Answer:
A' = 6(3t +1)
Step-by-step explanation:
The area is the square of the side length, so ...
A = (3t +1)²
The derivative with respect to t is then
A' = 2(3t +1)·(3) = 6(3t +1)
If you like, you can multiply out the area expression first, then differentiate.
A = 9t² +6t +1
A' = 18t +6
This can be factored, if you like, to ...
A' = 6(3t +1)
Answer: B' (x-4,y)
Step-by-step explanation: A figure which is moved from one location to antoher, without changing its size, shape or orientation, is a figure that went through <u>translation</u>.
So, when a point is translated, it means it changed its position.
Point B has x- and y-coordinates: B(x,y)
Point B' after being translated 4 units left means:
(x,y) → (x-4,y)
In other words, translated point B has coordinates
B(x-4, y)
Because moving left is saying the point is moving towards the negative "side" of the x-axis.
Answer: 1 3/4 × 1 1/2
Step-by-step explanation:
Since Harry needs 1 3/4 cups of flour for one batch of cookies, but he wants to make 1 1/2 batches, the equation that can be used to find how many cups of flour Harry will need will be:
= (1 3/4 / 1) × 1 1/2
= 1 3/4 × 1 1/2
Therefore, to make 1 1/2 batches, the cups of flour needed will be:
= 1 3/4 × 1 1/2
= 7/4 × 3/2
= 21/8
= 2 5/8 cups of flours.
Answer:
E A
Step-by-step explanation:
when the graph is given to find the similar points nedd to find the crossing points
Answer:
0.14479638
Step-by-step explanation:
Because 2 cards out of 52 are drawn without replacement, hypergeometric probability distribution should be used. Hence,
Combination of drawing 1 ace of 4 total aces C(4,1)
Combination of drawing 1 non-ace of 48 total non aces C(48,1)
Combination of drawing 2 cards of total 52 cards C(52.2)
C(4,1) = 4, C(48,1) = 48, C(52,2) = 1326
4*48/1326 = 0.14479638