Answer:
none of the above
Step-by-step explanation:
You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.
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You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given points, we get ...
y = (3 -1)/(2 -4)·(x -4) +1
y = 2/(-2)(x -4) +1 . . . . . simplify a bit
y = -x +4 +1 . . . . . . . . . simplify more
y = -x +5 . . . . . . . . . . . slope-intercept form
Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ± 
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
Answer:
L = 5
Step-by-step explanation:
use Pythagorean Theorem:
L² + (5
)² = (10
)²
L² + 25(2) = 100(3)
L² + 50 = 300
L² = 250
L =
=
·
= 5
The dot-plot for the data is sketched at the end of this answer.
--------------------------
- The dot plot shows the <u>number of times each measure appears in the data-set.</u>
<u />
- 68 appears once, thus it is 1 in the dot-plot.
- 69 appears three times, thus it is 3 in the dot-plot.
- 70 appears once, thus it is 1 in the dot-plot.
- 71 does not appears, so it is 0.
- 72 appears once, thus it is 1 in the dot-plot.
- 73 appears five times, so it is 5 in the dot-plot.
- 74 appears once, thus it is 1 in the dot-plot.
- 75 does not appears, so it is 0.
- 76 appears twice, thus it is 2.
- 77 appears once, so it is 1.
The sketch is given at the end of this answer.
A similar problem is given at brainly.com/question/24908406