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:
a
=
4/
1
−
|
x
|
h
=
0
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log
⇔ n log x
• log x = log y ⇒ x = y
Given
ln20 + ln5 = 2 lnx , then
ln(20 × 5) = ln
ln 100 = ln, hence
x² = 100 ( take the square root of both sides )
x = 10
Answer:
-4/3
Step-by-step explanation:
- since the both lines are perpendicular the product of their slopes equals -1
- let m be the slope of the red line
- m*a = -1
- m = -1/a
- a = (8-5)/(0-(-4)) = 3/4
- so m = -4/3
