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3 years ago

Give me explain Associative property of addition??

1 answer:

7 0

Associative property of addition states: a + (b + c) = (a + b) + c

Don't get confused with the commutative property which states: a + b = b + a

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A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha

morpeh [17]

Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

$x^2 +(x+7)^2=(x+9)^2\\\\$

Expand the terms in brackets

$x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81$

collect like terms

$x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0$

solve for x in the quadratic equation by factorization

$x^2-4x-32=0\\\\\\x^2-8x+4x-32=0\\\\\\x(x-8)+4(x-8)=0\\\\\\(x+4)(x-8)=0\\\\\\x+4=0,x=-4\\\\x-8=0,x=8$

Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

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3 years ago

Find the slope of the line passing through the points (1, -4) and (3, -1)

Olin [163]

E 3/2. I graphed it:).

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2 years ago

A bakery uses 300 pounds of flour to make 120 wedding cakes of the same size. At this rate how many pounds of flour are needed t

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3 years ago

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What are the meaning of these two in geometry Postulate Theorem

ElenaW [278]

$\large{\underline{\mathtt{\red{a}\pink{n}\green{s}\blue{w}\red{e}\purple{r}}}}$

Postulate:- In geometry postulate is a statement that is assumed or claimed as true. It cannot be proven.

Theorem:- In geometry a theorem is a rule or principle thag can be proven true.

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2 years ago

In the equation Y+2/y+1 + 2y^2-y+3/y^2-1 = y-2/y-1 the value of a is: a)2 b)1 c)4

Valentin [98]

Answer:

Step-by-step explanation:

hope that helped

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