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3 years ago

Are these congruent or not:

Mathematics

2 answers:

stira [4]3 years ago

8 0

Yes they are because they are exactly the same shape and size.

SOVA2 [1]3 years ago

3 0

No you don't know if the hypotenuse or the other leg are congruent

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Add and Subtract Rational Expressions with a Common Denominator

Sladkaya [172]

Answer:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}$

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}$

Operating on the numerators:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}$

Removing parentheses:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}$

Simplifying:

$\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}$

The expression cannot be further simplified.

7 0

3 years ago

A scientist who studies sleep has developed a new technique to help people sleep each night. He

Andru [333]

Considering the situation described, the scientist's null and alternative hypothesis are described by:

Null hypothesis $H_0: \mu = 0$ ; Alternative hypothesis $H_1: \mu \neq 0$ .

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by $\mu$ is of 0, hence:

$H_0: \mu = 0$

At the alternative hypothesis, it is tested if there is a difference, hence:

$H_1: \mu \neq 0$

More can be learned about an hypothesis test at brainly.com/question/26454209

7 0

2 years ago

How many solutions does this linear system have?<br> Y=-1/2x +4x+2y=-8

Vadim26 [7]

Answer: theres no solution

7 0

3 years ago

In the video at the beginning of the lesson, how many 2-topping pizza combinations were there if there were 7 toppings to choose

elena-s [515]

Answer:

3 or 3 and 1/2

Step-by-step explanation:

2 toppings per pizza

2, 4, 6 and the half pizza with one topping

8 0

3 years ago

Read 2 more answers

* 14 * x=2 * 28 . What x equal ?

AlladinOne [14]

Answer:

answer is 4

Step-by-step explanation:

look at picture

3 0

3 years ago

Read 2 more answers