Answer: Car B traveled 60 mph.
Step-by-step explanation:
A= B-15
A: (B - 15)(2 hr)=D
B: (B)(1.5)=D
Since B and A traveled the same distance you can plug in 1.5B for D.
2B - 30 = 1.5B
-1.5B +30 = -1.5B
——————+30—
2(0.5B) = 2(30)
B = 60 mph
Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4.
Answer:
2.
A. (P+h)(x)
2x/x+4 (x-1) + x/x-1 (x+4)
2x^2-1/x^2-4
+
X^2+4/x^2-4
= 3x^2+3/x^2-4
B. (F-g)(x)
X^2-7x+6-x - 6
= x^2 -8x
C. (Fg)(x)
(X^2-7x+6)(x-6)
= x^3-13x^2+48x-36
D. (H/p)(x)
X/x-1 / 2x/x+4
X/x-1 / x+4/2x
= X^2+4x/2x^2-2x
3.
A. (F+g)(3)
X^2+1 + x-4
3^2+1 + 3-4
10 -1
= 9
B. (f-g)(0)
X^2+1 - x-4
0+1 -0-4
1-4
= -3
C. (Fg)(-k)
(X^2+1) (x-4)
(-k^2+1) (-k-4)
K^3+4k^2-k-4
D. (F/g)(k-2)
X^2+1 /x-4
K-2^2+1 / k-2 -2
= K^2-4k+5 / k-4
Step-by-step explanation:
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
Answer:
x = 34
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal if the lines parallel
2x+3 = 71
Subtract 3 from each side
2x+3-3 = 71-3
2x = 68
Divide by 2
2x/2 = 68/2
x = 34
