Answer:
A) all values of x, and all values of y
B) (3a + 4b) (9a² − 12ab + 16b²)
Step-by-step explanation:
(x² + y²)² = (x² − y²)² + (2xy)²
x⁴ + 2x²y² + y⁴ = x⁴ − 2x²y² + y⁴ + 4x²y²
x⁴ + 2x²y² + y⁴ = x⁴ + 2x²y² + y⁴
27a³ + 64b³
(3a)³ + (4b)³
(3a + 4b) (9a² − 12ab + 16b²)
We can think of this as a right triangle, where the given lengths are the legs.
So, we can solve using the Pythagorean Theorem.
21² + 28² = c²
441 + 784 = c²
1225 = c²
35 = c
35 miles
Answer:
111°
Step-by-step explanation:
- All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.
- Ignore the line cutting between 45° and the 30° and consider it as one triangle
- Add them to get 75°
- Now you have two known angles 75° and 36°
- To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
- Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
A. So we know that a 6 foot figure casts a shadow 4 feet long. 4 foot shadow x 5 = a 20 foot shadow. So this means we take 6 x 5 = 30, and the tree is 30 feet tall.
B. 30 - 6 = 24 feet taller than Frank
