The lines y = 2x - 1 and y = -2x + 3 intersect at exactly one point which means this system has exactly one solution. so the system is consistent and independent
X=-1 and y=3
To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.
You now have 3x - (2x + 5) =-6
This can be solved like a normal equation. Multiply each term in the parenthesis by -1.
3x - 2x - 5 = -6
Subtract 2x from 3x
x - 5 = -6
Add 5 to both sides
x=-1
Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.
y= 2(-1)+5
y= -2+5
y=3
You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.
Answer:
Angle 9: 60°
Angle 10: 30°
Side = radius = 40sqrt(x/3)
Area = [800sqrt(3)]x
Step-by-step explanation:
Total angle in a hexagon:
(6 - 2) × 180
720
Each interior angle:
720/6 = 120
angle 9 = 120/2 = 60
Angle 10 = 60/2 = 30
sin(60) = 20sqrt(x)/r
r = 20sqrt(x) ÷ sqrt(3)/2
r = 40sqrt(x/3)
Side:
sin(30) = ½s/(40sqrt(x/3))
½s = 20sqrt(x/3)
s = 40sqrt(x/3)
Area = (3sqrt(3))/2 × s²
Area = 3sqrt(3)/2 × 1600x/3
Area = [800sqrt(3)]x
Answer:
Step-by-step explanation:
There are a couple of equivalent expressions to the function 
. For example:
Factor:
If you add the terms inside the parentheses:
Basically you can add the like terms from the start and get the same result.
Therefore:
Answer:
so yes
Step-by-step explanation:
If you can divide two numbers without a remainder, then the first number is divisible by the second.
For example, 12 is divisible by 2.
12÷2=6
But 12 is not divisible by 5. When you divide 12 by 5, you get a remainder.
12÷5=2 R2
