Answer:
Is line
Step-by-step explanation:
I smart
A.
51°
B.
61°
C.
129°
D.
151°
Answer:
option:A is correct.
Step-by-step explanation:
Since g,h and l are parallel lines and a line intersect these 3 lines making angles 1,2,....12.
By looking at the figure we could say that
∠2=∠6 since they are pair of corresponding angles.
Hence ∠6=129°
similarly ∠6=∠10 as they are also pair of corresponding angles.
Hence ∠10=129°
Now we know that ∠10+∠12=180° .
(since both the angles lie on a straight line)
129°+∠12=180°
∠12=180°-129°
∠12=51°
Hence option A is correct.(i.e. measure of ∠12 is 51°)
A. 3 imaginary; 2 real
B. 4 imaginary; 1 real
C. 0 imaginary; 5 real
D. 2 imaginary; 3 real
Answer:
B. 4 imaginary; 1 real
Step-by-step explanation:
Given the polynomial:
x^5 + 7*x^4 + 2*x^3 + 14*x^2 + x + 7
it can be reordered as follows
(x^5 + 2*x^3 + x ) + (7*x^4 + 14*x^2 + 7)
Taking greatest common factor at each parenthesis
x*(x^4 + 2*x^2 + 1) + 7*(x^4 + 2*x^2 + 1)
Taking again the greatest common factor
(x + 7)*(x^4 + 2*x^2 + 1)
Replacing x^2 = y in the second parenthesis
(x + 7)*(y^2 + 2*y + 1)
(x + 7)*(y + 1)^2
Coming back to x variable
(x + 7)*(x^2 + 1)^2
There are two options to find the roots
(x + 7) = 0
or
(x^2 + 1)^2 = 0 which is the same that (x^2 + 1) = 0
In the former case, x = -7 is the real root. In the latter, (x^2 + 1) = 0 has no real solution. Therefore, there is only 1 real root in the polynomial.
40+40x0+1= What is the correct answer?
The correct answer will be 41.
A mathematical term is given ; 40 + 40 × 0 + 1
What will be the correct answer ?
What is the PEMDAS rule ?
PEMDAS rule follows the order which is parentheses, exponents, multiplication, division, addition, subtraction.
The given mathematical term is ;
= 40 + 40 × 0 + 1
We need to solve the given mathematical term according to the PEMDAS rule . Here , we firstly need to multiply 40 with 0 and then add rest of the values.
⇒ 40 + 40 × 0 + 1
firstly solve , 40 × 0 ;
= 40 + 0 + 1
then addall terms ;
= 41
Thus , the correct answer will be 41.
To learn more about PEMDAS rule click here ;
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