2 consecutive odd integers : x and x + 2
x(x + 2) = 27 + 6(x + x + 2)
x^2 + 2x = 27 + 6(2x + 2)
x^2 + 2x = 27 + 12x + 12
x^2 + 2x - 12x - 12 - 27 = 0
x^2 -10x - 39 = 0
(x + 3)(x - 13) = 0
x + 3 = 0
x = -3 (extraneous solution)
x - 13 = 0
x = 13
x + 2 = 15
so ur 2 integers are 13 and 15, with 15 being the largest
First you rewrite the multiplication problem up and down and then you multiply 2 x2 then 2 x1 then drop a zero then multiply 4 x2 then 4 x 1 and then add it together and get your answer which is 504
Answer:
y = 2x - 1
Step-by-step explanation:
None of those would be correct, the line on the graph is y = 2x - 1 because the slope of the line is 2 and the y -intercept -1.
You can also check, we know that on the graph the coordinates where the dots are located are: (2,3),(3,5),(4,7) where the first number is x and second is y coordinate.
Check answer:
Let x=2 if this is correct y should be equal to 3 because of the first point (2,3).
y = 2(2)-1 = 4 - 1 = 3
check the other points if you want to confirm.
The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
<h3>How to determine the image of point B?</h3>
The complete question is added as an attachment
From the attached image, we have the following coordinate
B = (-2, 4)
When the triangle is rotated by 270 degrees, the rule of rotation is:
(x, y) ⇒ (y, -x)
For point B, we have:
B' = (4, 2)
Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
Read more about rotation at:
brainly.com/question/7437053
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