X+y = 4, -----> y=4 - x
x² +(4-x)² =16
x² +16-2*4x+x² =16
2x² - 8x = 0
x(2x-8) = 0
2x-4=0, 2x=8, x=4
x=0 or x=4
If x=0, y=4-x=4-0=4.
If x=4, y= 4-x=4-4=0.
(0,4) or (4,0)
Check
x² +y² =16
For (0,4)
0²+4² =16
16 =16 True
For (4,0)
4² +0²=16
16=16 True
Answer (0, 4) and (4,0).
Answer:
- T(n) = 3n² - 4
- -189 doesn't belong
Step-by-step explanation:
<u>Given sequence:</u>
<u>The first differences:</u>
<u>The second differences:</u>
<u>If the sequence is T(n) = an² + bn + c, we have:</u>
<u>Using the first and second differences work out the value of zero term:</u>
This gives us c = - 4
<u>Now we have:</u>
<u>The first term is T(1) = -1, substitute n = 1 and find the value of b:</u>
- 3(1²) + b*1 - 4 = - 1
- 3 + b - 4 = - 1
- b = 0
<u>The nth term is:</u>
<u>Now lets find if -189 belongs to this sequence:</u>
- - 189 = 3n² - 4
- 3n² = - 185
The left side is positive and the right side is negative so the answer is also negative
Answer:
D
Step-by-step explanation:
(hg)(x)=(4x+3)(x+2)=4x²+11x+6
The final answer should be -5
