It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:
9 x 5 = 45 and 9 x 50 = 450
Answer: 6x - 18 (choice C)
Angle TSR is the same as angle RST. The order of the letters doesn't matter as long as the middle letter is the same (known as the vertex point).
Segment SQ bisects angle RST, so that means the two smaller pieces (angle TSQ and angle RSQ) are exactly half in measure compared to angle RST. Put another way, angle RST is twice that of angle RSQ
So,
angle RST = 2*(angle RSQ)
angle RST = 2*(3x - 9)
angle RST = 2*(3x) + 2*(-9)
angle RST = 6x - 18
Answer:
πr²/4
Step-by-step explanation:
Area of a circle if πr²
so Area of a quarter of a circle (or 1/4 of a circle) = πr²÷4
Answer:
13x - 8 ≤ -32
Step-by-step explanation:
8 less than means subtract 8: -8
13 times the number x: 13x
is less than or equal to -32: ≤ -32
13x - 8 ≤ -32
