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3 years ago

Y=3/2(x-5) horizontal Vertical

Mathematics

1 answer:

vampirchik [111]3 years ago

3 0

Hello, the answer is vertical. It also shifts down 15/2 units.

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Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes. How much propellant does e

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Answer:

Step-by-step explanation:

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3 years ago

Please need help on this

IrinaVladis [17]

The first statement is true.

The second statement is false.

The third statement is true.

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3 years ago

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Prove that a triangle with the sides a - 1 cm to root under a

vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm

Hence,

${AB}^2 = (a -1)^2$

Now We know that

$(a- b)^2 = a^2+b^2 - 2ab$

So;

${AB}^2= a^2 + 1^2 -2\times a \times1$

${AB}^2 = a^2 + 1 -2a$

Now;

${BC}^2 = (2\sqrt{a})^2= 4a$

Also;

${CA}^2 = (a + 1)^2$

Now We know that

$(a+ b)^2 = a^2+b^2 + 2ab$

${CA}^2= a^2 + 1^2 +2\times a \times1$

${CA}^2 = a^2 + 1 +2a$

${CA}^2 = AB^2 + BC^2$

[By Pythagoras theorem]

$a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a$

Hence, ${CA}^2 = AB^2 + BC^2$

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

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3 years ago

Which property is illustrated by the following statement?

kirza4 [7]

Associative property of addition

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3 years ago

Suppose you draw a card from a well-shuffled deck of 52 cards. Find each of the following odds.

garik1379 [7]

1) number of cards that aren't : number of cards that are 3
we have 48 cards that arent 3 and 4 cards that are. that means that odds are:
12:1 of not drawing 3

2) fallow same logic. its just opposite.
1:12

3) same logic. but there are only 2 black 7 cards which means that odds are:
50:2 or
25:1

4) opposite of previous.
1:25

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3 years ago

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