Answer: 64 years old
Explanation:
Your grandma would be your dad's mom and since she is twice as old as your dad, she is 64. 32 x 2 = 64.
Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
Answer = a) 2.57 because it is to the most number of decimal places so it is the most accurate
To solve the leg of an isosceles triangle given the length of the base and its angle, we can use the cosine identity.
where cos A = a / h
where a is the adjacent side of the angle ( but for this case it is half of the base)
h is the hypotenuse or the leg of the triangle
A is the base angle
h = a / cos A
h = ( 12 / 2) / cos 50
h = 9.33 in