10(N + 3)
= 10N + 30
Hence, the answer is A.
The general line through (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
Here that's
(1 - - 5)(y - - 5) = (4 - -5)(x - - 5)
6(y+5)=9(x+5)
6y + 30 = 9x + 45
-15 = 9x - 6y
3x - 2y = -5
Answer: 3x - 2y = -5
We could put that in slope intercept form,
2y = 3x + 5
y = (3/2) x + 5/2
Answer: y = (3/2) x + 5/2
Let's actually find the roots, using the quadratic formula:
<span>p(x)=x^2+x+3 gives us a=1, b=1 and c=3.
-1 plus or minus sqrt(1^2-4(1)(3))
Then x = -----------------------------------------------
2
The discriminant here is negative, so the roots x will be complex:
-1 plus or minus sqrt(-11) -1 plus or minus i*sqrt(11)
x = ---------------------------------- = -------------------------------------
2 2
These are irrational roots; they cannot be expressed as the ratios of integers.</span>
Answer: 12 - 4 = 8
Step-by-step explanation:
Answer:
x = 165°
Step-by-step explanation:
x° = 360 - (the measure of one interior angle of the octagon + the measure of one interior angle of the equilateral ∆)
Each interior angle of a regular octagon = 135° ([tex] \frac{(n - 2)180}{n} = 135°)
An equilateral ∆ has equal angles, each measuring 60°.
Therefore:
x° = 360° - (135° + 60°)
x = 360 - 195
x = 165°
