Please help me on number 10 and 11
1 answer:
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Answer:
-24 - 57i
Step-by-step explanation:
i'm assuming that this is a question about imaginary numbers and that i²= -1
we can expand the binomial by using the FOIL method (see attached)
(6 − 7i)(3 − 6i)
= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)
=18 - 36i - 21i + 42i² (recall that i²= -1)
= 18 - 57i + 42(-1)
= 18 - 57i - 42
= -24 - 57i
Answer:
13) ⇒
15) ⇒
Step-by-step explanation:
Given expression:
13)
15)
Write the expressions in radical form.
Solution:
For an expression with exponents as fraction like
the numerator represents the power it is raised to and the denominator
represents the nth root of the expression.
For an expression with exponents as negative fraction like
We take the reciprocal of the term by rule for negative exponents.
So it is written as:
using the above properties we can write the given expressions in radical form.
13)
⇒ [Using rule of negative exponents]
⇒ [writing in radical form]
15)
⇒ [Since 2nd root is given as
in radical form]
Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = x 9.8 x 2.2²
S = 23.7m