Direct variation has this equation:
y = kx
where k is the constant of variation
y = -5 ; x = -15
y = kx
-5 = k(-15)
-5/-15 = k
1/3 = k
Choice D. y = 1/3 x
Answer: 11/12
Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.
The fraction 7/12 already has a 12 in the denominator so we leave it alone.
To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.
Now we are adding like fractions.
To add like fractions, we simply add across the numerators.
7/12 + 4/12 = 11/12
Therefore, 7/12 + 1/3 = 11/12.
The measure of an angle is determined from the separation distance between its two rays.
Therefore, if the two rays of an angle share exactly the same points and coincides, this would mean that the measure of the angle is zero.
Given:
Degree of a polynomial is 7.
To find:
The possible combination of root types for a 7th degree polynomial.
Solution:
We know that, by complex conjugate root theorem, is a complex number is a root of a polynomial, then its conjugate is also the root of that polynomial, it means number of complex roots always an even number.
Similarly,
Irrational roots are also occurs in pairs. If
is a root of polynomial, then its
is also the root of that polynomial, it means number of irrational roots always an even number.
In options A, B and C either complex or irrational roots are odd, which is not true.
Therefore, the correct option is D.
Answer:
B. 34
Step-by-step explanation:
Perimeter= 42+42+x+x
First add the 42 together
42+42 = 84
Then subtract the number away because this was added to the total
152 - 84 = 68
68 is not your missing number
Dividing 68 by 2 which gives you 34
So,
Perimeter = 42+42+34+34 = 152