Match the following items.
Plane
Point
Line
Ray
Line segment

Answer:

Step-by-step explanation:

because you go with you first answer bc its going to be right

Answer:

see below

Step-by-step explanation:

y=x^2-4x-12

Set equal to 0 to find the zeros

0 =x^2-4x-12

Factor.  What 2 numbers multiply to -12 and add to -4

-6*2 = -12  

-6+2 = -4

0= (x-6) (x+2)

Using the zero product property

0=x-6         0 = x+2

x=6            x = -2

zeros: -2,6

Vertex

h = -b/2a = - (-4)/ 2(1) = 4/2 = 2

OR  Average the roots  (-2+6)/2 = 4/2 =2

The y coordinate is found by substituting into the equation

y = (2)^2 -4(2) -12

y = 4-8-12

y =-16

vertex : (2, -16)

Answer:

x = -2, 6

Vertex: (2,-16)

Step-by-step explanation:

x² - 4x - 12

x² - 6x + 2x - 12

x(x - 6) + 2(x - 6)

(x - 6)(x + 2) = 0

x = -2, 6

h = -(-4)/2

h = 4/2

h = 2

k = 2² - 4(2) - 12

k = 4 - 8 - 12

k = -16

Vertex: (2,-16)

Answer:

Step-by-step explanation:

Given the system of equation,

y = [tex]\frac{2x}{3}+2[/tex]...(1)

6x – 4y = –10 ...(2)

Substituting equation 1 into 2 we have;

6x - 4(2x/3 +2)= -10

6x -8x/3 -8 = -10

Multiplying through by 3;

18x-8x-24=-30

10x=-30+24

10x = -6

Dividing both sides by 10

10x/10 = -6/10

x = -0.6

Substituting x = -0.6 into equation 1 to get the value of y we have;

y = 2(-0.6)/3 + 2

y = -1.2/3 + 2

y = -0.4+2

y = 1.6

This shows that the linear equation has only one solution. The solution is

x = -0.6 and y = 1.6

Answer:

its b

Step-by-step explanation:

hope this helped

Answer:

Isosceles triangle.

Step-by-step explanation:

Answer:

Should be $160

Answer:

148ft

Step-by-step explanation:

To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.

Assuming the height from the pedestal to the top of the torch is y

The height of the statue is x

But we know the height of the pedestal = 150ft

The distance from the observer to the base of the pedestal = 250ft

And the angle of elevation = 50°

See attached document for better illustration.

Tanθ = opposite / adjacent

θ = 50°

Adjacent = 250

Opposite = y

Tan50 = t / 250

y = 50 × tan50

y = 50 × tan50

y = 50 × 1.1917

y = 297.925ft

The height of the statue from the base of the pedestal to the top of the torch is 297.925ft

The height of the statue = x

x = (height of the statue + height of the pedestal) - height of the pedestal

x = y - 150

x = 297.925 - 150

x = 147.925ft

Approximately 148ft

The height of the statue is 148ft

Answer:15

Step-by-step explanation:

Given

Craftsman sell 10 Jewelry set for $500 each

For each additional set he will decrease the price by $ 25

Suppose he sells n set over 10 set

Earning[tex]=\text{Price of each set}\times \text{no of set}[/tex]

Earning [tex]=(500-25n)(10+n)[/tex]

[tex]E=5000+500n-25n^2-250n[/tex]

differentiate to get the maximum value

[tex]\frac{dE}{dn}=-50n+250[/tex]

Equate [tex]\frac{dE}{dn}[/tex] to get maximum value

[tex]-50n+250=0[/tex]

[tex]n=\frac{250}{50}[/tex]

[tex]n=5[/tex]

Thus must sell 5 extra set to maximize its earnings.

Answer:

c. acute

Step-by-step explanation:

all angles are less than 90 degrees, so it is acute

We have been given graph of a limacon curve. We are asked to choose the equation that represents the given Limacon.

We can see that our given equation represents a cardiod. The equation of a vertical cardiod is in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] and equation of a horizontal cardiod is [tex]r=a\pm a\cdot \text{cos}(\theta)[/tex].

We can see that our given graph is a vertical cardiod, so its equation will be in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] .

The positive sign gives an upside-down cardiod and negative sign orients the cardiod upright.

