(-2,7)(3,-3)
slope(m) = (-3-7) / (3 - (-2) = -10/(3 + 2) = -10/5 = -2
y = mx + b
slope(m) = -2
use either of ur points (-2,7)...x = -2 and y = 7
now sub and find b, the y int
7 = -2(-2) + b
7 = 4 + b
7 - 4 = b
3 = b
so ur equation is : y = -2x + 3 or 2x + y = 3
<h3>
Answer: (x-2)(x+2)(x+3)(x+3)</h3>
This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.
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Explanation:
x^2-4 factors to (x-2)(x+2) after using the difference of squares rule
x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule
So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)
We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2
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Side notes:
- Difference of squares rule is a^2 - b^2 = (a-b)(a+b)
- The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2
Answer:
Domain: All Real numbers
CoDomain : All Real numbers
Range:
; that is: Real numbers larger than or equal to zero
Step-by-step explanation:
Notice that the graphed function can use any Real number x (from - infinity to + infinity) and produce an output. Therefore, the Domain of the function plotted in graph 3 is : All Real numbers.
The set of possible outputs (CoDomain) is also the set of all Real numbers (notice that the y-axis extends form - infinity to + infinity
But the Range (the actual set of the collection of outputs of the function) is just a subset of the CoDomain consisting of the Real numbers larger than or equal to zero (notice that the drawing of the function touches the x axis and lies completely on the upper half of the plane.
A, because you take 0.04 and 0.08 and add them together. you get 0.12 which can be converted to 12% or A
Answer:
Since, the coordinates of the given triangle are (0,0), (4,-4) and (-4,-2)
In the dilation by the scale factor k with centered at origin,

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,
New coordinates of the triangles are,



Thus, the coordinates of new triangle are,
(0,0) ( -8, 8) and (-8,-4)