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Bas_tet [7]
3 years ago
11

Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution? pls help :)

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

To solve you can use inverse operations.

Here are the steps to find the answer:

1. Write out the equation: -6(x-2)+3x= -3(x+3) +21

2. Distribute both sides: -6x+12+3x= -3x-9+21

3. Simplify both sides: -3x+12=-3x+12

4. This equation is true for all values, or infinity, because the equation is the same on both sides

Let me know if you need further explanation. I hope this helps.

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What is a straight curve with no end pionts
Anni [7]

Answer:


Step-by-step explanation:

In mathematics, a curve (also called a curved line in older texts) is an object similar to a line but that need not be straight. Thus, a curve is a generalization of a line, in that its curvature need not be zero.

8 0
2 years ago
Read 2 more answers
What is the slope of this line?
Brums [2.3K]

Answer:

slope=\frac{1}{4}

Step-by-step explanation:

The slope of a line can be seen as:

\frac{rise}{run}

Rise over run is the change in the y values over the change in x values. For example, in this graph, you would start on one of the points given. From there, you would move up first. After moving up a certain number of spaces, you would move to the side until you reach the other point.

In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:

\frac{1}{4} =\frac{rise}{run}=slope

Therefore, the slope is \frac{1}{4}.

This is true for any two points on the line.

:Done

*When you move up, the number will be positive (\frac{+y}{x} ). If you move down, the number will be negative (\frac{-y}{x} ). If you move left, the number will be positive (\frac{y}{+x}). If you move right, the number will be negative (\frac{y}{-x} ). Keep this in mind. It is very important.

**Always <em>move along the y-axis first</em>, then move along the x-axis. If you do it the other way, the slope will be wrong.

6 0
3 years ago
En una sala de clases hay 20 mujeres y 12 hombres. Si se escoge uno de ellos al azar.¿Cuál es la probabilidad de que la persona
snow_tiger [21]

Answer:

5/6

Step-by-step explanation:

4 0
3 years ago
The third, fifth and eighth terms of an AP are the first 3 consecutive terms of a GP. Given that the first term of the AP is 8,
marshall27 [118]

Answer:

Common Difference = 2.

Step-by-step explanation:

An AP can be written as  a1,  a1 + d,  a1 + 2d,  a1 + 3d,  a1 + 4d,  a1 + 5d, a1 + 6d , a1 + 7d.    

 where a1 = first term and d is the common difference.

Here first term = a1 = 8

3rd term = a1 + 2d = 8 + 2d

5th term = a1 + 4d = 8 + 4d

8th term = 8 + 7d

First 3 terms of a GP are  a , ar and ar^2

So from the given information:

a = 8 + 2d

ar = 8 + 4d

ar^2= 8 + 7d

Dividing the second equation by the first  we have

r = (8 + 4d)/(8 + 2d)

Dividing the third by the second:

r = (8 + 7d) / (8 + 4d)

Therefore, eliminating r we have:

(8 + 4d)/(8 + 2d)  =   (8 + 7d)/(8 + 4d)

(8 + 4d)^2 = (8 + 2d)(8 + 7d)

64 + 64d + 16d^2 =  64 + 72d^ + 14d^2

2d^2 - 8d  = 0

2d(d^2 - 4) = 0

2d = 0 or d^2 = 4, so

d =  0, 2.

The common difference can't be zero so it must be 2.

8 0
3 years ago
The figure below shows part of a stained-glass window depicting the rising sun. Which function can be used to find the area of t
Kryger [21]

Answer:

A(w) = w^2 + 5w - \frac{1}{8}\pi w^2

Step-by-step explanation:

A = the area of the region outside the semicircle but inside the rectangle

w = the width of the rectangle or diameter of the semicircle

Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).

A(w) = (area of rectangle) - (area of semicircle)

A(w) = (l*w) - (\frac{1}{2} \pi r^2)

Where,

lenght of rectangle (l) = w + 5

width of rectangle (w) = w

r = ½*w = \frac{w}{2}

Plug in the values:

A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)

A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)

Simplify

A(w) = (w^2 + 5w) - (\frac{1}{2} \pi (\frac{w^2}{4})

A(w) = w^2 + 5w - \frac{1}{2}*\pi*\frac{w^2}{4}* \pi

A(w) = w^2 + 5w - \frac{1*\pi*w^2}{2*4}

A(w) = w^2 + 5w - \frac{1*\pi w^2}{8}

A(w) = w^2 + 5w - \frac{1}{8}\pi w^2

3 0
3 years ago
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