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3 years ago

The function h is defined by h(x)=2(x-7) what is the value of h(8)

Mathematics

2 answers:

bija089 [108]3 years ago

5 0

h(x)=2x-14

h(8)=2(8)-14

16-14=2

the value of h(8) is 2

fgiga [73]3 years ago

5 0

Answer:

$h(8) = 2$

Step-by-step explanation:

We have h, that is a function of x. This means that the value of h is dependent of the value of x. h(8), for example, is the value of h when x = 8. So:

$h(x) = 2(x - 7)$

$h(8) = 2(8 - 7)$

What is inside of the parenthesis takes precedence, so we have $h(8) = 2(1) = 2$

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polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf

Tomtit [17]

Answer:

D' ..................> (-2,2)

C'' .................> (3,-1)

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B'' .................> (4,2)

Step-by-step explanation:

Before we begin, we should remember the rotation rules:

1- Rotation 90° clockwise:

Coordinates (x,y) become (y,-x)

2- Rotation 90° counter clockwise:

Coordinates (x,y) become (-y,x)

3- Rotation 180° clockwise:

Coordinates (x,y) become (-x,-y)

4- Rotation 270° counter clockwise:

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

Now, let's consider the given problem:

1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

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3 years ago

: Ruben put an empty cup underneath a leaking faucet. After 1 1 2 112 hours, Ruben had collected 1 4 14 cup of water. What is th

slamgirl [31]

Answer:

The rate is $\frac{1}{6}$ cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours equivalent 3/2 hours to fill 1/4 cup by leaking

We need to find the rate in terms of cups that can be filled by water in 1 hour.

Using unitary method:

it takes $\frac{3}{2} h$ for $\frac{1}{4}$ cup

it will take 1 h for how many cups?

$= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }= \frac{2}{4 \times 3}= \frac{2}{12}= \frac{1}{6} cups$

Hence, the rate is $\frac{1}{6}$ cups per hour

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3 years ago

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tensa zangetsu [6.8K]

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3 years ago

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lesya692 [45]

Answer:

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3 years ago

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grandymaker [24]

Answer:

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Step-by-step explanation:

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3 years ago