Answer:
(x - 3)(x + 7)
Step-by-step explanation:
x^2 + 4x - 21
=> x^2 + 7x - 3x - 21
=> x(x + 7) -3(x + 7)
=> (x + 7)(x - 3)
<h3>
Answer:</h3>
1
<h3>
Step-by-step explanation:</h3>
The first fraction reduces to 5x/(8y), identical to the second fraction. When something is divided by itself, the result is 1.
Answer:
See explanartions below
Step-by-step explanation:
Given the coordinates A(-6,3) B(0,5) C(2,-1)
We first need to get the slope of AB, BC and AC
For AB;
A(-6,3) B(0,5)
Mab = 5-3/0-(-6)
Mab = 2/6
Mab = 1/3
For BC;
B(0,5) C(2,-1)
Mbc = -1-5/2-0
Mbc = -6/2
Mc = -3
For AC:
A(-6,3) C(2,-1)
Mac = -1-3/2-(-6)
MAc = -4/8
Mac = -1/2
Taking the product of Mab and Mbc
Mab * Mbc = 1/3 + -3
Mab * Mbc = -1
<em>Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees</em>
Answer:
10^14
Step-by-step explanation:
Number of bacteria For 10^2 hours = 10^13
Number of bacteria for 1 hour = 10^13/10^2 = 10^11
Number of bacteria for 10^3 hours = 10^11 x 10^3 = 10^ (11+3) = 10^14