(x-4)² + (x-2)² = x²
(x² - 8x + 16 ) + (x² - 4x + 4) = x
2x² -12x + 20 = x
2x²-12x + 20 - x = 0
2x² - 13x + 20 = 0
(2x-5) (x-4) = 0
2x-5 = 0
2x = 5
x = ⁵/₂
x-4 = 0
x = 4
so x₁ = ⁵/₂ , and x₂ = 4
Answer:
C
Step-by-step explanation:
Since the triangle is right with hypotenuse QR
Use Pythagoras' identity to solve for QR
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
QR² = 8² + (8
)²
= 64 + 192
= 256 ( take the square root of both sides )
QR = 
= 16
Answer:
The Correct Answer Is C
Step-by-step explanation:
Answer:
<h2>25</h2>
Step-by-step explanation:
The rate of change of number of tree y on x branches of a tree is expressed as shown;
m = Δy/Δx where;
m is the rate of change
Δy is the change in number of leaves between 3 and 4
Δx is change in number of branches between 3 and 4
m = Δy/Δx = y₂-y₁/x₂-x₁
From table between 3 and 4, y₂ = 100, y₁ = 75, x₂ = 4, x₁ = 3
m = 100-75/4-3
m = 25/1
m = 25
<em>Hence the rate of change between 3 and 4 branches is 25</em>
Answer:
Step-by-step explanation:
This number is much larger than 1. You need to start at the decimal and move left (that's how scientific notation works for numbers larger than 1.)
So the answer is 1.0054 * 10 ^7
The person doing this started at the 1 and moved right until he/she hit the decimal. Wrong direction.
