Answer:
x > 33
Step-by-step explanation:
<u>x + 4 > 37</u>
x > 37 - 4
x > 33
Answer:
Step-by-step explanation:
The magnitude of a vector is the length of the vector itself.
Given a bi-dimensional vector, the magnitude of the vector is given by:
where
is the x-component of the vector
is the y-component of the vector
The vector in this problem is
Therefore its components are
And so, the magnitude of the vector is:
Answer:
The remainder theorem
Step-by-step explanation:
The remainder theorem states that given a polynomial f(x) and a linear factor x - k as in the question, then if f(x) is divided by x - k, then remainder is obtained at the value of x - k = 0 ⇒ x = k. That is, the remainder is f(k) when x = k.
For example, if we have a polynomial f(x) = x³ + 3x² -2x + 1 and a linear factor x - 1. The remainder theorem states that the remainder when f(x) is divided by x - 1 is obtained by equating the factor to zero and finding the value of x.
So, x - 1 = 0 ⇒ x = 1
Substituting x = 1 into f(x), we have
f(x) = x³ + 3x² -2x + 1
f(1) = 1³ + 3(1)² -2(1) + 1
= 1 + 3 - 2 + 1
= 3.
So, the remainder is 3.
The slope-intercept form:
m - slope
b - y-intercept
We have the slope
and point (9, 7). Substitute:
<em>subtract 3 from both sides</em>
Answer:
Answer:
1/2 or 2/4
Step-by-step explanation:
The total amount of pieces is 4. The dot is at the second piece. Therefore, it is at 2/4. We can simplify 2/4 to 1/2 by dividing both the numerator and the denominator by 2.
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