8.2c−0.9+(5.4−18d+7.2c)÷0.06 Distribute:<span> =<span><span><span><span><span><span><span>8.2c</span>+</span>−0.9</span>+<span>120c</span></span>+</span>−<span>300d</span></span>+<span>90
</span></span></span> <span>=<span><span><span>(<span><span>8.2c</span>+<span>120c</span></span>)</span>+<span>(<span>−<span>300d</span></span>)</span></span>+<span>(<span><span>−0.9</span>+90</span>)</span></span></span><span> =<span><span><span>128.2c</span>+<span>−<span>300d</span></span></span>+89.1</span></span> Answer:<span>=<span><span><span>128.2c</span>−<span>300d</span></span>+<span>89.1</span></span></span>
You need to solve the following equation:
-0.5x^2 +36x -161 = 451
Set right side to 0
-0.5x^2 +36x -612 = 0
Multiply by -2 to get rid of decimal and leading neg coefficient.
x^2 -72x + 1224 = 0
Use quadratic formula:
a = 1, b = -72, c = 1224
Therefore the min price to have 451 profit is $27.51
Answer:
Step-by-step explanation:
The blank space in the task content should be filled with; a 270° rotation about point P.
<h3>What transformation is first to effect the image formation?</h3>
It follows from the transformation described in the task content that; Triangle KLM from which triangle K'L'M' is rotated 270 degrees about point P and then translated down and to the right.
It therefore follows from observation. that the first transformation is; a 270° rotation about point P.
Read more on transformation;
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Answer:
x = 2
Step-By-Step Explanation:
It is really easy to see that the angle on the left side is almost equal to 90° (Right Angle) but is a bit less.
35 × 1 + 3 = 38 F It is too less than 90°
35 × 2 + 3 = 73 T It is closer and less than 90°
35 × 3 + 3 = 108 F It is close but more than 90°
35 × 4 + 3 = 143 F It is too much more than 90°
So,
x = 2
Double Checking
(180° - (35° × 2 + 3)) + (2 + 39°) + (3 + 30°)
= (180° - 73°) + 41° + 32°
= 107° + 41° + 32°
= 180°
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