1. What is the vertical distance between (5, –12) to (5, 17)?

2. What is the volume of a rectangular prism with a length of fourteen and one-fifth yards, a width of 7 yards, and a height of 8 yards?

3. The point (–7, 6) was reflected over an axis to become the point (7, 6). Which axis was it reflected over? Explain.

What you're looking at in this image are two alternate exterior angles.

Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.

There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.

So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:

5x + 20 = 3x + 60

Subtract 20 from both sides:

5x + 20 - 20 = 3x + 60 - 20

5x = 3x + 40

Subtract 3x from both sides:

5x - 3x = 3x - 3x + 40

2x = 40

x = 20

If you have any questions on how I got to the answer, just ask!

- breezyツ

Answer:

(0,4)

Step-by-step explanation:

The given equations are :

3y = 6x + 12  

2x - y = -4

If (-3,2) be the solution of the above equations,

3(2) = 6(-3) + 12

6 = -18+12

6≠ -6  

2x - y = -4

2(2) -(-3) =-4

4+7 = -4

11 ≠ -4

No, (-3,2) is not the solution.

Similarly, put (0,4) in the abve equations,

3(4) = 6(0) + 12

12 = 12

and

2(0) - 4 = -4

-4 = -4

Hence, (0,4) is a solution of the given equations.

Answer:

Capacity = 9.63509

Step-by-step explanation:

V = πr²h

9.5 x 9.5 x 3.14 = 283.385

283.385 x 34 = 9,635.09

9,635.09 ÷ 1,000 = 9.63509

Please let me know if this helps.

Answer:

Take whatever amount of miles Sammy and Tanya drive and add them

Step-by-step explanation:

I don't have many numbers to work with so my equations are:

14 x (1 day of driving miles amount) = a

A x 2 = your answer

Answer:

B. 2x - 3

Step-by-step explanation:

[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]

[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]

[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]

Answer:

[tex]\tt{}2x - 3[/tex]

Step-by-step explanation:

[tex] \tt{} \frac{(14 {x}^{2} - 27x + 9) }{(7x - 3)} [/tex]

[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]

[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]

[tex]\tt{}2x - 3[/tex]

Answer:

329,200

Step-by-step explanation:

Answer:

329,200

Step-by-step explanation:

Answer:

The minimum number of people over age 45 they must include in their sample is 305.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 0.6 liters

This means that [tex]\sigma = 0.6[/tex]

What is the minimum number of people over age 45 they must include in their sample?

This is n for which M = 0.08. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.08 = 2.327\frac{0.6}{\sqrt{n}}[/tex]

[tex]0.08\sqrt{n} = 2.327*0.6[/tex]

[tex]\sqrt{n} = \frac{2.327*0.6}{0.08}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*0.6}{0.08})^2[/tex]

[tex]n = 304.6[/tex]

Rounding up:

The minimum number of people over age 45 they must include in their sample is 305.

Complete question is;

Mr. Jenkins will purchase a riding lawnmower that costs $1,350 The store offers no interest if he uses the store credit card and the balance is paid in

full within one year. He has $1,500 in his checking account. Compare the

advantages and disadvantages to using either a debit card or a credit card.

Answer:

Advantages & disadvantages given below

Step-by-step explanation:

Advantages;

1. They have low fees; for example almost all store credit cards don't charge annual fees but instead they promote some very good offers.

2. Possibility of having discounts from retailers; because majority of retailers usually love promoting their credit cards because it helps them ensure they save more money and they hold on to this principle judiciously. For example there could be discounts upon first purchase or when you shop at target stores which they offer.

3) Majority of store credit cards offer a lot of benefits for members. For, owners of store credit cards could be offered the option of returning purchased items without presenting the receipt. There could also be I stances where they are giving free shipping of their products or they could be exposed to some good favorable payment plans.

Disadvantages;

1. Their credit limits are usually far lower than those of credit and debit cards.

2. Other cards give more flexible discount and reward system to its customers. This includes cash back or giving the incentive of earning more points when they spend beyond a certain amount.

Answer:

Is there an image? I cant figure it out without the image

Step-by-step explanation:

Answer:

a) 3sec

b) highest point of 50

c) at 0 by 8 sec

Answer:

y = 4

Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

Therefore,

[tex]4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4[/tex]

9514 1404 393

Answer:

  A.  x = {nπ, π/4 +nπ}

Step-by-step explanation:

The zero product rule tells you the solutions are found where the factors are zero:

  tan(x) = 0   ⇒   x = nπ

  tan(x) -1 = 0   ⇒   x = arctan(1) +nπ = π/4 +nπ

_____

When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.

Answer:

$9

Step-by-step explanation:

Answer:

8mph

Step-by-step explanation:

I just answered the question

Answer:

Graph #1 - y=-20x+40

Graph #2 - y=5x+10

Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use

FROM GRAPH #1:

(x1,y1)    (x2,y2)

   80-40/2-3

      20/-1

    M = -20

FROM GRAPH #2:

(x1,y1)  (x2,y2)

  20-10/3-1

     10/2

    M = 5

2. Now once you find the slope you will use the equation of a line formula to form an equation.

The (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)

3. Since we now know the equation of a line and the slope we will substitute the variables.

Graph #1:

y=mx+b

y=-20x+40

Graph #2:

y=mx+b

y=5x+10

Answer:

1/6 + 1/2 = 2/3

Step-by-step explanation:

Answer:

uhh i think 19?-

Step-by-step explanation:

i tried sorry-

Answer:

V =1884 in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = pi ( 10) ^2 * 6

V = pi ( 600) in^3

Using 3.14  for pi

V = 3.14 * 600 in ^3

V =1884 in ^3

Answer:

NO, it does not.

Step-by-step explanation:

From the information provided, we know that the surveying method for the polling depends on the no. of calls got on the two sorts of 900 phone numbers.  

This surveying strategy doesn't address a random sample in light of the fact that the viewers who see the show can be restricted. Additionally, among the viewers of the show, the reactions depend on viewers who intentionally approach to offer or air their opinion. Therefore, the acquired sample doesn't address a random sample and specifically, we can posit that the sample occurs to be a voluntary sample.

Answer:

B

Step-by-step explanation:

180 - 100 = 80

80 = 30 = 110

180 - 110 = 70

Answer:

B

Step-by-step explanation:

100-30=70° Remeber this is a right triangle

Answer:

2 1/5 + 6 4/5

= 2/5 + 24/5

= 26/5

= 5.2

Answer:

[tex]8\frac{5}{10}[/tex]

Step-by-step explanation:

[tex]2 + 6 = 8\\\frac{1}{5} + \frac{4}{5} = \frac{5}{10}[/tex]

Let me know if this helps!

Answer:

D. 158.4 km²

Step-by-step explanation:

Area of sector = θ/360 * πr²

Where,

θ = 150°

r = 11 km

Substitute

Area = 150/360 * π * 11²

Area = 158.38863 ≈ 158.4 km² (nearest tenth)

Answer: 117

Step-by-step explanation:

first comment on first response!!! Thank you btwww!

Answer:

3

Step-by-step explanation:

23

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