X^2 + 16x + 61 = 0
x^2 + 16x = -61
x^2 + 16x + 64 = -61 + 64
(x + 8)^2 = 3
x + 8 = (+-) sqrt 3
x = -8 (+-) sqrt 3
x = -8 + sqrt 3...and x = -8 - sqrt 3 <== ur solutions
Answer:
Angle 3 is 65
Angle 8 is 115
Step-by-step explanation:
Answer:
(x-6)(x+2)
Step-by-step explanation:
Use FOIL to check if the factors work.
x * x = x²
(x * 2) + (x * -6) = 2x - 6x = -4x
-6 * 2 = -12
Answer:
x = 3.3
Step-by-step explanation:
A equation is given to us and we need to solve out for x. The given equation is ,
Take log on both sides with base as " 10" . We have ,
Simplify using the property of log , , we have ,
Simplify ,
Again simplify using the property of log ,
We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,
Simplify the RHS ,
Add 2 both sides ,
Hence the Value of x is 3.30 .
Answer:
Best predicted value of y' = 86.16 kg
Step-by-step explanation:
Given,
n = 100
Range of heights = 138 - 190cm
Range of weight = 39 to 150 kg
x' =167.46 cm
y' = 81.44 kg
r = 0.108
p value = 0.285
y = - 105 + 1.08x
Significance level = 0.05
We reject H0 since pvalue, 0.285 is less than significance level of 0.05.
Therefore,
Given height of adult male, x = 177 cm
y = - 105 + 1.08x
The best predicted value of y' =
y' = - 105 + 1.08(177)
y' = 86.16 kg
The best predicted value of y' is 86.16kg
