The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
Vikentia [17]
So since there are 10 numbers total, only three positive. so 3/10 is also 30%. Or 30% probability of picking an even.
Answer:
a) length of sides remain unchanged
Step-by-step explanation:
Answer:
- rotation 90° CCW
- translation 2 units upward
Step-by-step explanation:
It can help to draw a diagram.
In the attached diagram, the red triangle (RST) is the original, the purple one (ABC) is after rotation CCW by 90°, and the blue one (R'S'T') is after that is translated upward 2 units. R'S'T' is the final position.
Since RS and R'S' are oriented 90° with respect to each other, clearly a CCW rotation of that amount is required. The trick is to figure out which direction the translation occurs.
The translation can be done before or after the rotation. If done before, it needs to be 2 units to the right (not a choice). If done after, it can be 2 units up, as in this drawing.
Answer:
Step-by-step explanation:
5x−3y>−15
Step 1: Add 3y to both sides.
5x−3y+3y>−15+3y
5x>3y−15
Step 2: Divide both sides by 5.
5x/5 > 3y - 15/5
x > 3/5y - 3
Answer: -10, 10
Step-by-step explanation:
first lets add the two equations. add the x's, add the y's, add the constants on the right.
we get
0x - 1y = -10
so then divide --10 by -1 because we do the opposite operations to both sides
and we get y = 10
now substitute y = 10 into the first equation
-10x - 9(10) = 10
and then we get -10x - 90 = 10
now add 90 to both sides
-10x = 100
divide 100 by -10
x = -10
y = 10
checks out
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