Since our given graph is upright, so we will have a negative sign between 'a'.

Therefore, the equation [tex]r=2-2\cdot \text{sin}(\theta)[/tex] represents the given graph and option 'd' is the correct choice.

Answer:

C on edge 2022

Step-by-step explanation:

Answer:

C. 120°

Step-by-step explanation:

There are two paralell lines, one is part of Angle B, and the other of Angle Q. Then there is a diagonal line, coming at the same angle from B all the way to Q, because the other two lines are paralell. It basically means if you were to slide the flat line which is connected to Q up the diagonal line, it would fit perfectly with it's parallel. So the two angles; Angle B and Angle Q; are the exact same.

Hope this helped! Good luck with future math problems :)

Answer:

The answer for this question is 120 degrees

Step-by-step explanation:

Answer:

the hotel is four blocks west from the bus; the bus is four blocks east from the hotel.

The bus is 4 blocks east of the hotel.

Since a sightseeing bus picks up a group of tourists at a hotel, and it then travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south, to determine where the bus is in relation to the hotel, the following calculation must be carried out:

Therefore, the bus is 4 blocks east of the hotel.

Learn more in https://brainly.com/question/17249312

Answer:

3/6, 2/5, 0/5

Step-by-step explanation:

Final answer:

The percent increase in the price of iceberg lettuce is 140%.

Explanation:

To find the percent increase, we need to calculate the difference between the price at which iceberg lettuce is grown and shipped and the price at which consumers purchase it, and then divide that difference by the original price and multiply by 100.

Let's start by finding the difference:

Difference = Consumer price - Production price

Difference = 120 cents - 50 cents = 70 cents

Now, let's calculate the percent increase:

Percent Increase = (Difference / Production price) * 100

Percent Increase = (70 cents / 50 cents) * 100 = 140%

Answer:

n = y/(r+s)

Step-by-step explanation:

(rn+sn) / y = 1

Multiply each side by y

(rn+sn) / y  *y= 1*y

rn+sn = y

Factor out n

n(r+s) = y

Divide each side by (r+s)

n(r+s) / (r+s) = y/(r+s)

n = y/(r+s)

I dont know anything about these set of drivers

Answer:

A

Step-by-step explanation:

Take 20 and subtract 4.50. That leaves you with 15.5.

15.5 divided by 1.75 equals 8.

Hopes this helps! :)

Answer & Explanation Included:

f(x)= 2x - 4

f(5)= 2(5) - 4

f(5)= 10 - 4

f(5)= 6

Answer: 16

Step-by-step explanation: f(x) = 2x - 4 means that if we put an x into our function, a 2x - 4 comes out.

So if we want to find f(5), we're putting a 5 into our function which means that a 2(5) - 4 comes out which simplifies to 10 - 4 or 6.

So f(5) = 6 or the value of the function at 5 equals 6.

The probability of drawing a red ball from both urns is found by multiplying the probability of drawing a red ball from Urn I by the probability of drawing a red ball from Urn II. After simplification, the probability is [tex]\(\frac{77}{180}\)[/tex], which corresponds to answer choice D.

To calculate the probability of drawing a red ball from each of two urns, we must first determine the probability of drawing a red ball from Urn I, and then multiply that by the probability of drawing a red ball from Urn II. In Urn I, there are 14 red balls and a total of 24 balls (10 green + 14 red). So, the probability of drawing a red ball from Urn I is [tex]\(\frac{14}{24}\)[/tex].

In Urn II, there are 11 red balls and a total of 15 balls (4 green + 11 red). Hence, the probability of drawing a red ball from Urn II is [tex]\(\frac{11}{15}\)[/tex].

The joint probability of two independent events is the product of their individual probabilities, so to find the probability of drawing a red ball from both urns (P(red and red)), we multiply the two probabilities:

[tex]\(P(red \,\text{from Urn I}) \times P(red \,\text{from Urn II}) = \frac{14}{24} * \frac{11}{15}\)[/tex].

To simplify the calculation:

Therefore, the correct answer is D. 77/180.

Answer:

37.68

Step-by-step explanation:

12 times 3.14

hope this helps

Answer:

113.04

Step-by-step explanation:

The diameter is 12 which means the radius is 6

The formula to find the area of a circle is A=π r²

r²=36

π=3.14

3.14×36=113.04

So your answer is 113.04

Answer:

He can expect to sell 43 more cars.

Step-by-step explanation:

So far he has 1.5 cars per month 12/8=1.5

If he continues this for 29 months 29x1.5=43.5

He will sell 43 cars

Hope this helps :)

Answer:

80%

Step-by-step explanation:

75% + 20% - 15% = 80%

The probability is 80%

The probability that he or she buys a shirt or a pair of pants is 80%.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that in a clothing store, 75% of the customers buy a shirt, 20% of the customers buy a pair of pants, and 15% of the customers buy both the shirt and a pair of pants.

The percentage of customers who buy only shirt = 75% - 15% = 60%

The percentage of customers who buy only pant= 20% - 15% = 5%

The percentage of customers who buy both = 15%

Now, the probability that he or she buys a shirt or a pair of pants is,

Probability = 60% + 5% + 15% = 80%

Hence, the probability that he or she buys a shirt or a pair of pants is 80%.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2

Answer:

7 + 2, i cant see the full question so im not sure

Step-by-step explanation:

Answer:

8/4

Step-by-step explanation:

8/4 is equal to 2 and the others equal less than 1 1/2 and 2

Answer:

8/4

Step-by-step explanation:

8/4 is 2

8/6 is 1.333

9/6 is 1.5

5/7 is .7142

6/9 is .666

Answer:

20 % of the original price

Step-by-step explanation:

1). 50 - 40 = 10 $

2). 10 / 50 = 20 %

Answer: 24x^3 sqrt5x -4x^3 sqrt10x

Step-by-step explanation:

Show in the photo attached.

Answer:

D

Step-by-step explanation:

I'm sorry, but I don't know what option A is.

However, we are asked which expression has a coefficient greater than one. A coefficient is a number in front of a variable. D is the only one with a coefficient GREATER than 1, so that is the answer.

You can tell me if I did anything wrong! :)

Three types of taxes local governments may impose are Sales Tax , Personal Property  and Real Property. Correct answer: A, B and C.

 A sales tax is a consumption tax imposed by the government on the sale of goods and services. Personal property tax is levied annually against tangible personal property and due upon receipt of the tax bill.

Answer:

property tax

Step-by-step explanation:

:3

Answer:

2p(2+3q)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = 2p2p

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2p(4p/2p + 6qp/2p)

simplify each term in parentheses.

2p(2+3q)

​

Your answer is 2p(2 + 3q).

First we can start by finding common factors in the coefficients, 4 and 6. 4 and 6 are both divisible by 2, so we can pull this out as our first factor:

2(2p + 3pq)

Now we can look for common factors regarding p and q. Both terms include p, but only one includes q, which means we can also pull the p out as another factor:

2p(2 + 3q)

The expression inside the parentheses cannot be factored anymore, so this is the final factorisation.

I hope this helps!

Answer: 8%.

Step-by-step explanation:

To find this answer, use the compounding interest rate formula, or an exponential function:

[tex]A = P(r)^t[/tex]

Where A is the amount of money after t years, using P (principal) dollars as the investment and r as the rate.

We are trying to solve for r, so substitute the correct values for the other three variables:

[tex]7000 = 3500(r)^9\\\\2 = r^9[/tex]

Solving for r, we find that r to the ninth power equals 2.

Simplifying this, r is equal to 2^(1/9), or 1.08~. The interest rate was 8 percent.

To find the interest rate, we can use the formula for compound interest compounded continuously and solve for the interest rate using logarithms. The interest rate used is approximately 7.76%.

To find the interest rate, we can use the formula for compound interest compounded continuously: A = P * e^(rt), where A is the final amount, P is the principal amount, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years. In this case, we have A = 2P, P = $3500, and t = 9 years. Plugging in these values, we get 2P = P * e^(9r), which simplifies to 2 = e^(9r). Taking the natural logarithm of both sides, we get ln(2) = 9r.

Now, we can solve for r by dividing both sides of the equation by 9: r = ln(2) / 9. Using a calculator, we find that r is approximately 0.0776. Therefore, the interest rate used is approximately 7.76%.

https://brainly.com/question/36744565

#SPJ3