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yKpoI14uk [10]
2 years ago
15

How would you write 2x^2-7=11 in both quadratic property and square root property?

Mathematics
1 answer:
dangina [55]2 years ago
6 0

Answer:

Quadratic Property 2x^2-18=0

Square Root Property x=√9 or x=+3 or x=-3

Step-by-step explanation:

Quadratic Property or a quadratic Function is of the form ax^2+bx+c=0. So our task is to equate the given expression to zero. We can equate the expression to zero by subtracting 11 on both the sides. In doing so, we get 2x^2-18=0. This is the quadratic Property of the given Expression.

Square property is finding the value for x. we have make x equal to some value. Since we already have the quadratic Property as 2x^2-18=0, we can use this to find the value of x.

so, 2x^2=18

or x^2=18/2=9

or x=√9= +3 or -3.

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yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

t+2=3+\dfrac{(x-3\times35)}{51}

As t is same, thus put the value of t in this equation,

\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

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6 0
2 years ago
A wall is 4 m by 3 m. Which is the correct unit of measurement to use when figuring out how much paint to buy to cover the wall?
7nadin3 [17]
The answer would be b
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2 years ago
A parking space shaped like a parallelogram has a base of 17 feet and a height is 9 feet. A car parked in the space is 16 feet l
timama [110]
Ok, so we have to find areas and subtract

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subtract
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answer is 57 ft^2
4 0
3 years ago
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Answer:

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