We first need to write the function in standard form.
y = -x^2 - 7x + 18
To find the axis of symmetry, we do -b/2a
The a and b are the coefficients of the x values.
So a would be -1 since -x is same as -1x
Follow that, b would be -7.
Then just plug the values in. - (-7)/2(-1) = -7/2
The axis of symmetry is -7/2
Answer:
m<MON = 100°
Explanation:
Given:
Area of shaded sector LOM = 2π cm²
NL = 6 cm
Required:
m<MON
Solution:
m<MON = 180° - m<LOM (angles in a straight line)
We don't know m<LOM. Therefore, let's find m<LOM.
Area of a sector = θ/360 × πr²
Area of sector LOM = 2π cm²
r = 3 cm
θ = m<LOM = ?
Plug in the values
2π = m<LOM/360 × π × 3²
2π = m<LOM/360 × 9π
2π = m<LOM × 9π/360
2π = m<LOM × π/40
Multiply both sides by 40
2π × 40 = m<LOM × π
80π = m<LOM × π
Divide both sides by π
80π/π = m<LOM
80 = m<LOM
m<LOM = 80°
✔️m<MON = 180° - m<LOM (angles in a straight line)
Substitute
m<MON = 180° - 80°
m<MON = 100°
Answer:
D
Explanation:
Resilience because they are capable of retaining "normal" behavior after experiencing trauma or long-term duress. (Ie: It is estimated that 30% of abused children will later <em>become </em>the abusers but the <u>other 70% who do not inherit that behavior are resilient)</u>
Failure. Why we fail, How we fail. Who thinks we fail. and how it leads to success even though we don't know if we're really successful.
Answer: See explanation
Explanation:
a. The Journal entries to record the issuance of the note will be:
Debit Accounts payable $10000
Credit Notes payable $10000
(To record the issuance of note to creditor)
b. The journal entry to record thehe payment of the note at maturity, including interest will be:
Debit Notes payable $10000
Debit Interest expense $125
Credit Cash $10000 + $125 = $10125
(To record the payment on the note on maturity.
Note:
Interest expense = $10000 × 5% × 90/360
= $10000 × 0.05 × 0.25
= $125
