Multiply the first equation by -1 to get -4x - y = --5
Then add the second equation 3x + y = 3
+ ____________
-x = -2 or x = 2
then plug in 2 for x in one of the equations and solve for y 4(2) + y = 5
8 + y = 5
Subtract 8 from both sides y = -3
So x = 2, y = -3 or (2,-3)
9514 1404 393
Answer:
19,463 cm²
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)ij·sin(K)
Filling in the values, we find the area to be ...
A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²
Let there exists a point (x, y) on the given line.
Slope of all points must be same, as they lie on the same line.
=> (y - 1)/(x - 2) = (4 - 1)/(-4 - 2)
=> (y - 1)/(x - 2) = - 1/2
=> y - 1 = (-½) (x - 2)
Option 1 is the correct option
Answer: Coin B And Coin C
Step-by-step explanation:
For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
Therefore, the slope of the line is given by:
m = 0.4
Thus, the function that best suits the table is given by:
f (x) = -4 + 0.4x
For example, for x = 20 we have:
f (20) = -4 + 0.4 (20)
f (20) = -4 + 8
f (20) = 4
The result, matches the table.
Answer:
The function that is best represented by the scatter plot is:
f (x) = -4 + 0.4x