will be the same.

Remember, there are 180 degrees in a triangle.

So we can think of it like this, since there are 3 angles, each being 2x:

6x=180 degrees

Now we can just get x alone by divide by 6:

x=30

So your answer is 30!

I hope this helps! :)

Answer:

y = ( 3x / 2 ) - ( 1 / 4 )

Step-by-step explanation:

Slope-intercept form is y = mx + b

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

To know more about equation:

https://brainly.com/question/29657983

#SPJ1

The measure of the vertex angle is 53.3degrees, the equation is 3x+20=180.

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The triangles on either side of the diagonals are isosceles and congruent.

Given;

Each base angle in an isosceles triangle is 10 degrees larger then the vertex angle.

The addition of the internal angles of triangle is 180

So, let vertex angle be x

The other two sides will be x+10,

x+x+10+x+10=180

3x+20=180

x=160/3

x=53.3

Therefore, the vertex angle of the triangle will be 53.3degrees.

Learn  more about isosceles right angled triangle here:

https://brainly.com/question/27190025

#SPJ1

For the given two similar triangles the value of x is equal to 7 units.

Figure is attached.

In triangle ABC and DBE,

Measure of ∠ABC = Measure of ∠DBE

Measure of ∠ACB = Measure of ∠DEB

By AA,

ΔABC is similar to ΔACB with correspondence DBE ↔ ABC

In the triangle ABC,

Measure of side length AB = AD + DB

                                             = 6 + 8

                                             = 14

Measure of side length BC = 3x

In triangle DBE,

Measure of side length DB = 8

Measure of side length BE = 2x - 2

In similar triangle corresponding sides are in proportion

⇒ AB / DB = BC / BE

⇒14 / 8 = 3x / (2x -2 )

⇒14 ( 2x -2 ) = 3x (8 )

⇒ 28x - 28 = 24x

⇒ 28x - 24x = 28

⇒4x = 28

⇒ x = 7 units

Therefore, the value of x for the two similar triangles is 7 units.

The above question is incomplete , the complete question is :

The two triangles are similar. What is the value of x? Enter your answer in the box. x=square.

Figure attached.

learn more about triangle here

brainly.com/question/2773823

#SPJ4

The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.

The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.

The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.

So, the correct answer is:

b. 3.142

Visit here to learn more about function call:

brainly.com/question/25762866

#SPJ11

Answer:

12

Step-by-step explanation:

x + y = -2 (eq. 1)

2x - y = 14 (eq. 2)

Isolating y from the first equation:

y = -2 - x

Substituting this result into the second equation:

2x - (-2 - x) = 14

2x + 2 + x = 14

3x + 2 = 14

3x = 14 - 2

3x = 12

x = 12/3

x = 4

Then

y = -2 - x

y = -2 - 4

y = -6

Answer:

x = 4

Step-by-step explanation:

The easiest way to do this is to look at the vertical angles. (15x)º has its own vertical angle, and the part with (8x-2)º and 90º does as well.

Also, every angle will add up to 360º, which is a crucial part of the equation

Do 15x + 15x + 90 + 90 + 8x - 2 + 8x - 2 = 360

This can be simplified into this once you combine like terms:

46x + 176 = 360

Subtract 176 from 360, which will give you:

46x = 184

Divide by 46 on both sides, resulting in:

x = 4

To check the answer, plug in 4 for x:

15(4) + 15(4) + 90 + 90 + 8(4) - 2 + 8(4) - 2 = 360

60 + 60 + 90 + 90 + 32 - 2 + 32 - 2 = 360

120 + 180 + 60 = 360

360 = 360, x is 4

Hope this made sense!

The correct answer is: B. The function has no local maximums and has local minimums at approximately x = 5.8 and x = 28.8 (rounded to the nearest tenth).

