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netineya [11]
3 years ago
11

What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?

Mathematics
1 answer:
seraphim [82]3 years ago
3 0

21.6 units

Calculate the length of the 2 inclined sides using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )

d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37

repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )

d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72

the vertical side has a length of 7 units

perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )



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Zanzabum
<span>(3x−2)(2x+3)=0
</span><span>(3x−2)=0; x = 2/3
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answer
x = -3/2 and x = 2/3</span>
3 0
3 years ago
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Compare and Contrast how you would factor x^2−9 and x^2+9. For full credit, make sure you explain why they are factored differen
marishachu [46]

The factored form of the expression x^2 - 9 is (x+3)(x-3)

The expression x^2 + 9 has no real roots hence cannot be factored

Quadratic equations are equations with a degree of 2.

Given the quadratic function x^2-9 \ and \ x^2+9

For the function x^2 - 9

=x^2-9\\=x^2-3^2

Using the difference of two squares:

a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)

For the expression x^2 + 9

The expression x^2 + 9 has no real roots hence cannot be factored

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7 0
2 years ago
Is N² + N always an even number? Explain
qaws [65]

Answer:

Yes

Step-by-step explanation:

Yes.

Let's first start with even numbers. (N - even number)

Any even number squared, is an even number. Then, we add that squared even number to another even number which would give us an even number.

Now, let's see odd numbers.

Any odd number squared would be an odd number. When you add "N", it would be adding an odd number to an odd number, which gives you an even number.

OR

We can start by factoring the expression:

N^2+N=N(N+1)

This is essentially multiplying two consecutive numbers, which in turn means that one number has to be even, and one has to be odd. An odd number multiplied by an even number will always be even.

7 0
2 years ago
6:
horrorfan [7]

Step-by-step explanation:

charging the phone for 1 minute ,it has 2%

i.e,1----->2

After 2 minutes from that time ,i.e total 3 minutes

it has 6% charge

i.e,3--------->6

from the both the above cases ,1 minute provide 2%=6/3

=2

Hence,

for getting 50%charge=50/2

=25 min

and,for 90 %charge=90\2

=45 min

8 0
2 years ago
It takes 32 minutes for 8 people to paint 8 walls. How many minutes does it take 12 people to paint 12 walls ? Confused !
Radda [10]

Answer:

It takes 32 Minutes for 12 people to paint 12 walls

Step-by-step explanation:

If it takes 8 people 32 minutes to paint 8 walls, then that means each person takes 32 minutes to paint 1 wall. With that being said, If you have 12 people painting 12 walls, It will take 32 minutes for all 12 walls to be painted.

Hope this helps!

4 0
3 years ago
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