What is x^2+( 5√2-x)^2= 5√2^2

Answers

Answer 1

Answer: $x^2+( 5\sqrt2-x)^2= (5\sqrt2)^2\nx^2+50-10\sqrt2x+x^2=50\n2x^2-10\sqrt2x=0\nx^2-5\sqrt2x=0\nx(x-5\sqrt2)=0\nx=0 \vee x=5\sqrt2$

Answer 2

Answer:

Step-by-step explanation:

In which form of government would the people elect officials to make government decisions? Monarchy Direct democracy Representative democracy Autocracy

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At the beginning of each year, Bill Ross invests $1,400 semi-annually at 8 percent for 9 years. The cash value of the annuity due at the end of the ninth year is: ...?

Answers

The correct answer would be D. $37,339.68.

To solve this,
$1,400 x 27.6712 = $38,739.68 - 1,400.00 = $37,339.18

This is what the cash value of the annuity due at the end of the ninth year is if Bill Ross invests $1,400 semi-annually at 8 percent for 9 years.

Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.

Which steps transform the graph of y•x^2 to y = -2(x - 2)^2 + 2

Translate 2 units to the left, translate down 2 units, stretch by the factor 2

Translate 2 units to the right, translate up 2 units,stretch by the factor 2

Reflect across the x-axis, translate 2 units to the left, translate down 2 units, stretch by the factor 2

Translate 2 units to the right, reflect across x-axis, stretch by the factor 2, and translate up 2 units

Answers

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of $y = x ^ 2$ into $y = -2(x - 2) ^ 2 + 2$ the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let $y = f (x-2)$ then $y =(x-2) ^ 2$ Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do $y = -f(x)$ Then $f (x) = -(x-2) ^ 2$

3) Stretch according to factor 2.

For this we do $y = 2f(x)$

Then we have $f(x) = -2 (x-2) ^ 2$

4) Move up the graph in two units:

We do $y = f(x) +2$

Then $y = -2(x-2) ^ 2 +2.$

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

Final answer:

To transform the graph from y • x^2 to y = -2(x - 2)^2 + 2, you need to translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.

Explanation:

The correct steps to transform the graph of y•x^2 to y = -2(x - 2)^2 + 2 are:

Translate 2 units to the right
Reflect across the x-axis
Stretch by the factor 2
Translate up 2 units

Learn more about Transforming Graphs here:

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Don randomly draws two cards from a standard deck of 52 cards. He does not replace the first card. What is the probability that both cards are aces?

Answers

easy
so remember
4 aces in a deck
probability =(desired outcomes)/(total possible)

total possible=52

4/52=1st card
then since he picked 1 out the total possible is and assuming he drwe an ace 3/51
so the answer is 4/52 times 3/51=1/221

Answer: 1/221

Step-by-step explanation:

A P E X

Which of the following is the probability of drawing a black card or a face card from a standard deck of cards?1/2
19/26
3/26
8/13

Answers

The required probability = 8/13 since option D is the correct answer.

What do we mean by probability?

The probability of any outcome is the ratio of the number of favorable outcomes to the total number of possible outcomes.

How do we calculate the probability in the given question?

A standard deck of cards contains 52 cards.

∴ Total number of possible outcomes n(S) = 52

Number of black cards in a standard deck = 26

Number of face cards in a standard deck = 12

But, black face cards have already been counted in the black cards, so we subtract the number of black face cards = 6.

∴ Number of favorable outcomes n(A) = 26 + 12 - 6 = 32

∴ Probability (A black card or a face card) = n(A)/n(s) = 32/52 = 8/13

∴ The required probability = 8/13. The correct option is D.

Learn more about Probability at

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1) Well, we know there are 52 cards in a deck.
So, we would divide 52 by 2 because half of the cards are black, half red. So, that means the fraction would have to be of half of 52. 1/2 would be the correct fraction for getting a black card out.
2) There are 12 faced cards in one deck. (That is about as much as I for sure know)

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 20% of students brought their lunch. 49 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answers

Answer:

245

Step-by-step explanation:

49 = 20%

2.45 = 1%

245 = 100%

-2(x + 3)
Simplify expression

Answers

Answer:

I'm pretty sure the answer is -2x -6

ANSWER: -2x - 6

EXPLANATION: distribute the -2 to whats in the parentheses.

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