MATHEMATICS HIGH SCHOOL

What is the simplified form of expression ? 5(14 - 2) to the 2nd power over 2

Answers

Answer 1

Answer:

The answer is 1728

Step-by-step explanation:

Given the expression 5(14 - 2) to the 2nd power over 2, this can be written mathematically as;

{5(14 - 2)}²/2

Step1: we will solve for the function in bracket to have;

{5(12)}²/2

Step 2: we will take the square of the values in bracket since they are both raise to power of 2 to have;

(5²×12²)/2

= 25×144/2

Step 3: simplify the resulting equation to give;

= 24×72

=1728

The simplified form of the expression is 1728

Answer 2

Answer: 5(14−2)^2/2
=5(12^2)/2=
(5)(144)/2
=720/2=
360

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Solve for c? 2x+36x-15c=x

Answers

Simplifyingc2 + 15c + 56 = 0 combine like terms:56 + 15c + c2 = 0. Solving56 + 15c + c2 = 0. when Solving for variable 'c'.Factor a equation.(8 + c)(7 + c) = 0

What is the best approximation of the solution to the system to the nearest integer values. A.1,3B. 3,2
C.2,3
D. 3,4

Answers

This question is asking us what the coordinates are for the point of intersection. Since the point is not directly on the grid lines, we must approximate.

The point is closest to the value "2" on the x axis.
The point is closest to the value "3" on the y axis.

This means the correct point is (2,3).

For an angle Θ with the point (5, -12) on its terminating side, what is the value of cosine

Answers

cosine = x-component/hypotenuse

cosine = 5 / √(12^2 + 5^2) = 5/13 = 0.385

Vong grilled 21 burgers at a block party. He grilled the same number of pounds of turkey burgers as hamburgers. Each turkey burger weighed 1/4 & each hamburger weighed 1/3 pound. How many of each did Vong grill?

Answers

$x-number\ of\ hamburgers\n21-x-number\ of\ turkey\ burgers\n\n(1)/(4)x=(1)/(3)(21-x)\n\n(1)/(4)x=7-(1)/(3)x\n\n(3)/(12)x+(4)/(12)x=7\n\n(7)/(12)x=7\ \ \ \ \ |\cdot(12)/(7)\n\nx=12\n\n21-12=9\n\nVong\ grilled\ 12\ hamburgers\ and\ 9\ turkey\ burgers$

24 times 4 tons 2 pounds

Answers

24 x 4 tons and 2 pounds is:

96.02400 short tons

Hope I Helped!!!

i am a three digit number. i am divisible by 5. i am an even number each of my digits are different my tens is greater than my ones digit. my hundreds digit is greater than my tens digit. i am less than 400. i am divisible by 3. i have only one odd digit. my tens digit is 1. what number am i?

Answers

Answer:

210

I am divisible by 5.

So your ones digit is 0 or 5

I am an even number.

So your ones digit is 0. We fill that in.

_ _ 0

My tens digit is 1.

So we fill that in.

_ 1 0

My tens digit is greater than my ones digit.

Well, of course 1 is greater than 0. We didn't need to be told that.

I have only one odd digit.

Since the 1 is odd, the hundreds digit is even, 2,4, or 8

I am less than 400.

So your hundreds digit is 2. Fill that in and we're done.

2 1 0

My hundreds digit is greater than my tens digit.

Of course 2 is greater than 1, we didn't need to be told that.

I am divisible by 3.

Of course 210 is divisible by 3. We didn't need to be told that.

Too much information!

Answer: 210

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Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1f(x) = −1/12 (x − 5)2 + 2 f(x) = 1/12 (x − 5)2 + 2 f(x) = −1/12 (x + 5)2 + 2 f(x) = 1/12 (x + 5)2 + 2

Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?. . A. (–4, –1). B. (–4, 8). C. (–1, 2). D. (10, 2).