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marusya05 [52]
3 years ago
9

Let p and q be rational. Prove that p+q is rational

Mathematics
1 answer:
Contact [7]3 years ago
4 0

Let p and q rational numbers (what does it means?), then, p and q coul be written as

p = \frac{a}{b},a, b \in \mathbb{Z}, b \neq 0\\\\q = \frac{c}{d}, c,d \in \mathbb{Z}, d \neq 0

then,

p +q = \frac{a}{b} + \frac{c}{d} = \frac{ad +bc}{bd}

and we know that ad+bc is an integer, so, p +q is a rational number.

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PLEASE HELP me!!! can give brainliest!
salantis [7]

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

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3 years ago
I need to find x & y. plz answer i really need thisssss. only if correct :)
Leto [7]

Answer:

x=12, y= 20

Step-by-step explanation:

We can find x using the pythagorean thereom because ABD is a right triangle.(D is the point between segments with legnth 5 and 11)

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We may now find y using the pythagorean thereom because ABC is a right triangle. Right now we know x = 12

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3 years ago
What is the length of PR​
guajiro [1.7K]

Answer:

9

Step-by-step explanation:

This is because 21/7 is 3. So, you use the scale factor of 3 to divide 27/3 to get x which is 9.

3 0
3 years ago
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Answer:

Point 1: (-5.03, 0.001)

Point 2: (0, 0.333)

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Step-by-step explanation:

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4 years ago
Line segment XY is tangent to circle Z at point U. If the measure of is 84°, what is the measure of ? 42° 84° 96° 168°
Andreas93 [3]

Answer:

The measure of angle YUV is equal to m

Step-by-step explanation:

see the attached figure to better understand the problem

we have that

arc\ UV=84\° -----> given problem

so

m ------> by central angle

we know that

The triangle UZV is an isosceles triangle

because

ZU=ZV=radius

so

m -----> bases angle of the isosceles triangle

Remember that

The sum of the internal angles of a triangle is equal to 180\°

so

m

2m

substitute and solve for m<ZUV

2m

m

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solve for m<YUZ

48\°+m

m

7 0
3 years ago
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