All categories

2 years ago

Simplify the expression

Mathematics

1 answer:

ollegr [7]2 years ago

4 0

Answer:

Step-by-step explanation:

$\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5$

You might be interested in

For 50 points + branliest ! <br> Study the model to answer the question

Anika [276]

I’m pretty sure the correct answer is B

4 0

1 year ago

Find the values of x and y. lines that appear to be tangent are tangent

Ket [755]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value of $y = 122^o$

The value of $x = 61^o$

Step-by-step explanation:

Generally the total angle that make up a circle is

$\theta _T = 360$

From the diagram we see that

$\theta _T = y^o + 238^o$

=> $y^o = 360 -238$

$y^o = 122^o$

Generally angle that is formed as a result of interception of a chord and a tangent is equal to the intercepted arc divided by 2

This implies that

$x = \frac{y}{2}$

substituting values

$x = \frac{122}{2}$

$x = 61^o$

4 0

2 years ago

What is the estimate of 215% of 18.

Vsevolod [243]

215% of 18
You must change 215% into a decimal by multiplying by 100 which is 2.15
Then you multiply them
2.15×18=38.7
Then you estimate to the nearest whole number
38.7⇒39
You answer is 38.7
Your answer is 39 estimated

5 0

3 years ago

Read 2 more answers

Line segment SU is dilated to create S'U' using the dilation rule DQ,2.5. What is the distance, x, between points U' and U?

hodyreva [135]

Answer:

The answer is 6 units! Have a nice day! :D

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Need help ASAP please and thank you