E, C, B
When you solve the equation for y, the slope (number next to x) should be 3, because In order for it to be parallel to the original line they need to have the same slope
Answer:
<u>The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.</u>
Step-by-step explanation:
Let's solve the system of equations:
y = −25x
−2y = 5x+1
***********************
Substituting y in the 2nd equation:
-2 (-25x) = 5x + 1
50x = 5x + 1
45x = 1
x = 1/45
x = 0.022
**********************
Solving for y in the 1st equation:
y = -25 (0.022)
y = - 0.55
<u>The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.</u>
Answer:
x=15
Step-by-step explanation:
This is an equilateral triangle. That means all sides are equal and all angles are equal
An equilateral triangle has angle measurements of 60 degrees
60 =4x
Divide each side by 4
60/4 = 4x/4
15 =x
Answer:
Let p be a prime number. Suppose that a and n are positive numbers such that gcd(a, p) = 1 and gcd(n, p − 1) = 1.
Determine the number of solutions of the congruence x n ≡ a (mod p). Solution.
Let g be a primitive root modulo p. Since gcd(a, p) = 1, we can find an integer l such that a ≡ g l (mod p). In addition, since x ≡ 0 (mod p) is not a solution, we can write x ≡ g k (mod p) for some integer k.
Now the congruence can be written as g kn ≡ g l (mod p), which is equivalent to kn ≡ l (mod p − 1). This congruence can be solved in k by k ≡ ln−1 (mod p − 1) as gcd(n, p − 1) = 1, yielding a unique solution x ≡ g k (mod p) of the congruence x n ≡ a (mod p).
Step-by-step explanation:
Answer:
And replacing the value of we got:
Step-by-step explanation:
For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:
And the surface area for a cylinder is given by this formula:
And replacing the info given we got:
And replacing the value of we got: