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grigory [225]
3 years ago
15

Describe the transformation that maps the pre-image (ΔA) to the image (ΔA'). A) a reflection of the y-axis B) a reflection over

the x-axis C) a translation 6 units to the left D) a translation 6 units to the right

Mathematics
2 answers:
tino4ka555 [31]3 years ago
7 0

Answer: choice D) translation 6 units to the right

The black triangle slides over 6 units to the right to line up perfectly with the blue triangle. In other words, every point on triangle A will slide over 6 units to the right to line up with its corresponding point on triangle A'. Both triangles are congruent (same shape and size).

Maksim231197 [3]3 years ago
4 0

Answer:

the answer is D

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Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using
IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The product:

A * B = \frac{1}{2} * \frac{2}{3}

A * B = \frac{1}{1} * \frac{1}{3}

A * B = 1 * \frac{1}{3}

A * B = \frac{1}{3}

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The quotient:

A / B = \frac{1}{2} / \frac{2}{3}

Express as product

A / B = \frac{1}{2} / \frac{3}{2}

A / B = \frac{1*3}{2*2}

A / B = \frac{3}{4}

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

x = \frac{1}{2}

y = \frac{2}{3}

The sum:

x + y = \frac{1}{2} + \frac{2}{3}

Take LCM

x + y = \frac{3+4}{6}

x + y = \frac{7}{6}

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0
3 years ago
sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years
andre [41]

Answer:

the value of the investment after 3 years=  £11,904

Step-by-step explanation:

sarah invests £9600 at a simple interest rate of 8% per year

number of years = 3

Formula for simple interest

I = P*n* r

P is the initial amount invested= 9600

r is the rate of interest = 8% = 0.08

n = number of years = 3

Now we find interest using formula

I = 9600 * 0.08 * 3= 2304

Interest amount is 2,304

Now we add the interest with the initial amount to get the value of investment after 3 years

9600 + 2304= 11904

6 0
3 years ago
. What does the line y = 3x - 7 look like
Norma-Jean [14]
<span>y = 3x - 7

3 = slope
-7 = y intercept

This line would cross the y intercept at -7, and go up by 3 (slope). </span>
8 0
3 years ago
Are these equvilant and what properties are they i need the answer asap
marta [7]
18. equivalent
16x5 does equal 10x8
19. equivalent
13-0 does equal 0
20. Not equivalent
12-2 doesn’t not equal 7-3
For all three of these equations you have to use PEMDAS (systems of equations) so first you solve everything that’s in parentheses, then any exponents, followed by multiplication,division,addition, and lastly subtraction. You MUST follow that order to get the correct answer.
6 0
3 years ago
Difference of two exponential random variables
torisob [31]
The difference would be subtracting the variables and the dividing the difference by 2

8 0
3 years ago
Read 2 more answers
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