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Mekhanik [1.2K]
3 years ago
12

What is the product of (7x²y³)(3x⁵y⁸) ?

Mathematics
1 answer:
rusak2 [61]3 years ago
3 0

Answer:

21 x ^7 y ^11

Step-by-step explanation:

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Find the slope of the line passing through the points (-5,3) and (-7,5).
Alekssandra [29.7K]

Step-by-step explanation:

points (-7,5) and (5,-3)?

This would mean to subtract the y coordinates:

5 - (-3) = 8

Then subtract the x coordinates in the same order:

-7 - 5 = -12

Then divide the y result by the x result for the slope:

8/-12 is the slope.

In simplest form, this is equivalent to -2/3

4 0
2 years ago
Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)
kifflom [539]

Answer:

\displaystyle y=\frac{2}{3}(x+5)+2

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

The given line can be expressed as:

\displaystyle y=-\frac{3}{2}x+4

We can see the slope of this line is m1=-3/2.

The slopes of two perpendicular lines, say m1 and m2, meet the condition:

m_1.m_2=-1

Solving for m2:

\displaystyle m_2=-\frac{1}{m_1}

\displaystyle m_2=-\frac{1}{-\frac{3}{2}}

\displaystyle m_2=\frac{2}{3}

Now we know the slope of the new line, we use the slope-point form of the line:

y=m(x-h)+k

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}

6 0
3 years ago
Solve the equation.
Vinil7 [7]
If you would like to solve the equation x + 1/6 = 6, you can do this using the following steps:

x + 1/6 = 6       /-1/6
x + 1/6 - 1/6 = 6 - 1/6
x = 6 - 1/6
x = 36/6 - 1/6
x = 35/6
x = 5 5/6

The correct result would be C. x = 5 5/6.
5 0
3 years ago
The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?
Ratling [72]

<u>Statement</u><u>:</u>

The circle has a diameter of 16 inches.

<u>To </u><u>find </u><u>out:</u>

The area of the circle.

<u>Solution</u><u>:</u>

  • Diameter of the circle = 16 inches.

  • Radius of the circle
  • = Diameter ÷ 2
  • = 16 inches ÷ 2
  • = 8 inches

  • π = 3.14

  • We know, area of a circle = πr² where r is the radius.

  • Therefore, the area of the circle
  • = 3.14 × (8)² square inches
  • = 3.14 × 64 square inches
  • = 200.96 square inches
  • = 201 square inches [rounded to the nearest square inch]

<u>Answer</u><u>:</u>

C) 201 square inches

Hope you could understand.

If you have any query, feel free to ask.

4 0
2 years ago
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I need help with Math please
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3 years ago
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