Answer:
perpendicular
Step-by-step explanation:
Rewrite the equations
y = (-1/7)x - 3/7 -- L1
y = 7x + 25 -- L2
Slope of L1 x Slope of L2 = -1/7 x 7 = -1
As a result, the two lines are perpendicular
Answer:
P = -30
Step-by-step explanation:
first, you need to move the virable to one side:
3/4P - 4/5P = 3/2
second, you make the denominator the same:
15/20P - 16/20P = 3/2
-1/20P = 3/2
third, you will divide it both side of -1/20:
-1/20 -:- -1/20P = 3/2 -:- -1/20
P = 3/2 x -20/1
P = -60/2
P = -30
Answer:
x = 16 when y = 40
Step-by-step explanation:
as y is directly proportional to x:
y = x
y = k x .........k is here constant.
15 = k * 6
k = 15/6
k = 5/2
Here constant, k is (5/2)
So when y = 40
y = k x
40 = (5/2)x
x = 40(2/5)
x = 16
The formula for this is
. If the diameter is 8 the radius is 4, so filling in accordingly we have
and
which is
and when you multiply in 3.14 you get that A = 401.92 or B above.
<span> ∫ [ln(√t) / t] dx
let √t = u
t= u² → dx = 2u du
substitute in the integral
∫ [ln(√t) / t] dx = ∫ (ln u / u²) 2u du = ∫ (ln u / u²) 2u du = 2 ∫ (ln u / u) du
let ln u = x → d (ln u) = dx→ (1/u)du = dx
substituting again
2 ∫ (ln u / u) du = 2 ∫ x dx= 2 x²/ 2 = x² + c which,
substituting ln² u + c
as of the first
substitution ln²(√t) + c
it concludes that
∫ [ln(√t) / t] dx = ln²(√t) + c
hope it helps
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