What is 9x7 equal to i been stuck

List the sequence of transformations that must occur to transform rectangle ABCD into A'B'C'D

earnstyle [38]

Answer:

Rectangle ABCD was dilated by $\frac{1}{2}$ followed by a translation of 7 units right and 1 unit down.

Step-by-step explanation:

Rectangle A'B'C'D' is a dilated form of rectangle ABCD.

Followed by a translation, as shown in the figure attached.

For dilation,

Scale factor = $\frac{\text{Side length of image}}{\text{Side length of original}}$

= $\frac{2}{4}$

= $\frac{1}{2}$

Therefore, rectangle ABCD was dilated with a scale factor of $\frac{1}{2}$ about the origin.

Coordinates of point A → (-10, 6)

Coordinates of point A' → (1, 2)

Coordinates of image of point A after dilation,

(x, y) → (kx, ky)

A(-10, 6) → A"(-5, 3)

Coordinates of point A" after translation of 'h' units to the right and 'k' units down.

(x, y) → (x + h, y - k)

A"(-5, 3) → A'[(-5 + h), (3 - k)]

By comparing the coordinates of A'[(1, 2) and (-5 + h, 3 - k)],

-5 + h = 2 ⇒ h = 7

3 - k = 2 ⇒ k = 1

Therefore, rectangle ABCD was dilated by $\frac{1}{2}$ followed by a translation of 7 units right and 1 unit down.

8 0

3 years ago

Sebastian is a 25 year old single male. He currently lives at home with his parents. His net worth income from work is $914.42 p

sergij07 [2.7K]

Step-by-step explanation:

$914.42 + $110= $1024.42 a month

Per month he pays $115 + $14 + $100 + $45 + $70 + $100 + $40

That comes to a total of $484 a month in expenses.

Subtract $484 from $1024.42

Assuming the side hustle is consistent that leaves $540.42 in additional income.

If he wants to afford the house rent, the best thing he can do is look for a better job. If that cannot be done for whatever reason, he should drop the Netflix subscription(+14), not go to the gym(+70), keep his pocketbook tight and not buy gifts(+40), and buy bulk type items from stores.

If he can make his dollar go farther by spending his money on bigger items of food he could probably spend only $85 a month on food.

With this advice he could save an additional $139 a month.

He now has $679. 42

He should also look at finding a cheaper bus pass around that $75 dollar range or just pay the fair whenever he gets on out of pocket (ONLY IF HE IS GOING TO WORK)

That totals out at $754.42

He can now afford rent.

7 0

2 years ago

Please help!!! I don’t know how to do this

N76 [4]

Answer:

O C. x = 3

Step-by-step explanation:

If a line is parallel to y-axis, the equation of the line is x = constant because it is at a constant distance from y-axis. so for the given question, x = 3 is the equation of the line passing through (3,2).

8 0

3 years ago

explain what does the constant rate of change means in the context, (basically what is the meaning of a constant rate change.).

LUCKY_DIMON [66]

Here the topic is "functions." Roughly speaking, we have a box. Input enters at one end and output exists at the other. Now, if every input value x (such as 2) is doubled by the box, every output value is 2x: (0,0), (1,2), (2,4), etc.

We call this "doubling" a "constant rate of change.

If you plot the points given, you'll see that they all are on a straight line. That straight line has the slope 2: y = 2x. Again, 2 is the "constant rate of change" here.

If you drive at a steady 55 mph, you are covering 55 miles during every hour behind the wheel. Again, 55 is a "constant rate of change."

4 0

3 years ago

Read 2 more answers

Completing the square allows us to see the vertex of the quadratic equation's parabola. Explain why.

Fynjy0 [20]

Well the vertex is the highest or possibly lowest point in a quadratic equation, the part where it hits the curve. For example imagine this is your graph--> ∩.
This graph has its vertex at the top. So when we complete the square and find the zeroes we can then find where the graph meets in the middle thus finding our vertex.

4 0

3 years ago