Shakira and Evelyn disagree on the method used to find the perimeter of an equilateral triangle whose side measures 4n-2. Whose method is correct? Explain. Shakira's method: 3(4n-2) Evelyn's method: (4n-2)+(4n-2)+(4n-2)

Answer:

C. 13

Step-by-step explanation:

4x+1 = 6x-5

    -1         -1

4x= 6x-6

-6x   -6x

-2x=-6

divide by -2

x=3

4(3)+1

12+1

13

Answer:

13

Step-by-step explanation:

6x-5=4x+1 (subtract 4x from both sides and then add 5 to both sides)

2x=6 (divide by 2)

x=3

Substitute 3 for x

6(3)-5 =18-5=13 or 4(3)+1=12+1=13

Answer:

1

Step-by-step explanation:

We need two points to find the slope

( -1,0) and ( 2,3)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 3-0)/(2 - -1)

  = (3-0) / ( 2+1)

  = 3/3

  = 1

The slope is 1

Answer:

52.5

Step-by-step explanation:

You would use the Pythagorean theorem to solve this. Using the formula,

a^2 + b^2 = ^2

You would have an equation of 50^2 + 16^2 = c ^2.

50^2 is 2500, and 16^2 is 256.

There, you have 2500+256 = c^2

add those together, and you have 2756.

Now, you have to find the square root of 2756 (to solve 2756 = c^2)

which leaves you with 52.4976189936 . Rounded to the nearest tenth, you end up with 52.5.

Answer: The last choice, 2x + 3y = 10

Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.

Answer:

D

Step-by-step explanation:

Answer:

360 ft

Step-by-step explanation:

6 x 5 x 4 x 3 = 360

b. 360 ft

Answer:

80

Step-by-step explanation:

Reverse it too, 8 divided by 1/10, which is 80.

Answer:

51in

Step-by-step explanation:

Just set the equations of line OP and line O'P' equal to one another, then solve for x.

ie: 3(2x+3)=(8x-5)

To solve for x, distribute first. Then, subtract 6x from each side. Then, add 5 to each side.

ie: 6x+9=8x-5

ie: 14=2x

Now divide by 2.

ie: 7=x

Now that you have your x value, plug it back into one of the equations and solve for the measure of line OP. To check you answer, plug 7 for x into the equation where they are set equal, then solve them both and if the end result is true (51=51) it is correct.

Answer:

y = 0.2

Step-by-step explanation:

Simplifying

-6y + 5 = 29y + -2

Reorder the terms:

5 + -6y = 29y + -2

Reorder the terms:

5 + -6y = -2 + 29y

Solving

5 + -6y = -2 + 29y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29y' to each side of the equation.

5 + -6y + -29y = -2 + 29y + -29y

Combine like terms: -6y + -29y = -35y

5 + -35y = -2 + 29y + -29y

Combine like terms: 29y + -29y = 0

5 + -35y = -2 + 0

5 + -35y = -2

Add '-5' to each side of the equation.

5 + -5 + -35y = -2 + -5

Combine like terms: 5 + -5 = 0

0 + -35y = -2 + -5

-35y = -2 + -5

Combine like terms: -2 + -5 = -7

-35y = -7

Divide each side by '-35'.

y = 0.2

Simplifying

y = 0.2

Answer:

y=0.20

Step-by-step explanation:

-6y+5=29y-2  Carry the -6 over to the 29.

5=35y-2    Carry the -2 over to the 5.

7=35y

y=0.20

CHECK: -6(0.20)+5=29(0.20)-2

-1.2+5= 5.8-2

3.8=3.8

If you have any questions feel free to ask

Answer:

The answer is y=3

Answer:

um thats an awnser.....?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any line has an equation ax+by+c=0 with some constants a, b and c. Because your line passes through the points (-1,1) and (3,5), you have two equations, -a+b+c=0 and 3a+5b+c=0. If you find a solution to these equations, you will find an equation of your line.

Answer:

Umm sorry i thought i knew it But my answer was wrong. I'm sorry and i hope you found the answer:)

Step-by-step explanation:

Answer: I think the answer is x = 4

Step-by-step explanation: 28 = 7x

                                           /7       /7

                                             4   =  x

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.

The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

How to find the type of triangle?

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,

           [tex]c^2=a^2+b^2[/tex]

       By this law it is observed that,

         [tex]c^2<(a^2+b^2)[/tex]

        [tex]c^2>(a^2+b^2)[/tex]

The sides of the given triangle are  3.8 cm ,3.7 cm, and 5 cm.

Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,

[tex]c^2=5^2\\c^2=25[/tex]

Other two sides,

[tex]a^2+b^2=3.8^2+3.7^2\\a^2+b^2=14.44+13.69\\a^2+b^2=28.13[/tex]

Therefore,

[tex]25<28.13\\[/tex]

Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

Learn more about the type of triangle here;

https://brainly.com/question/2644832

Answer:

Yes

Step-by-step explanation:

two of the different sides match

Answer:

1) m=-7/5

2) m=-7/5

3) parallel

Step-by-step explanation:

the first part:

graph the points and then find the slope

m=-7/5

the second part:

slope= m in y=mx+b

m=-7/5

the last part:

they are parallel because they have the same slope

Answer:

slope of two points is m=-7/5

SLOPE OF THE EQUATION GIVEN -7/5

PARALELL

Step-by-step explanation:

Answer:

Hope this helps!!! :)

Step-by-step explanation:

#1: if there is buy 1 get 1 free, then buy 6 get 3 free. so 2.8 times 3 = $8.4

#2: 4 for $3. break it up to 1 for $0.75. now 0.75 times 6 = $4.5

#3: the second one. $4.5 < $8.4

#4: 45 times 12 = $54

Answer:

49243

Step-by-step explanation:

Given that the population of rabbits on an island is growing exponentially.

Let the population, [tex]P=P_0e^{bt}[/tex]

where, [tex]P_0[/tex] and b are constants, t=(Current year -1994) is the time in years from 1994.

In 1994, t=0, the population of rabbit, P=9600, so

[tex]9600=P_0e^{b\times 0}[/tex]

So, [tex]P_0=9600[/tex]

and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400

[tex]18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\[/tex]

[tex]\ln(23/12}=6b \\\\[/tex]

[tex]b = \frac{\ln{1.92}}{6} \\\\[/tex]

b=0.109

On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

[tex]P=9600 \times e^{0.109\times t}[/tex]

In 2009, t= 2009-1994=15 years,

So, the population of the rabbit in 2009

[tex]P=9600 \times e^{0.109\times 15}=49243[/tex]

Hence, the population of the rabbit in 2009 is 49243.

Answer:

Mean is 3, median is 1, and range is 6

Step-by-step explanation:

Im a smart dude with a great attitude

Answer: -7

Step-by-step explanation: .........................

Answer:

61 degrees

Step-by-step explanation:

m∡QRT=m∡SRT

5x – 9=2x + 33

3x=42

x=14

∡SRT=2x+33

∡SRT=2(14)+33

∡SRT=28+33

∡SRT = 61