9514 1404 393
Answer:
a. (-1/2, 5)
Step-by-step explanation:
The coefficients of x have opposite signs, so the x-terms can be eliminated by adding the two equations.
(2y -12x) +(3y +12x) = (16) +(9)
5y = 25 . . . . . . simplify
y = 5 . . . . . . . . .divide by 5
This matches only answer choice A.
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<em>Check</em>
The other part of answer choice A is x = -1/2. We can test this to make sure it works:
2(5) -12(-1/2) = 16
10 + 6 = 16 . . . . . . true, the selected answer works OK
81pie square yards, the formula of area of circle is pie•r cubed,
The scatter plot has been attached
Answer:
Options C, D & E are true
Step-by-step explanation:
Option A is wrong because from the scatter plot, only four athletes were faster in the second race than in the first one.
Option B is wrong because only 1 athlete had his second race time differing from the first race time by exactly 2 seconds.
Option C is true because exactly 9 of the times for the first race were at least 16 seconds
Option D is true because there are exactly 3 athletes who had the same time in both races
Option E is true because 8 of the times for the second race were less than 17 seconds
Answer:
Step-by-step explanation:
The line has a slope of -1/3. For lines to be perpendicular there product must equal negative 1
m1(m2)=-1
-m/3=-1
m=3
So we know our line has a slope of three so
y=3x+b, we can solve for the y intercept, b, using point (-2,8)
8=3(-2)+b
8=-6+b
b=14, so our line is
y=3x+14
<span>ًWe should use the compass at one endpoint of line segment.
</span><span>Adjusting the compass to slightly longer than half the line length
</span><span>Drawing arcs above and below the segment line.
</span>Keeping the same compass width, draw arcs from other endpoint connecting the arcs cross, and draw the line segment.The inter section between the two lines represents the mid point of the line segment.
Therefore the correct answer is option C
<span>C Use the compass to copy the line segment on two arcs at equal distance from the endpoints if the segment</span>
