X= -b⁺₋ √b²-4ac/2a
x= (-(-2)⁺₋√(-2)²- 4(4)(-5))/2(4)
x= 4 ⁺₋√4+80/8
x= (4⁺₋ 9.165)/8
x= 4+9.165)/8 or x= 4-9.165)/8
x= 1.40 or x= -0.896
Answer:
Divide 64 by 16 and we get that it has to have 4 sides which has 16m it means it has to be a square
Answer:
James is 1 meter and 63 centimeters tall
Step-by-step explanation:
James is 1 meter and 63 centimeters tall. The first step will be to subtract 1 from his height;
1.63 - 1 = 0.63 meters
The 1 subtracted is equivalent to 1 meter. The next step is to convert the remaining height in meters to centimeters by multiplying by 100;
0.63 * 100 = 63 centimeters
We can thus say, James is 1 meter and 63 centimeters tall or equivalently 163 centimeters tall
Answer:
x=30
Step-by-step explanation:
4x+2x=180
6x=180
x=30
Answer:
12. 1 second, 35 ft; 2 seconds, 32 ft
13. (t, y) = (1.4 seconds, 37.6 feet)
14. 37.6 ft; the vertex is the highest point
Step-by-step explanation:
12. You have properly answered question 12.
After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.
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13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...
(t, y) = (1.4, 37.6)
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14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.
The maximum height is 37.6 feet.