Answer:
Step-by-step explanation:
1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are
4(2 × 2)
9(3 × 3)
16(4 × 4)
25(5 × 5)
36(6 × 6)
2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)
3) square of 25 is 5
4) 4x² + 20x + 25
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 4
b = 20
c = 25
Therefore,
x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4
x = [- 20 ± √(400 - 400)]/8
x = [- 20 ± 0]/8
x = - 20/8
x = - 2.5
Answer:
Step-by-step explanation:
Looking at the table everything is correct if that is what you are asking.
Answer:
£2,121.8
Step-by-step explanation:
Given the following;
Principal P = £2000
Rate r = 3%
Time t = 2 years
n = 1 (time of compounding)
Using the compound interest formula;
A = P(1+r)^t
A = 2000(1+0.03)^2
A = 2000(1.03)^2
A = 2000(1.0609)
A = 2,121.8
hence the amount that will be in his account after 2 years is £2,121.8
You'd solve this by creating the equation
20 + 6x - 1 + x + 14 = 180
33 + 7x = 180
- 33
7x = 147
÷ 7
x = 21
(because angles in a triangle add up to 180°)
And then you'd substitute in the value of x, so
6 × 21 = 126
126 - 1 = 125° = Angle A
21 + 14 = 35° = Angle C
I hope this helps!
