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2 years ago

Part 2. Which of the following descriptions represent the transformation shown in the image

Mathematics

1 answer:

Over [174]2 years ago

7 0

Answer:

a. rotation; then reflection across x

Step-by-step explanation:

The transformation shown is a reflection across the y-axis.

The first part of each answer choice is a rotation 180°. That rotation is fully equivalent to reflection across both the x- and y-axes, in either order. In order to have a net effect of reflection across the y-axis, the reflection across the x-axis must be cancelled--by another reflection across the x-axis.

The reflection across y shown is equivalent to ...

rotation 180° followed by reflection across the x-axis.

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Evaluate each expression for d = -3.

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Answer:

d = - 3

Step-by-step explanation:

There's no expression

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The average cost of an item is defined as the total cost to produce divided by the number produced. A shoe company that pays $24

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3 years ago

What number is exactly half way between 1/9 and 1/3

nata0808 [166]

Answer:

1/5

Step-by-step explanation:

1/9=0.11

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3 years ago

Gcf and lcm of 6 and 9

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3 years ago

One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the

Kipish [7]

Let's call the two numbers $s$ and $l$ .

Given these variables, we can say: $s = l - 14$ , based on the first sentence in the problem.

Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

$\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}$

To solve, we can simply substitute $l -14$ in for $s$ in the second equation and solve.

$\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}$

Set up

$\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}$

Get terms on the left side to a common denominator for easier addition

$\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}$

Simplify

$4(6l - 70) = l(l - 14)$

Cross multiplication ( $\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc$ )

$24l - 280 = l^2 - 14l$

Simplify

$l^2 - 38l + 280 = 0$

Subtract $24l - 280$ from both sides of the equation

$(l - 10)(l - 28) = 0$

Factor left side of the equation

$l = 10, 28$

Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

$s = 10 - 14 = -4$ ,

Since $s$ is not positive in this case, $l = 10$ is not a solution.

Thus, $l = 28$ is our only solution. In this case,

$s = 28 - 14 = 14$ ,

which means that the smaller number is 14 and the larger number is 28.

5 0

3 years ago

Part 2. Which of the following descriptions represent the transformation shown in the image​

Part 2. Which of the following descriptions represent the transformation shown in the image