Answer: 7/10=35/50
Step-by-step explanation:
1. To get 50, you had to multiply 10 by 5, so do the same to the numerator, 7.
2. 7*5=35.
Remember that the vertex form of a parabola or quadratic equation is:
y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)
In this case we are given that the vertex is (1,1) so we have:
y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:
-3=a(0-1)^2+1
-3=a+1
-4=a so our complete equation in vertex form is:
y=-4(x-1)^2+1
Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so
0=-4(x-1)^2+1 add 4(x-1)^2 to both sides
4(x-1)^2=1 divide both sides by 4
(x-1)^2=1/4 take the square root of both sides
x-1=±√(1/4) which is equal to
x-1=±1/2 add 1 to both sides
x=1±1/2
So x=0.5 and 1.5, thus the x-intercept points are:
(0.5, 0) and (1.5, 0) or if you like fractions:
(1/2, 0) and (3/2, 0) :P
Answer:b
Step-by-step explanation:
There are 7 meters in 279 inches.
- There are 2.54 centimeters in 1 inch.
- There are 100 centimeters in 1 meter.
- The number of inches is given to be 279.
- Unit conversion is a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.
- First of all, we need to convert inches to centimeters.
- 1 inch equals 2.54 centimeters.
- 279 inches equals 2.54*279 centimeters.
- 279 inches equals 708.66 centimeters.
- Now, we need to convert these centimeters into meters.
- Meters in 100 centimeters = 1
- Meters in 1 centimeters = 1/100
- Meters in 708.66 centimeters = (1/100)*708.66
- Meters in 708.66 centimeters = 7.0866
- Thus, there are approximately 7 meters in 279 inches.
To learn more about unit conversion, visit :
brainly.com/question/11543684
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