Let the age of Vera be 'x' years
So the age of Linda is '2x' years
Now Tanya is 4 less than 4 times Linda
So age of Tanya = 4(2x) -4 = 8x -4 years
So total age of Vera , Linda & Tanya
= x + 2x + 8x - 4
= 11x - 4
But it is 2 less than 9 times Vera's age
11x - 4 = 9x + 2
11x - 9x = 4+2
2x = 6
x = 3
So Vera's age = 3 years
Linda's age = 2(3) = 6 years
Tanya's age = 8x - 4 = 8(3) - 4 = 24-4=20 years
Tanya is 20 years old.
Step-by-step explanation:
Answer:
(x + 5)(2x + 1)
Step-by-step explanation:
Given
2x² + 11x + 5
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 5 = + 10 and sum = + 11
The factors are + 10 and + 1
Use these factors to split the x- term
2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )
= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term
= (x + 5)(2x + 1) ← in factored form
Answer:
B = 61.75°
Step-by-step explanation:
The formula for the Law of Sines is given as:
a/ sin A = b/ sin B
In the question, we are given the following values
A = 56°, a = 16, b = 17
We are to solve for B
Hence,
16/ sin 56° = 17/sin B
Cross Multiply
sin B × 16 = sin 56° × 17
sin B = sin 56° × 17/16
sin B = 0.88
B = arc sin(0.88)
B = 61.74536°
Approximately B = 61.75°
Answer:
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Step-by-step explanation:
