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3 years ago

What transformation to the linear parent function, f(x) = x, gives the function g(x) = x + 8?

Mathematics

1 answer:

NeTakaya3 years ago

5 0

Answer:

Shift 8 units up

Step-by-step explanation:

The given function is;

f(x)=x

and

g(x)=x+8

The function f(x) has its y-intercept at y=0.

The function g(x)=x+8 has its y-intercept at y=8

This implies that; the linear parent function f(x)=x is shifted up 8 units to obtain g(x)=x+8.

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Using the following picture which side is the hypotenuse?

mylen [45]

Hi!

A hypotenuse is the longest leg in a right triangle.

A right triangle is a triangle that has one 90 degree angle.

The hypotenuse is always directly across from the right angle.

In pictures, right angles are represented by a square.

Therefore, the side with the hypotenuse is side 3, because we can see that the angle between side 1 and side 2 is the right angle, and the hypotenuse would be directly across.

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For information about parts of a right triangle, see:

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Image = other parts of a right triangle:

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3 years ago

Ruth's dining room is 6 yards wide and 9 yards long. Ruth wants to install a new wood floor. It will cost $8.00 per square yard.

lara [203]

Ruth’s new floor cost $432.

The cost can be calculated as follows.

First, calculate the area of dining room. Use the formula of rectangle area (width x length)

Area = width x length

= 6 yd x 9 yd

= 54 sq yd

Second, calculate the total cost.

Cost = 54 sq yd x $ 8 per sq yd

= $ 432

Hence it cost $ 432 to install the new wood floor.

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1 year ago

Read 2 more answers

5 friends are going on a 3 kilometer hike. Each person is going to lead the group for an equal distance of their hike. How many

kykrilka [37]

Answer:

0.6 km

Step-by-step explanation:

(3 km)/(5 friends) = 0.6 km/friend

Each person should lead for 0.6 km.

6 0

3 years ago

Find the values of a and b

lisabon 2012 [21]

Answer:

a = 115, b = 71

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezium.

Using a property of trapeziums

• each lower base angle is supplementary to the upper base angle on the same side.

a = 180 - 65 = 115

b = 180 - 109 = 71

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3 years ago

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Kylie explained that (negative 4 x 9) squared will result in a difference of squares because (negative 4 x 9) squared = (negativ

JulijaS [17]

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Given information-

The expression for the given problem is,

$(-4x+9)^2$

<h3>Perfect square trinomial</h3>

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.

The perfect square trinomial can be given as,

$ax^2+bx+c$

The given expression can be solved as,

$(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81$

Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

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3 years ago