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adelina 88 [10]
3 years ago
8

Reflect triangle A in the line y = 1.

Mathematics
1 answer:
Over [174]3 years ago
3 0

Answer:

Step-by-step explanation:

In the figure attached,

Vertices of the triangle ABC are A(-4, 4), B(-1, 4) and (-1, 2)

When we reflect this figure across a line y = 1

Vertices of the image triangle A'B'C' will be

Coordinates of A'

A(-4, 4) → A'[(1 + 5), 4]

            → A'(6, 4)

Coordinates of B'

B(-1, 4) → B'(-1 + 4, 4)

           → B'(3, 4)

Coordinates of C',

C(-1, 2) → C'[(-1 + 4), 2]

           → C'(3, 2)

Graph these points and join them to form the image triangle A'B'C'.

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Suppose that $5500 is placed in an account that pays 2% interest compounded each year.
pogonyaev

Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

3 0
2 years ago
Find the area of a square with the sides 24feet ,27ft.18feet and 30feet
34kurt
Well, this question isn't really fair, considering that those sides aren't possible to make a square since a square has 4 congruent sides.
5 0
3 years ago
Which of the following is an infinite series?
Brut [27]
<h3>Answer: Choice C)  2 - 6 + 18 - 54 + ...</h3>

Explanation:

The three dots or ellipses indicate the pattern goes on forever to infinity. So the answer is between choices A and C based on this alone. Choice A is a sequence while choice C is a series. A sequence is simply a list of values often in some kind of mathematical pattern. A series is where you add values from a sequence together. This distinction rules out choice A and makes choice C the answer.

Note: choice C is a geometric series with first term 2 and common ratio -3. The infinite series diverges because r = -3 is outside the range -1 < r < 1.

4 0
3 years ago
What is 17/20 - 4/15
Zinaida [17]

Hello there, today you gave us the problem \frac{17}{20}-\frac{4}{15},

Our first step is to give them common denominators, which is \frac{51}{60}-\frac{16}{60}, solve it and we get \frac{35}{60} as our answer, which can be simplified down to \frac{7}{12}

4 0
2 years ago
Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which ex
GalinKa [24]

Answer:

2x^2 + x - 6 = rectangular garden: <u><em>length = 2x – 3 feet; width = x + 2 feet</em></u>

Step-by-step explanation:

(2x - 3)(x + 2) = 2x^2 + x - 6 =

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2x^2 + x - 6

You get the original equation from the two sides multiplied. :)

Hope this helps, have a good day.

7 0
3 years ago
Read 2 more answers
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