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frutty [35]
3 years ago
15

Solve for n 4 + 3n = –6 + 4n

Mathematics
2 answers:
Nikolay [14]3 years ago
5 0

Answer: 10

Step-by-step explanation:

vivado [14]3 years ago
4 0

Answer:

n=10

Step-by-step explanation:

4+3n=−6+4n

Step 1: Simplify both sides of the equation.

3n+4=4n−6

Step 2: Subtract 4n from both sides.

3n+4−4n=4n−6−4n

−n+4=−6

Step 3: Subtract 4 from both sides.

−n+4−4=−6−4

−n=−10

Step 4: Divide both sides by -1.  

n=10

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Can someone please explain how to solve this problem(31)
pogonyaev

Answer:

  (-1.92, 1.08)

Step-by-step explanation:

The <em>incenter</em> is the center of the largest circle that can be inscribed in the triangle. That circle is called the <em>incircle</em>. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the <em>inradius</em> (the radius of the incircle), is found from a simple formula:

  r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs

In your triangle, the inradius is ...

  r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452

Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...

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4 0
3 years ago
Calculate the rate of change from the graph below
qaws [65]

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

  • Δy is the vertical change
  • Δx is the horizontal change

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = \frac{3}{4} = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

7 0
3 years ago
1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest
PIT_PIT [208]

Answer:

b. 3

Step-by-step explanation:

In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].

30°-60°-90° Triangles

x√3 → long side

x → short side

2x → hypotenuse

45°-45°-90° Triangles

x → two legs

x√2 → hypotenuse

I am joyous to assist you anytime.

3 0
3 years ago
Solve for x please thanks
stealth61 [152]

Answer:

x = 9

Step-by-step explanation:

17x - 1 = 84 + 7x + 5

17x - 7x = 84 + 5 + 1

10x = 90

x = 9

3 0
2 years ago
A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of
Alchen [17]
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.

The value of x is <span>5 feet. </span>

5 0
3 years ago
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