The answer is (5,-2) because when you plug it into the first problem you would get 0 which is greater than or equal to -2 and for the second you would get -9 which is less than or equal to -2
Y= 40 explanation don’t want to just trust me it’s 40
Answer:
2520 cm²
Step-by-step explanation:
9 cm x 8 cm x 5 cm x 7cm = 2520 cm²
Answer:
1 mile/hr
Step-by-step explanation:
Let the Speed of the boat still in water = a
Speed of the current = b
We know from this formula that speed = distance/time
Hence,
A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.
Downstream = a + b = 15/3
a + b = 5 .........Equation 1
On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.
Upstream = a - b = 15/5
a - b = 3 ..............Equation 2
Combining both Equation together
a + b = 5 .........Equation 1
a - b = 3 ..............Equation 2
Subtracting Equation 2 from Equation 1
2b = 2
b = 2/2
b = 1miles/hr
Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
