Answer:
This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6
Step-by-step explanation:
Step 1
Given the equation;
(x-6)(x+3)
Step 2
To determine the values of x that make the equation positive, the equation can be expressed as;
(x-6)(x+3)>0
x-6>0/(x+3)
x-6>0
x>0+6
x>6
This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6
Answer: 172 square centimeters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a pentagon (A) = 1/2× 5s × a
Where:
s : side of the pentagon
a: apothem
Replacing with the values given and solving for A (area):
A =1/2 x (5 x10) x 6.88
A = 172 square centimeters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
Step-by-step explanation:
Find the GCD of 
:
So the prime factor common to 6, 8 is:
So the factor common to :
Answer:
L2: y-0 = 5/2(x-5)
y = 5/2x-25/2
Step-by-step explanation:
Parallel lines have same slopes.
Line 1, L1: 5x-2y=20 is in standard form Ax+By=C therefore slope m1= -A/B = -5/-2 = 5/2 or you can solve it for y so you will have the equation in slope-intercept form.
5x-2y = 20
-2y = -5x+20
y = (-5/-2)x+20/(-2)
y = (5/2)x-10 hence m1=5/2 and y-intercept is -10
Line 2 , L2: y-y1 = m (x-x1), m=m2=m1=5/2
Point p(5,0) or p(x1,y1) therefore x1=5 , y1=0 and m=5/2
L2: y-0 = 5/2(x-5)
y = 5/2x-25/2
