MATHEMATICS HIGH SCHOOL

Which of the expressions below can be factored using the difference of squares method?A. 100x2 - 55y2
B. 100x2 + 49y2
C. 100x2 - 49y2
D. 100x2 + 55y2

Answers

Answer 1
Answer: The expression that can be factored using the difference of squares method:
C) 100x^(2)-49y^(2)
Factorization:
100x^(2)-49y^(2) = (10x+7y)*(10x-7y)

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The vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4). The vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). Which conclusion is true about the quadrilaterals? (5 points)A.The measure of their corresponding angles is equal.
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Answers

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6y = 3x -9 6x-2y=14 How many solutions does the linear system have? A) Infinite B) None C) One D) Two

Answers

Answer:

C) One!

Step-by-step explanation:

Let’s solve the first equation for y:

6y = 3x - 9 y = (3/6)x - (9/6) y = (1/2)x - (3/2)

Now, we substitute this expression for y into the second equation:

6x - 2y = 14 6x - 2((1/2)x - (3/2)) = 14 6x - x + 3 = 14 5x = 11 x = 11/5

Finally, we substitute this value of x back into either of the original equations to find y:

6y = 3(11/5) - 9 6y = 33/5 - 45/5 6y = -12/5 y = -2/5

Therefore, the solution to the system of equations is C) One.

I hope this helps :D

School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 80 students? A. 6 chaperones

B. 40 chaperones

C. 3 chaperones

D. 7 chaperones

Answers

We are given that the ratio of chaperon to student is at least 2 chaperon per 25 students. In this case, the number of chaperons of 80 students is 2 chaperon per 25 students * (80 students) equal to 6.4 chaperons .Since only natural numbers are allowed, then the answer should be D.7 chaperons 
The answer is d you would need 7. 6 would only cover 75 students.

What is the angle relationship of x and y?

Answers