Rewrite the equation in slope-intercept form:
9x - 7y = 21
-7y = -9x + 21
y = (9/7)(x) - 3
The y-intercept is where x = 0.
y = (9/7)(0) - 3
y = 0 - 3
y = -3
The x-intercept is where y = 0.
0 = (9/7)(x) - 3
3 = (9/7)(x)
21 = 9x
x = 21/9
x = 7/3
The correct answer would be C. The x-intercept would be at (7/3, 0) and the y-intercept at (0, -3). Hope that helps! :)
1. Factor by grouping: (16x^2+20x)(20x+25)
2. 4x(4x+5)+5(4x+5)
3. (4x+5)(4x+5)
4. (4x+5)^2
Answer:
the work done by the force field = 24 π
Step-by-step explanation:
From the information given:
r(t) = 3 cos (t)i + 3 sin (t) j + 2 tk
= xi + yj + zk
∴
x = 3 cos (t)
y = 3 sin (t)
z = 2t
dr = (-3 sin (t)i + 3 cos (t) j + 2 k ) dt
Also F(x,y,z) = 6xi + 6yj + 6k
∴ F(t) = 18 cos (t) i + 18 sin (t) j +6 k
Workdone = 0 to 2π ∫ F(t) dr
= 24 π
Answer:
(5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625
Step-by-step explanation:
The applicable rules of exponents are ...
√a = a^(1/2)
(a^b)^c = a^(bc)
__
You have √((5-b)^8) = ((5 -b)^8)^(1/2)
= (5 -b)^(8/2) = (5 -b)^4
Sometimes, "simplify" means "remove parentheses".
(5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625
