Answer:
(0, -1)
Step-by-step explanation:
It's helpful if we think of slope in the context of rise over run.
Since the point (1, 1) lies on the line, because of the slope 2, if we subtract x by 1 to get to x = 0, then we'll be subtracting y by 2.
By that logic, the answer must be (0, -1).
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:
{-1.7, 3.5}
Step-by-step explanation:
I find it convenient to graph the difference of the two sides of the equation. That difference is zero when the equation is satisfied. This equation has two solutions, near x = -1.7 and x = 3.5.
A) The wall = 32ft * 16ft = 512 square feet.
If one liter of paint covers 100 square feet then you're going to need 6 liter of paint because 5 liters could only cover 500 square feet so it wouldn't be enough. So you get the formula Liter * 0.26417 = gallons and plug in the 6 liter to get <span>1.58502 gallons
B) From the answer above you can estimate that you would need 2 gallons
C) Remember that you had 6 liters of paint which = 600 square ft. So you have 600 square ft of paint - 512 square ft wall = 88 square ft unused paint. And if one liter = 100 square ft, x liters = 88 square ft. So to get the liter you get the equation 100x=88 --> x=88/100
So the ANSWER is .88 liters of paint will be left remaining in the container.</span>
Answer:
$15
Step-by-step explanation:
Each cup is 50 cents which is basically $0.50
Multiply $0.50 by 120= $60
Because you and your three friends equal 4 total people,
divide 60 by 4 to get your own profit:
60/4=15