Answer:
The value of x is 16.
Step-by-step explanation:
We are given the following in the question:
c and d are complementary angles.
Measure of c =
Measure of d = 26
Since c and d are complementary, we can write from property of complementary:
Putting values, we get,
Thus, value of x is 16.
Answer:
h'(1)=0
Step-by-step explanation:
We use the definition of the derivative of a quotient:
If , then:
Since in our case we want the derivative of at the point x = 1, which is indicated by: h'(1), we need to evaluate the previous expression at x = 1, that is:
which, by replacing with the given numerical values:
becomes:
So we factor out the number and find the number in both numbers so
117=3*3*13
351=3*3*13*3
so the greatest common factor of 117 and 351 is 3*3*13=117
35=7*5
149=prime=149 (prime means no whole factors)
Answer: OPTION C.
Step-by-step explanation:
The systems of linear equations can have:
1. <u>No solution:</u> When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. <u>One solution</u>: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. I<u>nfinitely many solutions</u>: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts <em><u>never</u></em> have more than one solution.
Answer:
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Step-by-step explanation: