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Kay [80]
3 years ago
8

An equilateral triangle has a perimeter of 21 and a side length of 2x - 3. Solve for x

Mathematics
1 answer:
scoray [572]3 years ago
4 0

Answer:

x=3

Step-by-step explanation:

Because it is equilateral, all the sides are equal. so you can make your equation

3(2x-3)=21

Distribute the 3 throughout, giving you 6x-3=21

Subtract the 3 from both sides, and you are left with 6x=18

Divide 18 by 6 and you get 3.

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-2y + 2x = 10 for x please help
AleksAgata [21]
-2y+2x=10
2x=10+2y
x=5+y
7 0
3 years ago
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In a 10 m2 ecosystem, there are 20 raccoons. The population density of raccoons is _____.
katrin2010 [14]
To find the density of racon all you have to do is to divide number of racoons with surface area because as name says you need to get x number of racoons per m^2

its own name tells you what you need to divide with what.

answer is:
20/10 = 2 raccoons per m^2
8 0
3 years ago
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A road has an incline of 10°. To the nearest foot, find the increase in altitude of a car after driving 4,000 feet along the roa
LUCKY_DIMON [66]

Answer:

7

Step-by-step explanation:

Because

6 0
2 years ago
Which operation can be used with the augmented matrix below?
ycow [4]

Answer:

Multiply row 2 by-1 and add it to row 3.

Step-by-step explanation:

The given augmented matrix is \left[\begin{array}{ccc}3&-21&15\\15&8&15\\-2&-1&3\end{array}\right]

The permissible row operations are:

1. Switching rows

2. Multiplying a row by a nonzero constant.

3. Adding/Subtracting two rows

 Therefore the correct option is: Multiply row 2 by-1 and add it to row 3.

5 0
3 years ago
Solve the following system of linear equations by graphing.
Oksanka [162]

Answer:

See Explanation

Step-by-step explanation:

For y=-\frac{1}{2}+3: (0,3) (2,2)

The equation is in slope intercept form. y=mx+b

The y intercept is 3.

The slope is 1/2.

Moving one unit down and 2 units to the right, we get (2,2)

For y=2x-2: (0,-2) (1,0)

The y intercept is -2.

The slope is 2.

Moving 2 units up and 1 unit to the right, we get (1,0)

8 0
3 years ago
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