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steposvetlana [31]
3 years ago
14

What is the correct answer and how can this be solved?

Mathematics
2 answers:
MissTica3 years ago
6 0

Answer:

\boxed{\displaystyle \frac{1}{19}}

Step-by-step explanation:

\displaystyle \frac{n+2}{2n^2 +3n-2}

Replace n with 10 to find the 10th term.

\displaystyle \frac{10+2}{2(10)^2 +3(10)-2}

Evaluate.

\displaystyle \frac{12}{2(100) +30-2}

\displaystyle \frac{12}{200 +30-2}

\displaystyle \frac{12}{228}

Simplify.

\displaystyle \frac{1}{19}

pav-90 [236]3 years ago
5 0

Answer:

$\mathbf{\frac{1}{19} }

Step-by-step explanation:

$$\bullet \Nth \ Term;\\$$$\frac{n+2}{2n^{2} +3n-2}

$$\bullet U_{10} \ Term;\\\\$$\boxed{\frac{(10+2) }{2*10^{2} +3*10-2}=  \frac{1}{19} }

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Circle A has center of (2, 3) and a radius of 5, and circle B has a center of (1, 4) and a radius of 10. What steps will help sh
Kay [80]

To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.

<h3>How to prove that two circles are similar</h3>

Herein we must prove that two circles are similar by taking advantage of two key characteristics: (i) Center, (ii) Radius. Based on such facts, we must apply the following <em>rigid</em> transformation:

  1. Translating the circle from A to B.
  2. Enlarging the circle A by a <em>dilation</em> factor.

Step 1 - Traslating the circle from A to B: Translation vector - (- 1, 1).

(x, y) = (2, 3) + (- 1, 1)

(x, y) = (1, 4)

Step 2 - Dilate the circle by a factor of 2.

r = 2 · 5

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To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.

To learn more on transformation rules: brainly.com/question/9201867

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5 0
2 years ago
What is the slope of the line that goes through the following ordered pairs? (1,14) and (2,14)
o-na [289]

Answer:

The slope is 0

Step-by-step explanation:

Try graphing it for a better way to see it. If it passess through (1,14) and (2,14), the line is going horizontally, so it has no slope. I hope this helps.

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3 years ago
If the length of HJ is 7 find x
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So to find x we need to add both HI and IJ - which we know equals 7:

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Then we need to combine like terms:

x^{2}+7x+17=7

And then set equal to 0:

x^{2}+7x+10=0

Then we can factor:

(x+5)(x+2)=0

So then when we set each term equal to 0 individually and solve for x we get: x = -5 and x = -2.

So we have these two values - we need to test which one is correct. So if we go back to the HI segment, let's try plugging in x = -5:

4(-5)+13=-7

This gives us a negative number, which we know that length cannot be negative. Let's try x = -2:

4(-2)+13=5

This gives us a positive length and therefore we can keep this value.

So the answer is: x = -2.

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