The answer is for part A) 50(1.07(a) )
To find x-intercept, put the Y value = 0;
4x - 2y = -12
-> 4x -2.0 = -12
-> 4x = -12
-> x = -12/4
-> x = -3
X-intercept: (-3,0)
Now do the reverse to find the y-intercept, X = 0;
4x - 2y = -12
-> 4.0 - 2y = -12
-> -2y = -12 x(-1)
-> 2y = 12
-> y = 12/2
-> y = 6
Y-intercept: (0, 6)
9514 1404 393
Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
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Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
In this item we are given with the equation, 2x - y = 3. The equation contains two variables, x and y. We assume in this item that the value of x is independent of the value of y; however, y values depends on the given values of x. In parametric form, the equation would take the form,
f(x) = y = ax + b
where a is the numerical coefficient of x and b is constant. Transforming the given equation to this form,
f(x) = y = 2x - 3
Number 4 is 1
3-x = -x + 3
