Answer:
First pattern 0, 2, 4, 6, 8, 10...
Second pattern 0, 5, 10, 15, 20, 25
the first pairs are equal
the second pair are different by 3
the third pair is different by 6
the fourth pair is different by 9
Here we see pattern that every subsequent pair differs from the previous pair's margin by +3. In terms of formulas The difference between 2 pairs is given by 3(n-1) where n is the starting number of the pair(Considering (0;0) pair as the 1.
Short answer
The n-th term in the first pattern compared to the
corresponding n-th term in the second pattern differ by 3*(n-1)
2049342 increase by 3000, the result would be 2050342
m has 1234 and n has 5678
---\------------------\--- M
\ \
--------\------------------\--- N
Solution:
∠2 = 77*
∠4 = 77*
Answer:
<u>The system has two solutions:</u>
<u>x₁ = 5 ⇒ y₁ = -10</u>
<u>x₂ = -2 ⇒ y₂ = 11</u>
Step-by-step explanation:
Let's solve the system of equations, this way:
y = -3x + 5
y = x ² - 6x - 5
Replacing y in the 2nd equation:
y = x ² - 6x - 5
-3x + 5 = x ² - 6x - 5
x ² - 3x - 10 = 0
Solving for x, using the quadratic formula:
(3 +/- √(9 -4 * 1 * -10))/2 * 1
(3 +/- √9 + 40)/2
(3 +/- √49)/2
(3 +/- 7)/2
x₁ = 10/2 = 5
x₂ = -4/2 = -2
x₁ = 5 ⇒ y₁ = -10
x₂ = -2 ⇒ y₂ = 11
<u>As we can see the system has two different solutions</u>
The answer is A 11/121 is the answer