2nd equation:
8 x-y=10 ⇒ y= 8 x-10
We will switch that in 1st equation:
8 x-10=x²+12 x+30, or:
x² + 4 x +40 = 0, a=1,B=4, c=40
Discriminant : D= b² - 4 ac= 16 - 160 = -144 and because it is negative there are no real solutions.
Answer: D)
Answer:
If the problem is,
By finding it,
Take a 5 box grid in which each box represents 1 unit,
Then take 1 box of this grid,
Repeat this step,
Finally, Add them,
We get,
A grid having 10 boxes with 2 taken boxes,
Thus, 
When we do these steps for three grids we will get 
,
That is, by multiplying the result of 
by 3 we will obtain
The formula for determining the apothem of regular hexagon is s/2tan(180/n) , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.
So, apothem = 17/2tan(180/n)
= 17/2tan(30)
= 17/1.15
= 14.78 units
Therefore, the measure of apothem of the regular hexagon is 14.7 units.
B is the right answer.
Answer:
The correct answer would be D. y+2=1/2(x+3)
Step-by-step explanation:
Point slope form can be written as y-y1=m(x-x1)
Since m is slope, we can see from the equation in slope intercept form that the slope is 1/2, so we can insert that into our equation. The rest is simply the process of inserting the values from the point on the graph into the equation.
Since y1=-2, we could put that as y--2 or y+2, since negatives cancel out.
Then we can replace x1 with -3, resulting in x--3 or x+3.
So our resulting equation is:
D.y+2=1/2(x+3)
Hope this helps!
