Answer:
1 positive solution (and 1 negative)
the greatest solution is about 2.87
Step-by-step explanation:
so, it is
x² + 2x + 7 = 21
x² + 2x - 14 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -14
x = (-2 ± sqrt(2² - 4×1×-14))/(2×1) =
= (-2 ± sqrt(4 + 56))/2 = (-2 ± sqrt(60))/2 =
= (-2 ± sqrt(4×15))/2 = (-2 ± 2×sqrt(15))/2 =
= -1 ± sqrt(15)
x1 = -1 + sqrt(15) = 2.872983346... ≈ 2.87
x2 = -1 - sqrt(15) = -4.872983346...
Answer:
166degrees
Step-by-step explanation:
Using the theorem which states that the angle at the vertex is twice the angle at the intercepted arc
Angle at the vertex <MNO = 83degrees
Angle at the arc = m<MLO
According to the theorem
83 = 1/2(m<MLO)
m<MLO = 83 * 2
m<MLO = 166degrees
Hence the measure of angle MLO is 166degrees
Answer:
2x-10+x+x+10=180, or 4x=180
Step-by-step explanation:
So since the total is 180, you add them all up like an equation.
So,
2x-10+x+x+10
Combine like terms
4x=180
x=45
Then plug it back in to the equations.
x=45
(2x-10)=80
(x+10)=55
Assuming a simple interest model for this information, the interest due at maturity will be:
I=(PRT)/100
where:
P=principle
R=rate
T=time
thus
I=1500×120/364×10/100
I=$49.45
Answer: $49.45
Answer:b
Step-by-step explanation:
