The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).
- If the coordinate (x, y) is dilated by a scale factor of k, the resulting coordinate will be at (kx, ky)
- Given the coordinate of the triangle (1 4). (4.5), and (2.0), if this coordinate is dilated by a factor of 3, the resulting coordinates will be at (3 12), (12.15), and (6.0).
Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).
Learn more on dilation here: brainly.com/question/10253650
The equation of the transformation of the exponential function <em>y</em> = 2ˣ in the form <em>y</em> = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is <em>y</em> = (-2)·2ˣ + 3
<h3>What is an exponential equation?</h3>
An exponential equation is an equation that has exponents that consists of variables.
The given equation is <em>y</em> = 2ˣ
The equation for the transformation is; <em>y</em> = A·2ˣ + k
The points on the graphs are;
(0, 1), (1, -1) and (2, -5)
Plugging the <em>x </em>and <em>y</em>-values to find the value <em>A</em> and <em>k</em> gives the following simultaneous equations;
When <em>x</em> = 0, <em>y</em> = 1, therefore;
1 = A·2⁰ + k = A + k
1 = A + k...(1)
When <em>x</em> = 1, <em>y</em> = -1, which gives;
-1 = A·2¹ + k
-1 = 2·A + k...(2)
Subtracting equation (1) from equation (2) gives;
-1 - 1 = 2·A - A + k - k
-2 = A
1 = A + k, therefore;
1 = -2 + k
k = 2 + 1 = 3
k = 3
Which gives;
y = -2·2ˣ + 3 = 3 - 2·2ˣ
Learn more about the solutions to simultaneous equations here:
brainly.com/question/26310043
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Answer:
Use the slope-intercept form y=mx+b to find the slope m. m=−1
Step-by-step explanation:
lets take the x's away from: -5x+4x
That will be -5+4
-5+4=-1
Because remember:
When adding positive numbers, count to the right.
When adding negative numbers, count to the left.
When subtracting positive numbers, count to the left.
When subtracting negative numbers, count to the right.
I hope this helps. :)
Answer:
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Step-by-step explanation:
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An equation of the form y = mx + b represents a linear function where m is the slope and b is the y-intercept. For example, y = 3x + 4 represents the linear function whose slope is 3 and whose y-intercept is 4.
Hope this helps!!! The reason why I asked which unit & lesson it is from, is because Idk if you go to k12 or not, by the pic, it looks like you do go to k12... IF you go to K12, I could tell you the answers, that's if I took that lesson... And that's if you'd tell me... Hope I make since.... Ok bye!!! :)
