Answer:
B
Step-by-step explanation:
Given
11 - 4x = (3x - 2)² + 1 ← expand the squared factor using FOIL
11 - 4x = 9x² - 12x + 4 + 1, that is
11 - 4x = 9x² - 12x + 5 ( add 4x to both sides )
11 = 9x² - 8x + 5 ( subtract 11 from both sides )
0 = 9x² - 8x - 6 or
9x² - 8x - 6 = 0 → B
It should be x=11 instead of x=-11, so
he is not correct because he made a sign error.
Answer:
a) 3/4
b) 3/4
c) 3/4
d) all are 3/4
Step-by-step explanation:
The slope of a line is defined as the change in y divided by the change in x. This is often referred to as "rise over run":
slope = Δy/Δx = "rise"/"run"
The triangles are drawn against the line so that you can use them to identify values of "rise" (vertical change) and "run" (horizontal change) between two points on the line.
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<h3>a)</h3>
The slope of the segment AC is found by dividing the "rise" (BC = 3) by the "run"(AB = 4)
slope of AC = BC/AB = 3/4
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<h3>b) </h3>
The slope of FH is similarly computed. Here, it is made a little more difficult, because you must estimate the value of GH.
slope of FH = GH/FG = 1.5/2 = 0.75 = 3/4
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<h3>c) </h3>
The slope of CE is ...
slope of CE = DE/CD = 6/8 = 3/4
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<h3>d)</h3>
The slopes in a), b), c) are all 3/4.
You can reasonably draw the conclusion that the slope of a line is the same everywhere. A line has constant slope.
B.
Using this will give you proper representations in similar triangles.
1 I think is the answer I hop it helped.
