We know that
<span>(16x6 − 12x4 + 4x2) / 4x2
is equal to
[16x6/4x2]+[-12x4/4x2]+[4x2/4x2]
=[4x4]+[-3x2]+[1]
=4x4-3x2+1
the answer is
</span>4x4-3x2+1<span>
</span>
Step-by-step explanation:
7(x-2)+3 (x+2)=5 (x-6)
- 7x-14+3x+6=5x-30
- 10x-8=5x-30
- 10x-5x=-30+8
- 5x=-22
- x=-22/5
The slope of the line that passes through (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(p,a) and (p,-a)
slope=(-a-a)/(p-p)=-2a/0=undefined
means
the slope is undefined
x=something
(x,y)
(p,a)
x=p is the equation
the equation of a perpendicular line is y=k where k is any real number
the y intercept of y=k would be y=k or the pont (0,k)
<h3>
Answer: C) 2</h3>
Explanation:
Recall that the general point-slope form is 
where m is the slope and 
is the point the line goes through. We see that the 2 and the m match up, so m = 2 is the slope.
Side note: We can rewrite that given equation into y - (-5) = 2(x - (-1)) to see that the line goes through the point (-1, -5)
Answer:
18.55
Step-by-step explanation:
Step One
Find AC
<em><u>Formula</u></em>
a^2 + b^2 = c^2
<em><u>Givens</u></em>
<em><u>Solution</u></em>
- AC^2 = 70^2 + 50^2 Substitute into Pythagoras
- AC^2 = 4900 + 2500 Expand
- AC^2 = 7400 combine
- AC = sqrt(7400) Take the square root of both sides.
- AC = 86.02
Step Two
Find FC
<em><u>Givens</u></em>
- <BCF = 30o Given
- BC = 50 Given
- FC = Find
<em><u>Formula</u></em>
Tan(30) = FC/50
<em><u>Solution</u></em>
FC = 50 * tan(30)
FC = 28.87
Step Three
Find <FAC
FC = 28.87
AC = 86.02
Tan(<FAC) = FC / AC
Tan(<FAC) = 28.87/86.02
Tan(<FAC) = 0.33558
<FAC = Tan-1(0.33558)
<FAC = 18.55 which is just about what you got.
