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Lyrx [107]
2 years ago
8

What is the following sum? Assume x20 and 20. √√x²y³ +2√√x³y² + xy √√y

Mathematics
1 answer:
max2010maxim [7]2 years ago
3 0

The value of the expression \sqrt{x^2y^3} + 2\sqrt{x^3y^4} + xy\sqrt y is 2xy\sqrt{y} + 2xy^2\sqrt{x}

<h3>How to evaluate the sum?</h3>

The attachment represents the proper format of the question

The summation expression is given as:

\sqrt{x^2y^3} + 2\sqrt{x^3y^4} + xy\sqrt y

Expand the radicands

\sqrt{x^2y^2 * y} + 2\sqrt{x^2y^4* x} + xy\sqrt y

Evaluate the square roots

xy\sqrt{y} + 2xy^2\sqrt{x} + xy\sqrt y

Add the like terms

2xy\sqrt{y} + 2xy^2\sqrt{x}

Hence, the value of the expression \sqrt{x^2y^3} + 2\sqrt{x^3y^4} + xy\sqrt y is 2xy\sqrt{y} + 2xy^2\sqrt{x}

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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Dominik [7]

Answer:

<h2>50.8°</h2>

Step-by-step explanation:

First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.

2√15² = 2√6² + b²

60 = 24 + b²

Subtract 24

36 = b²

b = 6

Now, that we have all three sides, we will use the law of cosines to figure out the angle.

c² = a² + b² - 2abCosC°

Substitute the values in.

6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°

36 = 60 + 24 - 2(37.947331922)CosC°

36 = 60 + 24 - 75.894663844CosC°

36 = 84 - 75.894663844CosC°

Subtract 84

-48 = -75.9CosC°

0.63241106719 = CosC°

Arccos (0.63241106719) = 50.77176844°

The largest acute angle is approximately 50.8°

8 0
3 years ago
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Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y=8x-6
jok3333 [9.3K]

Answer:

y = (-1/4)x + 9/4

Step-by-step explanation:

2y = 8x - 6

So, y = 4x - 3  (Slope = 4)

Slope of perpendicular line = -1/4

Equation of line:  y-3 = (-1/4)(x-(-3))

                          y-3 = (-1/4)x - 3/4

                             y = (-1/4)x + 9/4

3 0
3 years ago
4.(-x 4 + 13x 5 + 6x 3 ) + (6x 3 + 5x 5 + 7x4)
grigory [225]

Answer:

140

Step-by-step explanation:

=(-4+55+18)+(18+25+28)

=69+71

=140

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4 years ago
(1st pic) What is the equation of the line shown in this graph?
vredina [299]

Answer:

For figure 1: The equation of a line is y=1

For figure 2: The equation of a line is y=(-4)x+1

For figure 3:The equation of a line is y=\frac{-5}{2}x+5

Step-by-step explanation:

The equation of line slope-intercept form is given by y=mx+c

Where m is the slope of the line and c is the y-intercept.

For figure 1:

Here, Line is parallel to x-axis

Hence, Slope m=0

Also, Line passing to y axis at (0,1)

Y-intercept is c=1

Therefore,

The equation of line is

y=0x+1

y=1

For figure 2:

Figure show a line passing through point (1,-3) and (-1,5)

The slope of the line is given by m=\frac{Y2-Y1}{X2-X1}

Using given points to find out the slope of a line

m=\frac{Y2-Y1}{X2-X1}

m=\frac{5-(-3)}{(-1)-1}

m=\frac{8}{-2}

m=(-4)

Also, Line is intersecting y-axis at (0,1)

Hence, c=1

We can write the equation of line as

y=mx+c

y=(-4)x+1

Thus, The correct option is D). y=(-4)x+1

For figure 3:

From the figure, a line is passing through points (-2,0) and (0,5)

The slope of the line is given by m=\frac{Y2-Y1}{X2-X1}

Using given points to find out the slope of a line

m=\frac{Y2-Y1}{X2-X1}

m=\frac{5-0}{0-(-2)}

m=\frac{-5}{2}

Also, Line is intersecting y-axis at (0,5)

Hence, c=5

We can write the equation of line as

y=mx+c

y=\frac{-5}{2}x+5

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Answer:

Step-by-step explanation:

1 cat + 20 dogs + 60 men + 5 shark=​ 86

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