Answer:
y=-3x+4
Step-by-step explanation:
The question is asking for the equation in slope-intercept form. This is y=mx+b where m is the slope and b is the y-intercept.
The slope can be found by counting the units in between two points on the graph. Remember that slope is rise over run or y/x. Two points on the graph are (2,-2) and (1,1). The y is increasing by 3 while x is decreasing by 1. This means the slope is -3.
The y-intercept is where the line intersects with the y-axis. In this case, that point is (0,4). Therefore, b=4.
The final answer is y=-3x+4.
The first image has a coordinate of A'(1, 6) B'(-3, 7)
<h3>How to calculate the coordinates of an image after a translation?</h3>
Translation can be defined as movement in a straight line.
Given the rule: (x,y) → (x + 3, y - 1) and A(-2,7) B(-6,8)
That means: A(x = -2, y =7) B(x = -6, y = 8)
Thus the translation will be:
A'(-2 +3, 7-1) B'(-6+3, 8-1) = A'(1, 6) B'(-3, 7)
Therefore, the coordinate of the image is A'(1, 6) B'(-3, 7)
Learn more about translation on:
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Answer:
Step-by-step explanation:
The area is given in two ways: 1) as a formula: A = 30w - w^2, and 2) as a specific numerical value: A = 200 m^2.
Equating these, we get:
A = 200 m^2 = A = 30w - w^2
Rewriting this equation in the standard form of a quadratic function:
-30w + w^2 + 200 m^2 = 0
or w^2 - 30w + 200 = 0, which in factored form is (w - 10)(w - 20) = 0.
Then w = 10 and w = 20.
The perimeter of the rectangle is P = 60 m, and this equals 2w + 2l. Therefore, 30 m = w + l, or l = 30 - w.
We have already found that w could be either 10 or 20.
If w = 10, then l = 30 - 10 = 20, and the perimeter would thus be:
P = 2(10) + 2(20) = 20 + 40 = 60.
This satisfies the constraints on w.
The width of the rectangle is 10 meters. The length is 20 meters.
Answer:
-4
Step-by-step explanation:
5+(-3)-6
2-6
-4
It would be answer D your welcome
