Given function is a direct variation
Step-by-step explanation:
The direct proportion is defined as the increase in one quantity causes increase in other quantity.
If y is directly proportional to x, then it is given as:
y = kx
where k is the constant of proportionality
Given
y = 3x
Comparing the general form and given equation we see that both are same where k =3
So,
Given function is a direct variation
Keywords: Variation, functions
Learn more about functions at:
#LearnwithBrainly
2x+50 + 3x= 90 degrees
5x +50 = 90
5x =40
x=8
Angle1= 2(8) +50= 66
Angle2= 3(8)=24
66+24+90= 180
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
Answer:
Step-by-step explanation:
We have to diagonalize the matrix
![\left[\begin{array}{ccc}1&-1&0\\5&1&4\\0&1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%260%5C%5C5%261%264%5C%5C0%261%261%5Cend%7Barray%7D%5Cright%5D)
we have to solve the expression
Thus, by applying the determinant we obtain the polynomial
and the eigenvector will be
HOPE THIS HELPS!!
Answer:
9 inches
Step-by-step explanation:
6.75/.75 = 9 inches
