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max2010maxim [7]
3 years ago
12

The vertices of triangle rst are r(–1,–2), s(2,–1), and t(4,2). If δjkl ∼ δrst and the length of kl is units , what is the lengt

h of jk?
Mathematics
2 answers:
NemiM [27]3 years ago
7 0

Answer:

3.16 units

Step-by-step explanation:

It has been given that the triangles JKL and the triangle RST are congruent.

That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.

Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are (-1,-2) and (2,-1).

The length of the side RS is equal to the distance between point R and S.

RS =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

= \sqrt{(2-(-1))^2+(-1-(-(-2))^2}

=\sqrt{3^2+(-1+2)^2}

=\sqrt{9+1}=\sqrt{10}=3.16

Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.

chubhunter [2.5K]3 years ago
3 0

Answer:

sq root of 10 over 2

Step-by-step explanation:

took it on edge

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I need urgent help with this
iren2701 [21]

Answer:

A. =4x3+9x2−25x+12

Step-by-step explanation:

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=4x3+13x2−12x−4x2−13x+12

=4x3+9x2−25x+12

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In 1850, a person sold a house to a lady for $30. If the lady had put the $30 into a bank account paying 4% interest, how much w
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3 years ago
Use the function below to find f(1). f9t0=4
ExtremeBDS [4]

The value of the F(1) is 1/2 option (C) is correct after plugging the value of t = 1 in the provided function.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is attached in the picture please refer to the picture.

We have a function:

\rm F(t) = 4\dfrac{1}{2^{3t}}

Plug t = 1

\rm F(1) = 4\dfrac{1}{2^{3\times1}}

After solving:

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Thus, the value of the F(1) is 1/2 option (C) is correct after plugging the value of t = 1 in the provided function.

Learn more about the function here:

brainly.com/question/5245372

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6 0
1 year ago
hi:) I’m not sure if this is correct. For the justifying part , must I still use the discriminant or can I just say that since t
labwork [276]

You did it right (almost, I got 21 instead of 19) but didn't finish.  You need to show your discriminant is never negative.

x² + (p+1)x = 5-2p

x² + (p+1)x +(2p-5) =0

Real roots mean a positive (or at least non-negative) discriminant:

D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20

D =  p² - 6p + 21

It's not totally obvious that D>0; we prove that by completing the square by noting

(p-3)² = p² - 6p + 9

so

p² - 6p = (p-3)² - 9.

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D =  (p-3)² - 9 + 21

D = (p-3)² + 12

Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12.   We always get two distinct real roots.

3 0
3 years ago
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