Answer:
q = 15
Step-by-step explanation:
Given
f(x) = x² + px + q , then
f(3) = 3² + 3p + q = 6 , that is
9 + 3p + q = 6 ( subtract 9 from both sides )
3p + q = - 3 → (1)
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f'(x) = 2x + p , then
f'(3) = 2(3) + p = 0, that is
6 + p = 0 ( subtract 6 from both sides )
p = - 6
Substitute p = - 6 into (1)
3(- 6) + q = - 3
- 18 + q = - 3 ( add 18 to both sides )
q = 15
Answer:
Step-by-step explanation:
We can solve this question using proportion
Perimeter of the square/Time is takes to unlock
We are told in the question that:
The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.
Hence, the perimeter of the square after 1.5 seconds is:.x = unknown
32/2.5 = x/1.5
Cross Multiply
2.5x = 32 × 1.5
x = 32 × 1.5/2.5
x = 19.2 centimeters
That means 1/8 times itself 2 times so
1/8 times 1/8=(1 times 1)/(8 times 8)=1/64
9°, complementary angles always add up to 90°
Answer:
140
Step-by-step explanation:
<u>As per picture:</u>
∠PTQ and ∠RTS are vertical angles and they are equal
- ∠PTQ = (x + 28)°
- ∠RTS = (2x + 16)°
- ∠PTQ = ∠RTS
- x + 28 = 2x + 16
- 2x - x = 28 - 16
- x = 12
∠PTR is supplementary with ∠PTQ and their sum is 180°
- ∠PTQ = 12 + 28 = 40°
- ∠PTR = 180 - 40 = 140°
