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Gnom [1K]
2 years ago
13

Perform the indicated operation. 15b/4 * 8/9a^2b^2

Mathematics
1 answer:
Sergio [31]2 years ago
7 0

Answer:

The simplified expression is \frac{10}{3 a^2 b}

Step-by-step explanation:

The given expression is:

\frac{15b}{4} * \frac{8}{9a^2 b^2}

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

= \frac{120b}{36 a^2 b^2} \\\\

Divide both the numerator and the denominator by 12b:

= \frac{120b /12b}{36 a^2 b^2/12b}

The expression finally becomes:

= \frac{10}{3 a^2 b}

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68.8% is your answer

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Answer:

y = 3.3x + 20

Step-by-step explanation:

-2/3x +1/5y = 4   y = mx + b

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8 0
2 years ago
Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

m=\frac{ChangeInY}{ChangeInX}

Which is for this case:

m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

m=-4

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at:  y=64

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

y=mx+b=-4x+64\\y=-4x+64

So, the correct option is the first option:

y=-4x+64

Have a nice day!

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2 years ago
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Answer:

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m∠C = 360° - 90° - 90° - 73°

         = 107°

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