Answer:
(3x+4b)(a-2y)
Step-by-step explanation:
(3ax-6xy)+(8by-4ab)
3x(a-2y) -4b(-2y+a)
(3x+4b) (a-2y)
Answer:
c. 3 / 13
d. 2 / 13
Step-by-step explanation:
c.
A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.
So, there are 52/4= 13 cards of each suit.
Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.
So, the number of total picture cards = 4*3 = 12
the number of cards are 52
theoretical probability formula: P = favorable events/ possible events
P = 12 / 52
P = 3 / 13
d.
there are four aces and four sevens in the deck
so favorable events = 4 + 4 = 8
possible eventas = 52
P = 8 / 52
P = 2 / 13
angle 2 and angle 6 are corresponding angles.
Since the lines crossed by the trnasversal are parallel, corresponding angles are congruent. (equal)
angle 6 = 106°
Answer:

Step-by-step explanation:
First let's find the radius of the quarter circle.

Now let's find the arc length of this quarter circle.

Now let's find the perimeter
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Here, we want to check for the relationship between the image and its pre-image
The pre-image is (x,y)
The image is (3x,3y+5)
As we can see, the pre-image is not similar
This is because the transformation applied to the two values are not same
Thus, we have that;
No, the image is not similar to the pre-image as the translations applied to both coordinates are not same
The pre-image was transformed by dilating the x-coordinate of the pre-image by 3 units while the y-coordinate was transformed by dilating the y-coordinate of the pre-image by 3 and translating it upward by 5 units