I tried everything and I cant get the 2nd answer for this

The required equation of the line which contains the points (−7,2) and (2,−2) is y = -4/9x - 8/9.

A straight line's general equation is y = MX + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

The equation of the line's general form is:

y = MX + c

Where, m = slope, c = y-intercept and slope = ( y₂ - y₁ ) / ( x₂ - x₁ ).

Determine the line's slope:

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -2-2) / (2+7 )

Slope= -4/9

The y-intercept is determined as follows:

y = MX + c

2 = -4/9x 2+c

c = -8/9

The lines' equation:

y = MX + c

y = -4/9x - 8/9

Therefore, the required equation of the line which contains the points (−7,2) and (2,−2) is y = -4/9x - 8/9.

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Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

9514 1404 393

Answer:

  an infinite number

Step-by-step explanation:

Subtract 9x -5 from both sides.

  (9x -5) -(9x -5) = (9x -5) -(9x -5)

  0 = 0

This is true for all values of x. There are an infinite number of solutions.

_____

Additional comment

When you subtract one side of the equation from the other, there are three possible results:

Answer:

y = 12

Step-by-step explanation:

Use the equation y = kx

Plug in x and y to find k:

2 = k(16)

1/8 = k

Then, plug in 1/8 as k and 96 as x to find y:

y = 1/8(96)

y = 12

Answer:

4, 2, 9, 3, 6

Step-by-step explanation:

756/4= 189

756/2= 378

756/9= 84

756/25= 30.24

756/5= 151.2

756/8= 94.5

756/10= 75.6

756/3= 252

756/6= 126

Answer:

770,400

Step-by-step explanation:

770,400 seconds

Answer:

1620

Step-by-step explanation:

Answer:

Step-by-step explanation:

4. 3 5 6 8 2

5. 3 4 6 2

Answer:

LM = 22

Step-by-step explanation:

11(44) = (LM)^2

484 = (LM)^2

LM = √484 = 22

Answer:

LM = 22

Step-by-step explanation:

If a tangent segment and a secant segment are drawn from an exterior point to a circle, then the square of the measure of the tangent segment is equal to the product of the measures of the external secant segment and the secant segment.

So for this circle,

So LM² = NM · OM

Given:

  LM² = 11 · 44 = 484

⇒ LM = √484 = 22

Answer:

36.3636364%

or 36.36

Step-by-step explanation:

Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.

The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.

This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.

here, we have,

Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.

Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.

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Answer: 17.6

Step-by-step explanation:

16*10/100

160/100

1.6+16

17.6

Answer:

17.6 feet

Step-by-step explanation:

16*10%(or 0.10)= 1.6 feet which is 10% of his 16 foot jump

16+ the 10% increase of 1.6= 17.6 feet as his new record

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

a) perpendicular b) parallel c) perpendicular  d) neither

Step-by-step explanation:

Perpendicular means that the lines will intersect/cross and create a 90 degree angle

Parallel lines will never intersect/cross because they are going the same way.

Answer:

Hello,

Answer: B   : y=(m-3)*(x+1)²3

Step-by-step explanation:

The parabola with vertex (-1,3)

is y=k(x+1)²+3

(0,m) is a point of the parabola:

m=k*(0+1)²+3 ==> k=m-3

So, y=(m-3)*(x+1)²+3 is the correct equation.

The right answers are:

Hope it helps.

please see the attached picture for full solution

Good luck on your assignment

Answer:

$9.03

Step-by-step explanation:

Using x for pay rate

63.24=7x Divide both sides by 7

x=9.03

A) The total change in the value is 448 dollars.

B) The change per week is -7, the negative sign is because the number of members decreases.

A) We know that Ashley has 56 shares of a stock, and yesterday each share increased its value by 8 dollars.

The if the original value of each share is X, then the change in the value of Ashley shares is:

56*(X + $8) - 56*X

56*$8 = $448

The total change in the value of her shares is 448 dollars.

B) What was the change each week?

We know that the Private Club lost 42 members in 6 weeks, then the number of members lost per week is:

42/6 = 7

This means that each week there are 7 members less, then the change per week in the total number of members is -7.

Where the negative sign means that this is a decrease.

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1)

The axis of symmetry is x = -6.

2)

Vertex is (-6, 26).

