Set up a proportion and solve each problem. Round each answer to the nearest tenths. 5) What is 35% of 74? 6) 78 is what percent
1 answer:
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9514 1404 393
Answer:
(b) (-5, 1)
(c) (5, -7)
(d) (9, -2)
Step-by-step explanation:
The coordinate differences between the given points are ...
(4, 2) -(0, -3) = (4, 5)
The length of the line segment between the points is √(4² +5²) = √41, so this is the side of the square, not a diagonal.
The other four points that could be corners of the square are these same distances, but at right angles. To get points at right angles, the distance values can be swapped, and one of them negated.
Two of the points could be ...
(4, 2) ± (5, -4) = (9, -2) or (-1, 6)
and the other two could be ...
(0, -3) ± (5, -4) = (5, -7) or (-5, 1)
Answer:
• zero: -4, -4/3, 7
• positive: -4 < x < -4/3 . . . or 7 < x
• negative: x < -4 . . . or -4/3 < x < 7
Step-by-step explanation:
Zeros of the function are at x=-4, -4/3, +7. These are the values that make each of the individual factors be zero. For example, x-7=0 when x=7.
The function will be negative for x-values left of an odd number of zeros. It will be positive for x-values left of an even number of zeros (including left of no zeros, which is to say right of all zeros). This is because the sign of the factor giving rise to the zero changes for x-values on either side of that zero. (This is not true for zeros with even multiplicity, as the sign does not change at those.)
