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GrogVix [38]
3 years ago
5

Explain how to verify that 3(2x + 5) = 9 + 3x and x = –2 are equivalent equations.

Mathematics
1 answer:
aniked [119]3 years ago
6 0

3 times (2x + 5) is 6x + 15.

6x + 15 = 9 + 3x.

Group by like terms. 6 = -3x

Divide to get x by itself. 6/-3 = -2

Thus -2 = x

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B

Step-by-step explanation:

You count the units.

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What is the approximate area of the shaded sector in the circle shown below
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Answer:

Correct option is B.

Step-by-step explanation:

Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.

                   

                   

∴ Area of sector is

Correct option is B.

3 0
3 years ago
Find the exact value of each of the remaining trigonometric functions of theta when tan theta = -3/4
krok68 [10]

Step-by-step explanation:

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8 0
3 years ago
The equation of a line is given by, 13x – y + 12 = 0. Find the slope and both the intercepts.​
MArishka [77]

Answer:

The slope is 13.

The x intercept is x=\frac{-12}{13}.

The y intercept is y=12.

Step-by-step explanation:

1. Finding the slope.

This is a linear equation, because <u>it's graph forms a line</u>. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, <u>the slope is 13</u>.

2. Finding the x intercept.

The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:

13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}

<u>The x intercept is </u>x=\frac{-12}{13}<u>.</u>

3. Finding the y intercept.

The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:

13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12

<u>The y intercept is </u>y=12<u>.</u>

3 0
2 years ago
9
lawyer [7]

The 5 number summary are

Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19

<h3>How to identify the 5 number summary?</h3>

The complete question is in the attached image

The 5 number summary of box plot are:

  • Minimum
  • Lower quartile
  • Median
  • Upper quartile
  • Maximum

Each of these summaries are represented by the vertical lines of the box plot

From the attached box plot, we have:

Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19

Read more about 5 number summary at:

brainly.com/question/12490978

#SPJ1

4 0
2 years ago
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