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VMariaS [17]
3 years ago
11

Part C

Mathematics
1 answer:
charle [14.2K]3 years ago
8 0

Answer:

(x,y+7)

Step-by-step explanation:

A translation means you are moving the image a certain amount of units, in this case, 7 units up. Since x values are all horizontal x does not change, but all y values will be 7 units higher.

For example (1,2) becomes (1,9).

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What is the value of y in the sequence below?<br> 2,y,18, -54,162,
snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

  • 2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

\displaystyle \large{ \frac{ - 54}{18}  = - 3 } \\  \displaystyle \large{ \frac{ 162}{ - 54}  = - 3}

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

\displaystyle \large{ a_{n + 1} = y } \\  \displaystyle \large{ a_n = 2 } \\  \displaystyle \large{ r =  - 3 }

From the:

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

Substitute the values in.

\displaystyle \large{ \frac{y}{2}  =  - 3}

Multiply the whole equation by 2 to isolate y.

\displaystyle \large{ \frac{y}{2} \times 2  =  - 3 \times 2} \\  \displaystyle \large{ y =  - 6}

Therefore, the value of y is -6.

7 0
2 years ago
Find the perimeter and area
Nitella [24]

Answer:

Step-by-step explanation:  Perimeter is distance around the outside so 8+8+5+5=26 units

Area - I'll get  back with you

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Daniel is 14 years old
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Simplify the expression.<br> 2u + 8u - 5u
MAXImum [283]

Answer:

= 5u

Step-by-step explanation:

You combine like terms

( 2u+ 8u = 10u )

( -5u + 10 u =5u)

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3 years ago
Ann buys a dress in a sale. The normal price of the dress is reduced by 20%. The normal price is £36.80. Work out the sale price
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The new price is 29.44
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