To determine the location of the local extrema (maxima and minima) of the function f(x) = -0.697x^3 + 16642x^2 - 102407x + 650015, we need to find the critical points where the derivative of the function is equal to zero or does not exist. First, let's find the derivative of f(x) with respect to x: f'(x) = -2.091x^2 + 33284x - 102407. To find the critical points, we set f'(x) = 0 and solve for x: -2.091x^2 + 33284x - 102407 = 0. Using the quadratic formula, we can solve for x: x = (-b ± √(b^2 - 4ac)) / (2a). Plugging in the values a = -2.091, b = 33284, and c = -102407, we can calculate the values of x: x ≈ 5.779 or x ≈ 28.755. These are the potential locations of the local extrema.

To determine whether these points are maxima or minima, we can analyze the concavity of the function. Taking the second derivative, we have: f''(x) = -4.182x + 33284. Setting f''(x) = 0 and solving for x: -4.182x + 33284 = 0; x ≈ 7963.28. Since the second derivative is negative for x < 7963.28, we can conclude that x ≈ 5.779 corresponds to a local maximum, and x ≈ 28.755 corresponds to a local minimum. Therefore, the correct answer is: B. The function has no local maximums and has local minimums at approximately x = 5.8 and x = 28.8 (rounded to the nearest tenth).

To learn more about   local maximums click here: brainly.com/question/29404086

#SPJ11

Answer:

factors

Step-by-step explanation:

To find the roots of a polynomial, it is often useful to find the Factors of the polynomial.

Answer:

(3/5):9/15

This is because 9/15 simplified is 3/5

Answer:

Width = 25

Length = 58

Step-by-step explanation:

Let the width = w

Length = 2w + 8

2(w + 2w + 8) = 166               Combine terms in the brackets

2(3w + 8) = 166                      Divide both sides by 2

(3w + 8) = 83                          Subtract 8 from both sides

3w = 83 - 8

3w = 75                                  Divide by 3

w = 25

L = 2*25 + 8                           Find the Length

L = 50 + 8 = 58                      

The square has the maximum area among all the rectangles inscribed in a given fixed circle.

To show that the square has the maximum area among all the rectangles inscribed in a given fixed circle, we will compare the areas of the square and a generic rectangle.

Consider a circle with a fixed radius. Let's inscribe a rectangle in the circle, where the length of the rectangle is greater than its width. The rectangle can be positioned in various ways inside the circle, but we will focus on the case where the rectangle is aligned with the diameter of the circle.

Let the length of the rectangle be L and the width be W. Since the rectangle is inscribed in the circle, its diagonal is equal to the diameter of the circle, which is twice the radius.

Using the Pythagorean theorem, we have:

L^2 + W^2 = (2r)^2

L^2 + W^2 = 4r^2

To compare the areas of the square and the rectangle, we need to maximize the area of the rectangle under the constraint L^2 + W^2 = 4r^2.

By substituting W = 4r^2 - L^2 into the area formula A = LW, we get:

A = L(4r^2 - L^2) = 4r^2L - L^3

To find the maximum area, we can take the derivative of A with respect to L and set it equal to zero:

dA/dL = 4r^2 - 3L^2 = 0

4r^2 = 3L^2

L^2 = (4/3)r^2

L = (2/√3)r

Substituting this value of L back into the area formula, we get:

A = (2/√3)r(4r^2 - (2/√3)r^2)

A = (8/√3)r^3 - (2/√3)r^3

A = (6/√3)r^3

Comparing this with the area of a square inscribed in the circle, which is A = (2r)^2 = 4r^2, we can see that the area of the rectangle is (6/√3)r^3, while the area of the square is 4r^2.

Since √3 is approximately 1.732, the area of the rectangle is greater than the area of the square: (6/√3)r^3 > 4r^2.

Therefore, we have shown that among all the rectangles inscribed in a given fixed circle, the square has the maximum area.

In summary, the square, with all sides equal and each side being the diameter of the circle, has the largest area compared to any other rectangle that can be inscribed in the circle.

For more such questions on square, click on:

https://brainly.com/question/27307830

#SPJ8

The equation of an ellipse has the following structure:

Where a is the major radius, b is the minor radius (when the ellipse is horizontal), and the center of the ellipse is located at the point (h,k).

We can say this ellipse is horizontal because the foci are located at the same height (1). Joining both of them will form a horizontal line coincident with the longest axis of the ellipse.

Both foci are equally distanced from the center, then we can estimate the coordinates of the center of the ellipse. We just need to find the midpoint between (-3,1) and (7.1). We already know that the y coordinate of the center is 1 because both foci and the center are located at the same horizontal line. For the x coordinate we just need to average the x coordinates of both foci:

With this, we can say that the center of the ellipse is located at point 2,1. Then, h=2 and k=1.

We can calculate the major radius since we already know the center and one vertex. The major radius is the distance between those points. Since they are located at the same horizontal line (y=1), the distance between them is simply the difference in x coordinate. If one vertex is at (-10,1) and the center is at (2,1), the distance between them is (2-(-10)) = 12. Then, the major radius of the ellipse is a = 12. We just need to calculate the minor radius of the ellipse to be able to buld the equation.

There is certain relationship between major radius (a) minor radius (b) and the focal distance (c). The focal distance of the ellipse is measured from the senter to each focus. For this ellipse, its value will be 7-2=5.

The minor radius and focal distance form a right angle, and the distance from the foci to the upper part of the ellipse is equal to the major radius. Then, applying Pythagoras theorem to the triangle that is formed we can say:

We can calculate b now, recalling that a=12 and c=5:

Then, the equation can be built with all the information now.

a = 12 -> a^2 = 144

b = √119 -> b^2 = 119

h = 2

k = 1

Answer:

it is true

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

6 hours 12 minutes = 6.2 hours

7 hours 18 minutes = 7.3 hours.

Average speed = distance / time

So for West to East,  average speed =  3800 / 6.2 = 612.9 km/hour.

- and  for East to West,  average speed =  3800 / 7.3  = 520.5  km/hour.

These values are correct to the nearest tenth.

Answer:

D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

C. Y= 3x - 4

Answer:

The distance would be 6.7 or 3✓5

Step-by-step explanation:

Im sure there's a faster way to find this, but I'm in 8th grade sooo yeah.

First things first we can use the equation

d=✓(X2-X1)*2+(Y2-Y1)*2

X2= 8

X1= 5

Y2= 13

Y1= 7

From here, you plug in the values and do as followed. You subtract the values to get the answer. For example 8-5 would get us (3)*2.

From here you square the 3 to get 9. You also do the same to the right side of the equation.

Now you have d=✓(3)*2 + (6)*2

From here you square it and you get d=✓9+36

Now we have: d✓45

Now we square the 45 to get 6.7082..., but we round the answer to get 6.7!

Hope this helps! If you have any questions please feel free to ask, as I understand the struggle of math! :)

Answer:

the distance would be 6.7

Step-by-step explanation:

Triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

(22). by Pythagoras rule;

z = √(5² - 3²) = 4

sin x = 4/5

x = sin⁻¹(4/5) {cross multiplication}

x = 53.1301

y = 180 - (53 + 90) {sum of interior angles of a triangle}

y = 37°

(23). cos 25 = 75/z {adjacent/hypotenuse}

z = 75/cos 25 {cross multiplication}

z = 82.7533

sin 25 = x/82.7533

x = 82.7533 × sin 25 {cross multiplication}

x = 34.9731

y = 180 - (25 + 90)

y = 65°

Therefore, the triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.

Read more about trigonometric ratios here: https://brainly.com/question/11967894

#SPJ1

Answer:

6j + 6r :)))))))))))))))))

Answer:

6j + 6r

Step-by-step explanation:

From the given information provided, the average stopping distance is 316 feet for car travelling at 65mph on dry level pavement.

The average stopping distance of a car traveling at 65 mph on dry, level pavement depends on various factors, such as the condition of the pavement, the condition of the tires, the weight of the car, and the efficiency of the braking system.

However, as a general estimate, the average stopping distance of a car traveling at 65 mph on dry, level pavement is about 316 feet. This includes both the reaction time of the driver and the braking distance of the car. It's important to note that this is an average estimate and actual stopping distance can vary depending on the conditions mentioned above. It's always best to drive at a safe speed and maintain a safe distance from other vehicles to avoid accidents.

Learn more about average here: brainly.com/question/130657

#SPJ4