MATHEMATICS HIGH SCHOOL

Which equation represents the line that passes through the point (7, -12) and is perpendicular to the y-axis?y = 7
y = -12
x = 7
x = -12

Answers

Answer 1
Answer: Hello,
we must find all lines which is perpendicular to oy thus parallele to ox

y=-12 passes by (7,-12)
Answer B

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1) How many ways can six books be arranged on one shelf? a) 21 b) 120 c) 360 d) 720 2) There are eight girls competing in an ice-skating competition. In how many ways can they finish in first, second, and third place? a) 336 b) 1,680 c) 2,016 d) 40,320 3)How many ways can a president and vice president be selected from a class of 12? a) 23 b) 72 c) 132. d) 1,320 4)How many ways can seven students line up for a class picture? a) 5,040 b) 210 c) 28 d) 7

Answers

1 )  6 · 5 · 4 · 3 · 2 · 1 = 720
Answer: D ) 720
2 )  8 · 7 · 6 = 336
Answer: A ) 336
3 ) 12 · 11 = 132
Answer: C ) 132
4 ) 7 · 6 · 5 · 4 · 3 · 2 · 1 = 5,040
Answer: A ) 5,040

Answer:  The correct options are

(d) 720.

(a) 336.

(c) 132.

(a) 5040.

Step-by-step explanation:  The calculations are as follows:

(1) The number of ways in which six books be arranged on one shelf is given by

6!=6*5*4*3*2*1=720.

So, the total number of ways is 720.

Option (d) is CORRECT.

(2) Given that there are 8 girls competing in an ice-skating competition.

So, the number of ways in which they can  finish in first, second, and third place is given by

8* 7* 6=336.

Thus, the total number of ways is 336.

Option (a) is CORRECT.

(3) The number of ways in which a president and vice president can be selected from a class of 12 is given by

12*11=132.

Thus, the total number of ways is 132.

Option (c) is CORRECT.

(4) The number of ways in which 7 students can line up for a class picture is given by

7!=7*6*5*4*3*2*1=5040.

Thus, the required number of ways is 5040.

Option (a) is CORRECT.

In nathan's baseball card collection, 58% of the cards are players from the national league. he has 702 baseball cards. about how many baseball cards are playears from the national league?

Answers

About 407 cards are from the national league.

5. To get to the library from his house, Robert biked 6 kilometers due east and then8 kilometers due south. On the way back, he cut across a field, taking the shortest
possible route home.
How far did Robert bike on the round-trip?
Home
6 km
8 km
Library

Answers

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

  • The two shorter segments are the two legs, and
  • The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^(2) + (\text{Leg 2})^(2)}\n&= \sqrt{6^(2) + 8^(2)}\n&= √(36 + 64) \n&= √(100)\n&= \rm 10\;km\end{aligned}.

The length of the round-trip will equal to the sum of the length of the three segments: \rm 6\;km + 8\;km + 10\;km = 24\;km.

When rolling two standard cubes (6-sided die), what is the probability that you roll sum of 11? Convert your answer to decimal form, then round to 3 decimal places

Answers

Answer:

Step-by-step explanation:

There are only two ways to roll a sum of 11 (5,6),(6,5) out of 36 possible outcomes so

P(11)=2/36=1/18

as a rounded decimal 0.056

Solve the system of equations by graphing on your own paper. What is the x-coordinate of the solution? {y=x+7. y=-2x-11

Answers

x = -7     y=-7 + 7
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Answers

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It has no y intercept therefore it has to have a gradient of infinity.
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