Good night,
<span>Irrational numbers
are those that can't be expressed as a fraction:
12.89 can be expressed as: </span>
<span>The above numbers
can be expressed as a fraction, then the logical answer is: </span>
But we will check the answer:
As you can see we can't express that number as a fraction, so that is te correct answer.
Answer: primeter is 20
Area :
Step-by-step explanation:
Height : 4
Base : 6
Prim - 6+6+4+4=20
Area - 6x4=24
Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Jeremiah travels 8 mph faster than Ermias, hence their velocities are:
x, x + 8
They travel in opposite directions, hence in one hour they are 2x + 8 apart.
In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:
8(2x +8) = 240
2x + 8 = 30
2x = 22
x = 11.
Then:
- x = 11 + 8 = 19 -> Jeremiah.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Answer:
x = 40/3
Step-by-step explanation:
2/3 = (8/x) + 6
-6 -6
2/3 - 6 = -16/3
-16/3 = 8/x
*x *x
(-16/3)x = 8
+16/3 +16/3
x = 40/3
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
