What slope would make the linesPerpendicular? Y= -1/6x -3 Y= [?]x + 1

we have the following:

the first thing to do is calculate the value of each f(x)

then having each point, we join them and in this way we obtain the graph

now,

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:

x = 136°

Step-by-step explanation:

the third angle of the triangle is 180 - (90+46), which is 44. Because a straight line is 180°, x is 180 - 44. x = 136°

Answer:

look according to the exterior angle of triangle

Step-by-step explanation:

exterior angle = sum of other two angle (except adjacent angle of that exterior angle)

so x=90°+46°=136°

Answer:

haha

Step-by-step explanation:

Answer: b

Step-by-step explanation:

The range is the set of y-values of the function.

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

Answer:

108%

Step-by-step explanation:

its asking what is the annual growth of roaches and the monthly is 9% so the cockroach population will increase 108% per year

(annual means yearly so 12 months)

Answer:

15,900

Step-by-step explanation:

An equation is a way of writing two expressions connected by an equal sign.

If the total cost of leasing a car in m month is given by an equation:

c = 450m + 1500

The total cost in dollars, of leasing a car for 32 months is $15,900.

An equation is a way of writing two expressions connected by an equal sign.

Example:

2x = 3x + 5 is an equation.

We have,

The cost of leasing a new car per month = $450

Down payment = $1500

The total cost of the lease is given as:

c = 450m + 1500

m = number of months.

The total cost of the car for leasing in 32 months:

c = 450 x 32 + 1500

c = 14,400 + 1500

c = 15,900

Thus,

The total cost in dollars, of leasing a car for 32 months is $15,900.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

2.3333333 miles in 3.5 minutes = 2.3333333 / 3.5 =

2/3 miles per minute or

.66666666 miles per minute

In 34 minutes, it can travel 34 * (2/3) = (68/3) =

22 (2/3) miles

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

The inequalities which satisfy the number line shown is x>2 and x>=2.

We are given that;

The number line showing inequality

Now,

x>2 satisfies the equation by the given number line

x>=2 satisfies the equation by the given number line

x<=-3 does not satisfies the equation by the given number line

x<=-3 does not satisfies the equation by the given number line

Therefore, by the number line the answer will be x>2 and x>=2 .

Learn more about number line here:

brainly.com/question/13425491

#SPJ1

The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

To know more about interest rate visit:

https://brainly.com/question/13324776?referrer=searchResults

#SPJ1

To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

For more questions on the circle

https://brainly.com/question/28162977

#SPJ8

Answer:

Step-by-step explanation:

The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

learn more on expression here: https://brainly.com/question/11133268

#SPJ1

Answer:

The missing angle B:

Step-by-step explanation:

Given the angles

A = 100⁰

C = 55⁰

B = ?

We know that the sum of the angles of triangles is 180⁰.

so

A + B + C = 180⁰

100⁰ + B + 55⁰ = 180⁰

B =  180⁰ - 55⁰ - 100⁰

B =  25⁰

Therefore, the missing angle B:

m∠B = 25⁰

The solution is:

a) 22-t mph; is the rate of the boat when it travels upstream.

b) 22+t mph. is the rate of the boat when it travels downstream.

Here, we have,

a) When the boat travels​ upstream, the current hinders the boat (the speed of the boat decreases). Thus, the speed of the boat upstream becomes

22-t mph.

b) When the boat travels​ downstream, the current helps the boat (the speed of the boat increases). Thus, the speed of the boat downstream becomes

22+t mph.

Hence, The solution is:

a) 22-t mph; is the rate of the boat when it travels upstream.

b) 22+t mph. is the rate of the boat when it travels downstream.

To learn more on speed click:

brainly.com/question/28224010

#SPJ1

Answer:

The slope of a line that is parallel to the graph of the function below is 1/4x

Step-by-step explanation:

The only way you can have a line that stays parallel to another is if they have the same slope, and the slope of them both is 1/4x

Answer:

D.  4

Step-by-step explanation:

If he leaves the science assignments for the next day, he will spend zero hours on science assignments.  This means that y is equal to 0.  Plug this into the given equation and solve for x.

2x + y = 8

2x + 0 = 8

2x = 8

x = 4

Gerald can complete 4 math assignments.

Answer:

1. y = 4

2. x = 10

3. n = 6

4. m = 4

5. h = 2

Step-by-step explanation:

Hope this helps!!

Answer:

171.38 - 15% plus tax= 171.23

Hope this helped!

Answer:

Step-by-step explanation:

B {y |-2 < y < 2}

Answer:

4

Step-by-step explanation:

Using it's concept, the percentage of employees with 8 or more years at the company reported that email is their preferred method of communication is:

D. 44.79%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = a/b x 100%

In this problem, there are 96 employees with 8 or more years of experience, of which 43 prefer email, hence the percentage is:

P = 43/96 x 100% = 44.79%.

Hence option D is correct.

More can be learned about percentages at https://brainly.com/question/10491646

#SPJ1

The value of x = 15.

The equation given is \(3^{14}\) + \(3^{14}\) + \(3^{14}\) = \(3^{x}\).

We can simplify this equation by adding the three terms on the left-hand side, which gives us 3(\(3^{14}\)) =\(3^{15}\).

Therefore, x = 15.

To understand why this is the case, we need to remember the laws of exponents.

The law of exponents states that when we multiply two numbers with the same base, we can add their exponents.

So, for example, \(3^{2}\) * \(3^{3}\) = \(3^{2+3}\) = \(3^{5}\).

Using this law, we can see that \(3^{14}\) +\(3^{14}\) + \(3^{14}\) is the same as 3 * \(3^{14}\).

And since 3 is also a factor of \(3^{15}\), we can combine the terms to get \(3^{15}\).

Therefore, x = 15.

We arrived at this conclusion by using the law of exponents to combine the terms on the left-hand side of the equation.

know more about law of exponents here:

https://brainly.com/question/11761858

#SPJ11

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

Answer:

7.275

Step-by-step explanation:

291/40 = 7.275

Hope this helps!

Answer:

7.275

Step-by-step explanation: