Answer:
Step-by-step explanation:
<u>Given</u>
- ΔABC ⇒ A(- 1, 3), B(- 1, 1), C(3, 1)
- ΔA'B'C' ⇒ A'(2, - 2), B'(2, - 4), C'(6, - 4)
<u>Comparing the coordinates of the corresponding vertices, we see the difference:</u>
It means the ΔABC has been translated 3 units right and 5 units down
Correct answer choices are B and E
The diagonals of a rectangle are congruent so set them equal to each other to get x = 2x - 7. isolate the variable (0 = x - 7 — x = 7) to get x = 7. the diagonals are seven.
Answer:
Volume = 183.26 cubic inches
Step-by-step explanation:
Volume of cone = ⅓πr²h
Where,
r = 5 in.
h = 7 in.
Plug in the values into the formula
Volume = ⅓*π*5²*7
Volume = 183.26 cubic inches (nearest hundredth)
Answer:
1. 2(k + 3)
2. 3. 75 + k
Step-by-step explanation:
1. 2x + 6
Since, 2 is a common factor of 2 and 6, we can take that common outside.
So, 2x + 6 = 2(x + 3)
Note that in the initial expression, this 2 was distributed to arrive at 2x + 6.
2. (1.5 + k) + 2.25
This is simple addition. We can simply remove the brackets to have:
1.5 + k + 2.25
Since, the like terms can be added, we will have:
1.5 + 2. 25 + k
= 3. 75 + k
We have the following expression given:
We can start selecting as common factor 4y^2 and we got:
Now we can select y+7 as common factor and we got:
So then our final answer would be:
