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Vanyuwa [196]
2 years ago
12

Subtract 2x^2-3xy+4y^2 from 3x^2-5xy-6y^2

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
8 0

Answer:

-x^{2} +2xy+10y^{2}

Step-by-step explanation:

2x^2-3xy+4y^2-(3x^2-5xy-6y^2)\\2x^2-3xy+4y^2-3x^2+5xy+6y^2\\-x^{2} +2xy+10y^{2}

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Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rin
Mariana [72]

Answer:

The answer is: 13 minutes

Step-by-step explanation:

First Let us form equations with the statements in the two scenario

time=\frac{distance}{speed}

Let the time in which the bell rings be 'x'

1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes

3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)

2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes

x - 3 = \frac{distance}{80} \\distance = 80(x-3)   - - - - - (2)

In both cases, the same distance is travelled, therefore, equation (1) = equation (2)

50(3+x)=80(x-3)

150 +50x=80x-240\\

Next, collecting like terms:

150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\

dividing both sides by 3:

x =  390÷30 = 13

∴ x = 13 minutes

7 0
3 years ago
What is the least common denominator for 1/4, 5/3, and 7/9?
bezimeni [28]

Rewriting input as fractions if necessary:

3/2, 3/8, 5/6, 3/1

For the denominators (2, 8, 6, 1) the least common multiple (LCM) is 24.

Therefore, the least common denominator (LCD) is 24.

6 0
3 years ago
Evaluate the expression for the given value of the variables.
bonufazy [111]
An integer or a decimal
8 0
3 years ago
Determine whether the graph of f(x) is a sinusoid.<br> f(x) = sin 20x + cos 8x
vodomira [7]

Answer

b. No

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is a sinusoid.

The function is

f(x) =  sin(20*x) + cos(8*x)

Which can be seen in the picture below

We can notice that f(x) is a not sinusoid. It has periodic amplitudes, and the function has a period T = π/2

The maximum and minimum values are

Max = 1.834

Min = -2

5 0
2 years ago
Is 3/x+4/y=2 linear or non-linear
Eduardwww [97]

The given equation is non-linear.

Solution:

Given expression is \frac{3}{x} +\frac{4}{y} =2.

To find the equation is linear or non-linear.

Linear equation is a straight line which is in the form ax + by + c = 0.

Otherwise it is non-linear equation.

⇒ \frac{3}{x} +\frac{4}{y} =2

Do cross multiply for the fractions to make the denominators same.

⇒ \frac{3y}{yx} +\frac{4x}{yx} =2

⇒ \frac{3y+4x}{yx} =2

Do cross multiplication.

⇒ 3y+4x=2yx

⇒ 4x+3y-2yx=0

Here, there is no constant term.

So, the equation is not a straight line.

Hence, the given equation is non-linear.

5 0
3 years ago
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