Answer:
The skaters will collide at the points;
(2,28) and (4,24)
Step-by-step explanation:
The points they might collide will be the points when both y are equal;
-2x + 32 = -2x^2 + 18x
2x^2 -18x -2x + 32 = 0
2x^2 -20x + 32 = 0
2x^2 - 16x - 4x + 32 = 0
2x(x -8) -4( x -8) = 0
(2x -4)(x -8) = 0
2x = 4 or x = 8
x = 4/2 or x = 8
hence; x = 2 or 8
Now let’s get the y value
at x = 2, just substitute into any of the 2
y = -2x + 32
y = -2(2) + 32
y = -4 + 32 = 28
at x = 4
y = -2(4) + 32
y = -8 + 32
y = 24
The points that they will collide are;
(2,28) and (4,24)
Answer:
16 cups.
Step-by-step explanation:
We have been given that there are 128 fluid ounces of fruit punch in the container. We are asked to find the cups will be in 128 oz.
We know that 1 cup equals 8 fluid oz. To convert 128 oz into cups, we will divide 128 by 8.
Therefore, there are 16 cups in the container.
Answer:
Identity property
Step-by-step explanation:
Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.
I hope it's helpful!
Here , the ratio <em><u>UV:</u></em><em><u>VW</u></em> and <em><u>UT:TS</u></em> will be in proportion , so ;
Putting the given values ;
The equation 0 = -2x2 5x - 3 was the quadratic formula that Zacharias used. However, he started substituting as:
Quadratic formula as x = ; substitution as x
The errors he made: he mistakenly used the negative (-) and postive (+)
* -5 should have been 5
* 52 should have been -52
* both the numerator and the denominator should have been -2 instead of 2
