Answer:
65
Step-by-step explanation:
The area of the square is
and the area of a single triangle is
.
The total area is the square plus the 4 triangles 
Answer:
x = - 2, x = - 
Step-by-step explanation:
Given
5x² + 1 = - 13x - 5 ( add 13x - 5 to both sides )
5x² + 13x + 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × 6 = 30 and sum = 13
The factors are 10 and 3
Use these factors to split the x- term
5x² + 10x + 3x + 6 = 0 ( factor the first/second and third/fourth terms )
5x(x + 2) + 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(5x + 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - 
For x = 4, then it means 3 to the fourth power or 3 times 3 times 3 times 3 times 3. 3^4 = 81 and 8 times that is 648.
y(x) = 8 * 3^x where x = 4:
y(x) = 8 * 3^4 = 8 * 81
y(x) = 648
The Function Rule then being that for every value of x there is one and only one value of y. y is the dependent variable and x is the independent variable.
Answer:
Final answer is
and
.
Step-by-step explanation:
Given equation is 
Now we need to find the solution of
in given interval
.




which gives
and
in the given interval.
Hence final answer is
and
.
The ratio is 10:14 or 5:7 which is the ratio of boys to girls!