Answer: 33.33%
Step-by-step explanation:
Number of White sneakers = 8
Number of Black sneakers = 10
Number of Blue sneakers = 10
The percentage of Oscar's sneakers that are black will be:
= Number of black sneakers / Total sneakers × 100
= 10/30 × 100
= 33.33%
Answer: y = 4x + 5
Step-by-step explanation:
Rearranging 4x-y = 1 we get y = 4x-1 as the equation of the line.
Since the new line is parallel to y=4x-1, that means the slopes are equal. Therefore, the slope of the line is 4.
So, the equation of the line is y = 4x+b
To figure out b, we can plug in the point (-2,-3) into the equation.
So -3 = -2*4 + b
-3 = -8 + b
And we get b = 5.
Therefore, the equation of the line is y = 4x + 5
W can be represented in the following equation: 14/tan 38°=w
Since tan 38 equals 0.78128563, we divide 14 by 0.78128563 which gives a value of 17.91
W= 17.91
W+X (which is the whole lenght) can be represented in the equation: w+x=14/tan 19°
So
17.9+X=14/0.34432761
we isolate for x and obtain
X= 40.65-17.9
X=22.75 (which we round to 22.8)
So the answer is option 4:
w = 17.9; x = 22.8
Answer:
a) three eigenvalues, all of them real.
d) one real eigenvalue and two complex eigenvalues.
Step-by-step explanation:
A 3x3 matrix with real entries can have : (a) three eigenvalues, all of them are real and (d) one real eigenvalue and two complex eigenvalues.
Let consider the equation for a 3x3 matrix with real entries :
From above ; we will notice that the polynomial is of 3°; as such there will be three eigenvalues in which all of them real.
Also ; complex values shows in pairs, a 3x3 matrix cannot have a three complex eigenvalues but one real eigenvalue and two complex eigenvalues.
