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3 years ago

True or false: Two lines with undefined slopes are parallel to each other and parallel to the y axis

1 answer:

5 0

Correct! lines that have undefined slopes are always parallel to the y-axis as the change in x is 0. A gradient is calculated by the change in y divided by the change in x and anything divided by 0 is referred to as undefined.

$\frac{y_{1}- y_{2} }{x_{1}- x_{2} }$

(calculation for a gradient)

Hope that helps sorry if its a bit confusing :)

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Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets,

leva [86]

Answer:a

Step-by-step explanation:all the other ones are not smart

if u think about it

U can’t dived t and I so just do the one that doesn’t do that

8 0

3 years ago

The diagram below shows a large square with two smaller squares within it.

deff fn [24]

Answer:

The shaded area is $23\ in^{2}$

Step-by-step explanation:

we know that

The shaded area is equal to the area of the large square minus the area of the two smaller squares

$A=6^{2} -(3^{2} +2^{2})\\ \\ A=(2*3)^{2} -(3^{2} +2^{2})$

$A=(2^{2})(3^{2}) -(3^{2} +2^{2})$ ---> expression that represent the shaded area

Calculate the shaded area

Remember that

$3^{2}=9\\ 2^{2}=4$

substitute

$A=(4)(9) -(9 +4)\\ \\A=36-13\\ \\A=23\ in^{2}$

7 0

4 years ago

Simplify the following expression.

drek231 [11]

64 x5-26=320-26=294. So 294

6 0

4 years ago

Read 2 more answers

Which pairs of numbers in scientific notation shows one number that is about 20 times as great as the other number?

laiz [17]

Answer:

Option C, D, E

Step-by-step explanation:

To find : Which pairs of numbers in scientific notation shows one number that is about 20 times as great as the other number?

Solution :

We divide large number by smaller number to get the required answer,

A) $\frac{2.01\times 10^7}{4.25\times 10^6}=4.7294\approx 4$

B) $\frac{5.97\times 10^4}{3.12\times 10^3}=19.1346153846\approx 19$

C) $\frac{4.91\times 10^6}{5.09\times 10^3}=9365.4033\approx 9365$

D) $\frac{8.21\times 10^{-3}}{4.13\times 10^{-4}}=19.8789\approx 20$

E) $\frac{6.22 \times 10^{-7}}{2.94\times 10^{-8}}=21.156462585\approx 21$

Option C, D and E pairs of numbers in scientific notation shows one number that is about 20 times as great as the other number.

8 0

3 years ago

Alice, Bob, and Carl arrange to meet for lunch on a certain day. They arriveindependently at uniformly distributed times between

Svetllana [295]

Answer:

a. What is the probability that Carl arrives first?

Probability that Carl arrives first is ¹/₃ = 33.33% since their arrival times is uniformly distributed. The same probability applies to Bob and Alice.

b. What is the probability that Carl will have to wait more than 10 minutes for one of the others to show up?

Assuming that Carl arrived on time, 1:10 PM, we must determine the probability that Alice or Bob arrive between 1:20 and 1:30 (half the remaining time)

P = [3 · (¹/₂ - ¹/₃)] · [3 · (¹/₂ - ¹/₃)] = (3 · ¹/₆) · (3 · ¹/₆) = ¹/₂ · ¹/₂ = ¹/₄ = 25% chance that either Alice or Bob arrive more than 10 minutes later

c. What is the probability that Carl will have to wait more than 10 minutes for both of the others to show up?

P = 1 - 25% = 75%

d. What is the probability that the person who arrives second will have to wait more than 5 minutes for the third person to show up?

I divided the 20 minutes by 5 to get ¹/₄:

P (|S - T| ≤ ¹/₄) = {[(x + ¹/₄)²] / 2} + (1 / 2x) + {[(⁵/₄ - x)²] / 2} = 0.09375 + 0.25 + 0.09375 = 0.4375 = 43.75%

4 0

3 years ago