MATHEMATICS HIGH SCHOOL

Factor the following polynomial completely.

-x 2 y 2 + x 4 + 9y 2 - 9x 2

Answers

Answer 1
Answer: -(y-x)×(y+x)×(x-3)×(x+3)
Answer 2
Answer:

The answer is C. (x + 3) (x - 3) (x + y) (x - y)

Just finished the test.

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Answers

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Write the following proportion:
8 is to 64 as 2 is to X

Answers

1 way
(8)/(64) = (2)/(x) \n \n (8:4)/(64:4) = (2)/(x) \n \n (2)/(16) = (2)/(x)    ⇔  x = 16
......................................................
2.way
(8)/(64) = (2)/(x)
We multiply the cross

8x = 2 * 64 8x = 128 x = 16
8 over 64 is equal to 2 over x...cross multipy and that should give you 128=8x...now just divide 128 by 8 to find x...x=16

Nell's mortgage is $50,150 at 10 percent for 30 years. What is her monthly payment if she must pay $8.78 points per $1,000?a) $440.32
b) $439
c) $442.95
d) $385.89

Answers

Answer:

The correct option is a.

Step-by-step explanation:

It is given that Nell's mortgage is $50,150 at 10 percent for 30 years and she must pay $8.78 points per $1,000.

EMI on $1000 is $8.78, so EMI on $1 is

\text{EMI on }\$1=(8.78)/(1000)=0.00878

EMI on $50150 is

\text{EMI on }\$50150=0.00878* 50150=440.317\approx 440.32

Therefore the correct option is a.
The right answer for the question that is being asked and shown above is that:  "d) $385.89." Nell's mortgage is $50,150 at 10 percent for 30 years. Her monthly payment if she must pay $8.78 points per $1,000 is that of d) $385.89

Mike is three times as old as his little sister, Mary. In 4 years, he will be twice as old as Mary. How old is Mary?

Answers

x-the age of Mike
y-the age of his sister

x=3y

x+4=2(y+4)
3y+4=2y+8
3y-2y=8-4
y=4 years

x=3*4=12 years
Mary: x yrs old
Mike: 3x yrs old

In four yrs:

Mary: x+4 yrs old
Mike: 3x+4 yrs old

As the text of task:

3x+4=2(x+4)
3x+4=2x+8
3x-2x=8-4
x=4

Mary is 4 yrs old

What is

3x-2y=9
y=2x-7

Answers

Okay, these get easy with practice so don't post all of these online. First, substitute y in 3x-2y=9 for what it says y equals (2x-7). You now have: 3x-2(2x-7)=9. Breakdown:
3x-2(2x-7)=9
3x-4x+14=9
-1x=-5
x=5
next solve for y
y=2x-7
y=2(5)-7
y=10-7
y=3
And now we have x=5, and y=3.
Since you know that "y" is equivalent to "2x - 7" you can substitute that into the first equation

3x - 2y = 9
3x - [2(2x-7)]= 9
3x - (4x - 14) = 9
3x - 4x + 14 = 9
-x + 14 = 9
-x = -5
x = 5


y = 2x - 7 
y = 2(5) - 7
y = 10 - 7
y = 3

Describe how to find the area of the patio

Answers

You must use the information you're given, together with everything you know about the area of various shapes, to translate the known into the solution for the unknown. Since you gave us none of the former, and we remain dubious concerning the scope and extent of the latter, there's no more that can be said.
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