Step 1: Simplify both sides of the equation.<span><span><span>x2</span>−7</span>=9</span><span>Simplify: (Show steps)</span><span><span><span><span>12</span>x</span>−7</span>=9</span>Step 2: Add 7 to both sides.<span><span><span><span><span>12</span>x</span>−7</span>+7</span>=<span>9+7</span></span><span><span><span>12</span>x</span>=16</span>Step 3: Multiply both sides by 2.<span><span>2*<span>(<span><span>12</span>x</span>)</span></span>=<span><span>(2)</span>*<span>(16)</span></span></span><span>x=32</span><span>
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Answer:
- K'(4, -4)
- L'(8, -4)
- M'(8, 8)
- N'(4, 8)
Step-by-step explanation:
Dilation centered at the origin multiplies every coordinate value by the scale factor.
K(1, -1) ⇒ K' = 4(1, -1) = (4, -4)
L(2, -1) ⇒ L' = 4(2, -1) = (8, -4)
M(2, 2) ⇒ M' = 4(2, 2) = (8, 8)
N(1, 2) ⇒ N' = 4(1, 2) = (4, 8)
The equation of a circle:
(h, k) - center
r - radius
Look at the picture:
center: (4, -2) → h = 4, k = -2
radius: r= 5
Substitute:
1 to 4
150mm is the same as 15cm
15cm:60cm
both divisible by 15
1cm:4cm
1 to 4
Answer: $222.73
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Work Shown:
x = pre-GST price
10% of x = 0.10x = tax amount
x + 0.10x = 1.10x = post-GST price = 245
1.10x = 245
x = 245/1.10
x = 222.7272 approximately
x = 222.73 is the price before tax.
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Check:
10% of 222.73 = 0.10*222.73 = 22.273 = 22.27
The tax amount ($22.27) is added to the pre-GST price to get
22.27+222.73 = 245
which matches the post-GST price mentioned.
The answer is confirmed.
Or another way to confirm the answer is to calculate this
1.10*222.73 = 245.003 = 245
