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sergey [27]
3 years ago
14

Review the scenario and the solution. Explain what is wrong with solution and correct the error.

Mathematics
2 answers:
butalik [34]3 years ago
7 0
2.25h(60m/hr)(1/3)=45m

So Rick spends 45 minutes studying math per night.
andrezito [222]3 years ago
5 0
He spends 45 minutes doing math.

Work - 2.25 time 60 gives the number of minutes he spent total = 135.
135 divided by 3 give the amount of time he worked on math since he          
spent a third of his time on math.
            
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3 years ago
The quotient of z and 4 please help me.
MAXImum [283]
"The quotient of z and 4"
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What is this Find the value of |-6| - 3(42 - 1).
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3 years ago
Find the area of the triangle formed by the origin and the points of intersection of parabolas y=− 1/3 (x−1)^2+8 and y=x^2−2x−3.
Kobotan [32]

Answer:

The area of the triangle formed by origin, and the points (4,5) and (-2,5) will be 15 sq. units.

Step-by-step explanation:

The two parabolas are y = - \frac{1}{3}(x - 1)^{2} + 8 and y = x² - 2x - 3.

Now, solving those two equations we will get the points of intersection.

So, - \frac{1}{3}(x - 1)^{2} + 8 = x^{2} - 2x - 3

⇒ - (x - 1)² + 24 = 3x² - 6x - 9

⇒ -x² + 2x - 1 + 24 = 3x² - 6x - 9

⇒ 4x² - 8x - 32 = 0

⇒ x² - 2x - 8 = 0

⇒ x² - 4x + 2x - 8 = 0

⇒ (x - 4)(x + 2) = 0

So, x = 4 or - 2.

Now, for x = 4 , y = 4² - 2(4) - 3 = 5 and the point of intersection is (4,5).

Or, for x = - 2, y = (- 2)² - 2(- 2) - 3 = 5 and the point of intersection is (-2,5).

Now, points (4,5) and (-2,5) make a straight line parallel to the x-axis at a perpendicular distance of 5 units from origin and its length is (4 - (- 2)) = 6 units.

So, the area of the triangle formed by origin, and the points (4,5) and (-2,5) will be = 0.5 × 5 × 6 = 15 sq. units. (Answer)

8 0
3 years ago
Which of the following will result in a rational answer? multiplying pi by a fraction, adding the square root of a non perfect s
katen-ka-za [31]

Multiplying a fraction by a repeating decimal since a fraction is rational and a repeating decimal is rational (repeating numbers will always be rational).  Rational number time rational number=rational Pi is an irrational number since the numbers are not repeating (3.1415926535 no repeating numbers as opposed to 0.3333333333333333333 or 0.1919191919)

8 0
3 years ago
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