MATHEMATICS HIGH SCHOOL

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Answers

Answer 1

Answer:

Answer:

2⁴ *3⁵

Step-by-step explanation:

Exponents:

Prime factorize 12.

12 = 2 * 2 * 3 = 2² * 3

12² * 3³ = (2² * 3)² * 3³

Apply exponent law.

$\boxed{(a*b)^m = a^m * b^m}$

$\sf = (2^2)^2*3^2 * 3^3$

Again, apply exponent law

$\boxed{\bf (a^m)^n = a^(m*n)}$

$\sf = 2^(2*2)*3^2*3^3\n\n= 2^4*3^2*3^3$

$\boxed{\bf a^m * a^n = a^(m+n)}$

$\sf = 2^4 * 3^(2+3)\n\n =2^4* 3^5$

Answer: 2⁴ * 3⁵

Answer 2

Answer:

Step-by-step explanation:

12^2 = ( 4 * 3)^2 = 4^2 3^2

so you have 4^2 * 3^2 * 3^3 =

4^2 * 3^(2+3) =

4^2 * 3^5 =

16 * 3^5 =

16 *243 =3888

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Please help!19. What are the solutions of the inequality? Graph the solution. (One image)20. What are the solutions of the inequality? Graph the solution. (One image)
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What is the answer? Pls helpp

Answers

There would be 18 separate outcomes, since the spinner has three numbers and the dice has six numbers. Since the spinner has all odd numbers then an even number must be rolled on the dice for the answer to be odd. And since half of the numbers on a dice are even then half of the answers will be odd, aka 50%

What is the length of the third side of the window frame below?A. 10 inches
B. 12 units
C. 16 units
D. 20 units

Answers

Answer:

20 units

Step-by-step explanation:

a^(2)+b^(2)=c^(2)

48^(2)+b^(2)=52^(2)

2304+b^(2)=2704

2304-2304+b^(2)=2704-2304

b^(2)=400

\sqrt(b^(2))=\sqrt(400)

b=20

therefore,20 is the length of the unknown side

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Isolate y in the equation 3x+2y=8

Answers

Subtract 3x
2y=-3x+8
Divide by 2
Y=-3/2x+4

$3x+2y=8$

=> '3x' should pass to the other side. ( negative )

$2y = 8 -3x$

=> 'y' should be left alone

$y = (8-3x)/(2)$

Can someone help me please which one is it ?
A
B
C
D

Answers

It mentions that angle 1 is congruent to angle 2. They have the same angle measure. This allows us to replace angle 1 with angle 2 (because they're effectively the same thing).

We can say
(angle 1) + (angle 3) = 90
(angle 2) + (angle 3) = 90
notice the replacement in bold

The second equation is an algebraic way of saying "angle 2 and angle 3 are complementary"

Answer: Choice C

What is one fourth divided by 2

Answers

One fourth is the same as 1/4 1. 2 ÷ 4. 1 Reciprocal 1. 1 × 4. 2 Multiply normally. 1/8=answer

1/8 is the answer because 2 Divied by 1/4 x 4/1= 8/1 or
1/4divide2=1/4x1/2=1/8

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number?

Answers

The product of two consecutive integers is 420 is 20 and 21.

Consider x one the two number

Then the successor of x = x + 1

Then x and x+1 are the consecutive numbers

Now according to the question,

The product of two consecutive integers is 420,

Then, multiply x and x+1 and equate it to 420

Therefore,

⇒ x(x+1) = 420

⇒ x² + x = 420

⇒ x² + x - 420 = 0

This is a quadratic equation

Now solve it to find the value of x

We can write it as,

⇒ x² + 21x - 20x - 420 = 0

⇒ x(x + 21) - 20(x + 21) = 0

⇒ (x+21)(x-20) = 0

⇒ x = 20 or x = -21

Since number should be an integer so - 21 is absurd.

Hence, consecutive numbers are,

20 and 21

Learn more about the multiplication visit:

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