Answer:
JKLM is a parallelogram
Explanation:
The slope m of a line through two points (x1,y1) and (x2,y2)is given by the formula:
m=Δy/Δx=y2-y1/x2-x1
So the slopes of the sides of our quadrilateral are:
mJK=(−1)−24−(−3)=−37
mKL=(−5)−(−1)2−4=2
mLM=(−2)−(−5)−5−2=−37
mMJ=2−(−2)(−3)−(−5)=2
So JK is parallel to LM and KL is parallel to MJ
So JKLM is a parallelogram.
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Answer:
(f×g)(2) = 3/4
Step-by-step explanation:
For each of the functions, put 2 where x is and evaluate the expression.
f(2) = (3 -2)/(2² +4) = 1/8
g(2) = 3×2 = 6
Then the product is ...
(f×g)(2) = f(2)×g(2) = (1/8)×6 = 6/8
(f×g)(2) = 3/4
Answer:
y= (-6/5)x -2
Step-by-step explanation:
y=mx+b , where m is the slope, and b is the y -intercept
the y -intercept is where the line intersects the y-axis so b = -2
the slope m= y(rise) /x(run) = 6/-5 = -6/5 ( to find the slope you have to know how to get from any point on the line to another point on the same line; start at point (0,-2) go up 6(y-rise) and to the left 5(x-run) at point (-5,4))
y= (-6/5)x -2
X=12 because 3 times 12 equals 36. if you divide by 3 on both sides you would be left with that
Givens
AB + BC = AC
AB = 2(x + 1)
BC = 3x + 1
AC = 4(x + 2)
Substitute and Solve
AB + BC = AC
2(x + 1) + 3x + 1 = 4(x + 2) Remove the brackets on the left
2x + 2 + 3x + 1 = 4(x + 2) Collect the like terms on the left
5x + 3 = 4(x + 2) Remove the brackets on the right.
5x + 3 = 4x + 8 Subtract 4x from both sides.
5x - 4x + 3 = 8
x + 3 = 8 Subtract 3 from both sides
x =8 - 3
x = 5
Answers
AB=2(5 + 1) = 2 * 6 = 12
BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16
AC = 4(5 + 2) = 4*7 = 28
