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Oksana_A [137]
3 years ago
6

Simplify: x^2-4x+4/x^2-5x+6

Mathematics
1 answer:
svlad2 [7]3 years ago
4 0
\frac{x^{4} - 9 x^{3} + 6x^{2} + 4}{x^{2}}
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Daphne rolls two 6-sided number cubes. What is the probability that she rolls
Alex Ar [27]
The answer is A. 2/36 or 1/18
7 0
3 years ago
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In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.
Irina-Kira [14]
Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

c^{2} = a^{2} + b^{2} - 2abcosC

Rearranging this equation, we can find the value ∠C as shown below.

\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}
C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})

We can apply the same reasoning for finding the value of ∠B as shown.

B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})
C \approx 37.19

B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})
B \approx 53.13

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0
3 years ago
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Help I need help right now pls someone and thanks
wariber [46]
C because i took the test
3 0
3 years ago
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Find a equation for the slope 3/2 and Y intercept -1
Mashcka [7]

Answer:

\large\boxed{y=\dfrac{3}{2}x-1}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em> - <em>y-intercept</em>

We have

m=\dfrac{3}{2},\ b=-1

Substitute:

y=\dfrac{3}{2}x+(-1)=\dfrac{3}{2}x-1

5 0
3 years ago
Approximate the value of each of the irrational numbers below to the nearest thousandth.
Marta_Voda [28]

ANSWER

\sqrt{13}  = 3.606

to the nearest thousandth.

EXPLANATION

The given irrational number is

\sqrt{13}

We use the calculator to evaluate this to obtain,

\sqrt{13}  = 3.605551...

To round to the nearest thousandth means we are rounding to 3 decimal places.

The third decimal place is 5.

The next number is 5 so we round up.

\sqrt{13}  = 3.606

4 0
3 years ago
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