Answer:
Initial value is 
.
Step-by-step explanation:
Let us assume that the exponential function is 
...... (1)
Now, the point 
will satisfy the above equation.
Now, this point on the graph of the exponential function will be sufficient to find the initial value of the function (1) i.e. a.
Now, putting the value x = 0 and 
in the equation (1) we get,
⇒ 
⇒ 
(Answer)
As it is right angled , we can use pythagoras theorem.
Using the therorem :
(x+2)² + (4x+4)² = (5x)²
x² + 4x + 4 + 16x² + 32x + 16 = 25x²
25x² - 17x² - 36x - 20 = 0
8x² - 36x - 20 = 0
2x² - 9x - 5 = 0
2x² -10x + x - 5 =0
2x(x-5) + 1(x-5) =0
(x-5)(2x+1) = 0
x = 5 or x = -1/2
x cannot be -1/2 as it would make hypotenuse negative.
So x = 5
Sides are 7 m, 24 m , 25 m
The area = 1/2 × base × height
Area = 1/2 × 24 × 7 = 84 m²
Answer:
17
Step-by-step explanation:
Solve this equation:
300+5x=450+2x
3x = 150
x = 50
so the answer is 50 books
Get y alone
so
-8y=13-7x (by subtracting 7x from both sides)
now you still want y by itself so you divide by -8
leaving you with
y=-13/8 + 7/8