3)

f(x) has a maximum value.

4)

f(x) is concave down.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

f(x) = -x² - 12x - 10

This is in the form of ax² + bx + c.

a = -1, b = -12, c = -10

The axis of symmetry is x = -b/2a

x = 12/(-2)

x = -6

Now,

f(x) = -x² - 12x - 10

f(x) = -(x² + 12x + 10)

f(x) = - { (x² + 12x + 36) - 36 + 10}

f(x) = -(x + 6)² + 26

This is in the form of f(x) = a (x - h)² + k

a = -1, h = -6, k = 26

Vertex = (h, k) = (-6, 26)

Now,

f(x) = -x² - 12x - 10

f'(x) = -2x - 12

f''(x) = -2

It is a negative value.

This means f(x) has a maximum value.

Now,

From the graph, we see that f(x) is concave down.

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Answer:

4x

Step-by-step explanation:

5x=5*x

take 5 and subtract 1

5-1=4

4*x in simple = 4x

y=4x

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Answer:

1 3/8 -  -2/3 - 5/6. =

1 - 5/6 = 2/8

Step-by-step explanation:

answer = 2/8/ 1/32 = 2 1/16

Answer:

Step-by-step explanation:

To find the exact value of sin(-165 degrees), we can use the trigonometric identity:

sin(-θ) = -sin(θ)

Since sin(165 degrees) is positive, sin(-165 degrees) will be negative. Therefore:

sin(-165 degrees) = -sin(165 degrees)

Now, let's calculate the exact value of sin(165 degrees). We can use the fact that sin(180 degrees - θ) = sin(θ) and sin(θ) = sin(180 degrees + θ). Therefore:

sin(165 degrees) = sin(180 degrees - 15 degrees) = sin(15 degrees)

To find the exact value of sin(15 degrees), we can use the half-angle formula:

sin(θ/2) = sqrt((1 - cosθ)/2)

Let's calculate it:

θ = 15 degrees

cosθ = cos(15 degrees)

Using the half-angle formula:

sin(15 degrees) = sqrt((1 - cos(30 degrees))/2)

Now, we need to calculate cos(30 degrees). We know that cos(30 degrees) = sqrt(3)/2. Substituting this value:

sin(15 degrees) = sqrt((1 - sqrt(3)/2)/2)

To simplify this expression further, we can rationalize the denominator:

sin(15 degrees) = sqrt(2 - sqrt(3))/2

Finally, substituting this value into the equation for sin(-165 degrees):

sin(-165 degrees) = -sin(165 degrees) = -sqrt(2 - sqrt(3))/2

So, the exact value of sin(-165 degrees) is -sqrt(2 - sqrt(3))/2.

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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The loan factor that would be used for the calculation is; 12.84

According to the question;

The loan factor to be used to calculate the amount to be paid is given from compound interest formula as;

Loan factor = (1 + 0.1075)²⁵

Hence;

Loan factor = (1.1075)²⁵

Loan factor = 12.84.

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Answer:

y = (5/7)x + (75/7)

Step-by-step explanation:

If you ever find yourself in a math class where you have to write the equation of a line that goes through a certain point and has a certain slope, don't panic. There is a simple formula that can help you out. It's called the point-slope form and it looks like this:

y - y1 = m (x - x1)

It may look scary, but it's actually pretty easy to use. All you have to do is plug in the values that you know and solve for the ones that you don't. For example, let's say you have a line that passes through the point (-1, 10) and has a slope of 5/7. You can use the point-slope form to write the equation of the line like this:

y - 10 = (5/7) (x - (-1))

See? That wasn't so bad. Now you can simplify the equation by distributing the 5/7 and adding 10 to both sides. You get:

y = (5/7)x + (75/7)

And that's it! You have written the equation of the line in slope-intercept form, which is another way of writing the equation of a line. You can check your answer by plugging in the values of x and y from the original point and seeing if they make the equation true. If they do, you're good to go. If not, you made a mistake somewhere and you should go back and fix it.

Congratulations! You have learned how to use the point-slope form to write the equation of a line. Now you can impress your math teacher and your friends with your skills.  Remember, with great power comes great responsibility.

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

Answer:

76 if you add it all together for the f6g

Answer:

neither

Step-by-step explanation:

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).