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4 years ago

Suppose the side lengths are multiplied by 2. Describe the change in the perimeter

Mathematics

1 answer:

max2010maxim [7]4 years ago

3 0

Answer:

The perimeter would also be multiplied by 2.

Step-by-step explanation:

The perimeter would also be multiplied by 2. Suppose the sides of a triangle are 5, 10 and 13. The perimeter would be the sum of the side lengths or 5 + 10 + 13 = 28 ft.

Multiply each side length so 5*2 = 10, 10*2 = 20 and 13*2 = 26. Find the perimeter by finding their sum, 10 + 20 + 26 = 56.

Divide the new perimeter by the old perimeter to find a scale factor.

56/28 = 2.

The new perimeter is exactly 2 times bigger since 2*28 = 56.

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I know that: the first term of the sequence is -2, and the fifth term is - 1/8 . What is the 2nd term, 3rd term 4th term do you

Murljashka [212]

Solution

Here the first term = -2

5th term = -1/8

Now we have to find the common ratio (r)

Fifth term A5 = -1/8

-1/8 = $a_{1} r^{4}$

Here $a_{1} = -2$

Plug in $a_{1} = -2$ in the fifth term and find the value of r.

-1/8 = -2 $r^{4}$

$r^{4} = \frac{-1/8}{-2}$

$r^{4} = \frac{1}{16}$

Taking 4th root, we get

r = $\frac{1}{2}$

Now let's find the second term.

$a_{2} =$ first term *r = -2 *1/2 = -1

2nd term = -1

3rd term = second term * 1/2 = -1 * 1/2 = -1/2

4th term = 3rd term *r = -1/2 *1/2 = -1/4

Thank you :)

6 0

3 years ago

How many solutions does this system of equations have? y = –2x + 2 2y + 4x = 4

Rama09 [41]

Step-by-step explanation:

First we solve it.

I'll use substitution.

In the first equation y equals -2x+2 so we can apply that to the second equation

2y + 4x = 4

2(-2x+2) + 4x = 4

distribute

-4x+4+4x=4

simplify

4=4

To figure out how many solutions it has:

•If both side of the equal sign are exactly the same: Infinitely many

ex: 6x=6x

•If both sides of the equal sign do not match when completely simplified: No solutions

ex: 3x=-5x

•If it creates an equation: 1 solution

ex: x=3+2y

Since both sides of the equal sign are 4, we have infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

7 0

3 years ago

Can someone help please

Novosadov [1.4K]

Answer: 4/9

Step-by-step explanation:

7 0

4 years ago

Plz help its so confusing

aleksklad [387]

Answer:

20, 4

Step-by-step explanation:

Let's assume total number of students registered is n

Last week n/4 people are absent

so people present are n - n/4 = 3n/4

Today after return of Jen 1/5 n are absent

so people present are n - n/5 = 4n/5

which is also equal to last week present people + 1 (Jen)

= 3n/4 + 1

= (3n + 4) / 4

so (3n + 4) / 4 = 4n/5

=> 3n + 4 = 4n/5 * 4

=> (3n + 4) * 5 = 16n

=> 15n + 20 = 16n

=> 20 = n

=> n = 20

So total students registered for class is 20

today no of people absent = n/5 = 20/5 = 4

8 0

3 years ago

2m-nx=x+4 Solve for x

devlian [24]

X=2m-nx-4
If you need help just ask me.

5 0

4 years ago