Answer:
We have 6y² + 13y - 8. We can rewrite this as 6x² + 16x - 3x - 8. Grouping terms we get 2x(3x + 8) - (3x + 8) and since both terms have the common factor of (3x + 8) the answer is (3x + 8)(2x - 1).
Answer:
254
Step-by-step explanation:
Answer:
1. Interest: 15%
Amount owed: $500
2. Interest: 6%
Amount owed: $1,500
3. Interest: 18%
Amount owed: $12,500
4. Interest: 6%
amount owed: $5,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
Option 1:
4(m + 12) = 4m + 48 (not what we want)
Option 2:
6m - 2m + 12 = 4m + 12 (one of the right answers)
Option 3:
4(m + 3) = 4m + 12 (one of the right answers)
Option 4:
3m - m + 12 = 2m + 12 (not what we want)
Therefore the correct answers are Option 2 and Option 3.
A diagram would surely help here. But imagine that you stand at spot A and someone finds that your distance from the base of the building is 42 feet. Call this point B.
Imagine a vertical line from that spot, straight up. Label the top of this line C.
The acute angle at A is 67 degrees. You want to find the height of the building, which would be the length of the "opposite side of triangle ABC."
The length of the "adjacent side of triangle ABC" would be 42 feet.
We don't know the length of the hypotenuse, altho' we could easilyl calculate it using the Pyth. Them.
We choose the tangent function to solve for the height of the building (which is the length of the opposite side.
height
By definition, tangent (67 degrees) = -------------------------------------
42 feet
Find tan 67. Multiply your result by 42 feet. This product is the height of the building.
