Answer:
85
explanation:
too long
Answer:
S(t) = 2 - 0.25*t
Step-by-step explanation:
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months.
When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate.
S(t) denote the ice sheet's thickness S ( measured in meters) as a function of time (measured in weeks).
Therefore the equation formed will be linear.
The equation will be of the form y = mx + b
Here S(t) = mt + b
Here m is the slope which is the rate at which ice is melting.
Putting t = 0
S(t) = 2
Putting t = 3,
S(t) = 1.25
Therefore, m*0 + b = 2 or, b = 2
and 3m + b = 1.25
or, 3m = 1.25 - 2 = -0.75
or, t = -0.25
Hence, function's formula = S(t) = -0.25*t + 2
i.e. S(t) = 2 - 0.25*t
Rotating a figure 90° counterclockwise about the origin results in an ordered pair (x, y) mapping to its image (-y, x). Thus point C, which is at (3, 5), will map to (-5, 3).
This is a system of equations, and I am assuming that you are being asked to solve it.
This is finding the point where these two lines intersect.
The key to solving these algebraically is finding one part in terms of another part and substituting.
We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.
We have

and

.
The last equation is rewritten as

.
Now, we cancel the x-terms.



We have our value for y, so we just plug this back into any of the original equations to get x.

Thus, the solution to the system of equations is the point

.
Answer:D
Step-by-step explanation:9*3=27
27+25=52