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SOVA2 [1]
3 years ago
14

In a certain triangle the longest side is twice as long as the shortest side and the shortest side is 4 inches shorter than midd

le side. If the perimeter of the triangle is 52 inches how long is the longest side?

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

24 inches

Step-by-step explanation:

Let the longest side be x, the middle side be y and the shortest side be z

Rest is in the attached file

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Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg
Eva8 [605]

Given:

The given expression is:

(-4x+9)^2

According to Kylie,

(-4x+9)^2=(-4x)^2+(9)^2

(-4x+9)^2=16x^2+81

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

(-4x+9)^2

According to the perfect square trinomial (a+b)^2=a^2+2ab+b^2.

(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2

(-4x+9)^2=16x^2-72x+81

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

4 0
3 years ago
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Solve the inequality: x/-3 < -10
seropon [69]

Answer:

x>30

Step-by-step explanation:

x/-3<-10

x<-10*-3

x<30

x>30

8 0
2 years ago
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How do you find a volume of a cube and Rectangular prism and a cylinder? PLEASE HELP ASAP ASAP PLEASSEEEEEEE I BEG YOU
Nat2105 [25]

Of course!

Cube: side length * side length * side length

So if it's a 6x6x6 cube, it's 6*6*6 = 216

Rectangular Prism: side length * side height * base width

So if it's a 6x7x8 prism, it's 6*7*8 = 336

Cylinder: π * (radius squared) * height

So if the base's radius is 6 and the height is 7, it's π*6^2*7 = 252π

5 0
2 years ago
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If PQ=8 and Q lies at -13 where could P be located?
choli [55]

Answer:

In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).

Step-by-step explanation:

There is really no need to use any quadratics or roots.

( Consider the same problem on the plain number line first.  )

How do you find the number between 2 and 5 which is twice as far from 2 as from 5?

You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get

4=2+23(5−2)

It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then

R=P+23(Q−P)

so in your case we get

R=(0,−1)+23(3,3)=(2,1)

Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)

Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get

s=a+b=2b+b=3b

⇔b=13s⇒a=23s

7 0
2 years ago
A fair coin is flipped three times. What is the probability of getting two heads and then a tail?
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2/3!

I hope this helped! Mark me Brainliest! :) -Raven❤️
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2 years ago
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