MATHEMATICS HIGH SCHOOL

I really need help with this question3. Solve n^2+ n-12 by factoring. *
n= 6, n=-2
n=4, n= -3
n=-6, n= 2
n=-4, n=3

Answers

Answer 1

Answer:

Answer:

n = -4 n=3

Step-by-step explanation:

n^2+ n-12

What 2 numbers multiply to -12 and add to 1

4*-3 = -12

4-3 =1

(n+4) (n+3) =0

Using the zero product property

n+4 = 0 n-3 =0

n = -4 n=3

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1) what is the meaning of commutative property?2)what is the meaning of distributive property?
3)what is the meaning of associative property?

Answers

Commutative Property- is only applicable to addition and multiplication.
Like- a + b = b + a
That means we can swap numbers in addition.(The answer is the same)
a x b = b x a
That means we can swap numbers in multiplication.(The answer is the same)

Commutative is not applicable to subtraction and division as
a - b (is not) = b - a
And a / b (is not) = b / a

Distributive Property- Means we can distribute a number in to two parts and still get the same answer, applies to only addition and multiplication and-

Here lets take 2 and 4 as examples-

For addition-
2 + 4 + 3 = 9
(2 + 4) + 3 = 9

For multiplication-
2 x 4 x 5 = 40
(2 x 4) x 5 = 40

Associative Property- Means that you may change the order of the numbers but the answer is the same, much like commutative, its just that it applies to more than 3 numbers- (Addition and Multiplication only)

For addition-
2 + 3 + 4 = 9
3 + 2 + 4 = 9 also

For multiplication-
2 x 3 x 4 = 24
4 x 2 x 3 = 24 also

That's it!

Hope I helped!

$Communitive:a+b=b=a \n a*b=b*a \n \n Distributive:a(b+c) = ab+ac \n \n Associative:(1+2)+3=1+(2+3)$

In an expression
(8/9) squared (-81)+3/5dividedby-9/10

Answers

If you wanted to calculate it, there it is:
$((8)/(9))^2 (-81)+((3)/(5))/((-9)/(10)) = (64)/(81)*(-81)+(3)/(5)*(10)/(-9) = -64+(-2)/(3)= \n =-64-(2)/(3)=(-192-2)/(3)=(-194)/(3)$

Answer: -64.0066666667

(((8\9)squared)*(-81))+(((3\5)\(-9))\10)

Step-by-step explanation:

Which is greater -6 or -3

Answers

-3 is greater than -6

What is the radius for this given equation? (x^2+10x) + (y^2-8y)=59

Answers

Answer:

The answer to your question is r = 10

Step-by-step explanation:

Data

(x² + 10x ) + (y² - 8y ) = 59

Process

1.- Complete the perfect square trinomials

(x² + 10x + (5)²) + (y² - 8y + (4)²) = 59 + (5)² + (4)²

2.- Simplify

(x² + 10x + 25) + (y² - 8y + 16) = 59 + 25 + 16

3.- Factor

(x + 5)² + (y - 4)² = 100

or (x + 5)² + (y - 4)² = 10²

4.- Compare the result with the standard form

(x - h)² + (y - k)² = r²

then r² = 10²

and r = 10

In the coordinate plane, what is the length of the line segment that connects points at (0, −1) and (−7, −2) ?Round to the nearest hundredth.

Answers

Distance = √(y2-y1)² + (x2-x1)²
d = √(-1+2)² + (0+7)²
d = √1² + 7²
d = √1+49
d = √50

In short, Your Answer would be √50 or 7.07 units

Hope this helps!

distance formula!!!!! yay i've done this umpth manytimes today for people so if you dont know distance formula is square root of (x1-x2)^2+ (y1+y2)^2.
0-(-7) -1-(-2)
7^2 + 1^2
49+1
sqr. root of 50
appx. 7.07 or the closest to it

Select 222 strategies that we can use to subtract 563-192563−192563, minus, 192. Choose 2 answers: Choose 2 answers: (Choice A) A Add 100+90+2100+90+2100, plus, 90, plus, 2. (Choice B) B Evaluate (563-200)+8(563−200)+8left parenthesis, 563, minus, 200, right parenthesis, plus, 8. (Choice C) C Subtract 571-200571−200571, minus, 200.

Answers

Final answer:

The most effective strategies to subtract 563 from 192 are by rounding the number (Choice B) or by step-by-step addition and subtraction (Choice A), with rounding being the preferred method for ease of calculation.

Explanation:

To subtract 563 from 192, two effective strategies can be used. The first strategy (Choice B) simplifies the problem by rounding 192 to 200, subtracting to get 563 - 200 = 363, and then adding back the difference of 8 (since 200 - 192 = 8), resulting in the final answer of 363 + 8 = 371.

The second strategy (Choice A) is to add the constituent parts of 192, which are 100, 90, and 2, to perform step-by-step addition and subtraction. This method, however, is less efficient than the rounding technique and is prone to errors in a manual calculation process.