MATHEMATICS
HIGH SCHOOL

Part B: Write any two solutions for f(x). (3 points)

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)

https://prntscr.com/irt75s

Answer: A) (3, 1)

B) two possible are (2, 1) and (0, -5)

C) (1, 3)

To find the solution to p(x) = f(x), we find the intersection point of these graphs. That is at (3, 1).

Solutions of f(x) are any points that the graph passes through.

To find the solution to p(x) = g(x), we find the intersection point of these graphs. That is at (1, 3).

B) two possible are (2, 1) and (0, -5)

C) (1, 3)

To find the solution to p(x) = f(x), we find the intersection point of these graphs. That is at (3, 1).

Solutions of f(x) are any points that the graph passes through.

To find the solution to p(x) = g(x), we find the intersection point of these graphs. That is at (1, 3).

HIGH SCHOOL

HOW do you find the value of TAN 88 degrees 22' 45'' and COT 36 degrees???

Part 1

We want to find the tan of 88 degrees, 22' 45''.

88° 22' 45''

= 88 + 22/60 + 45/3600 degrees

= 88.3792°

From the calculator, obtain

tan(88.3792°) = 35.3409

Answer: 35.3409

Part 2

We want to find cot(36°).

By definition, cot(x) = 1/tan(x).

From the calculator, obtain

tan(36°) = 0.7265

Therefore

cot(36°) = 1/0.7265 = 1.3764

Answer: 1.3764

We want to find the tan of 88 degrees, 22' 45''.

88° 22' 45''

= 88 + 22/60 + 45/3600 degrees

= 88.3792°

From the calculator, obtain

tan(88.3792°) = 35.3409

Answer: 35.3409

Part 2

We want to find cot(36°).

By definition, cot(x) = 1/tan(x).

From the calculator, obtain

tan(36°) = 0.7265

Therefore

cot(36°) = 1/0.7265 = 1.3764

Answer: 1.3764

HIGH SCHOOL

If the area of square 1 is 25 units square, and the area of square 2 is 16 units square, what is the perimeter of square 3

Answer:

12

Step-by-step explanation:

If square 1's area is 25, that must mean its side is 5

If square 2's area is 16, that must mean its side is 4

Since it looks like its going in order, square 3's side is 3, and since there's 4 sides to a square, the perimeter is 12.

Answer:

12 units²

Step-by-step explanation:

4^2+b^2=5^2

b=25-16

b^2=9

b=√9

b=3

there are 4 sides in a square so 3•4=12

HIGH SCHOOL

Between which two consecutive whole numbers does 150 lie?

12 and 13 i believe!

MIDDLE SCHOOL

Sula's grandmother visits every fifth month. Her grandfather visits every sixth month. The ladt time they both visited in the same month was January, 1995 when will they next both visit in the same month?

The best thing to do here is to list the multiples as such, or each time her grandmother comes, and each time her grandfather comes, and see when they come together.

Grandmother- 01/95, 06/95, 11/95, 4/96, 9/96, 02/97, 07/97, 12/97, 05/98, 10/98, 3/99, 8/99, 1/00, 6/00, 11/00, 4/01, 9/01, 02/02, 07/02, 12/02

Grandfather- 01/95, 07/95, 01/96, 07/96, 01/97, 07/97, 01/98, 07/98

From this, you can see that they both visit again on 07/97, which is July of 1997.

Hope this has been able to help you :)

Grandmother- 01/95, 06/95, 11/95, 4/96, 9/96, 02/97, 07/97, 12/97, 05/98, 10/98, 3/99, 8/99, 1/00, 6/00, 11/00, 4/01, 9/01, 02/02, 07/02, 12/02

Grandfather- 01/95, 07/95, 01/96, 07/96, 01/97, 07/97, 01/98, 07/98

From this, you can see that they both visit again on 07/97, which is July of 1997.

Hope this has been able to help you :)

Answer:

July 1997

Step-by-step explanation:

The LCM of 6 and 5 is 30.

30 months after Jan. 1995 is 24 months later + 6 months later.

This is 2 years later + 6 months later.

2 years later is 1997 and 6 months later is July.

Therefore, the answer is July 1997.