You didnt include the (presumably) multiple choice answers. My guess is that the answer would be along the lines of: 20 - (P times .40)
Let's simplify step-by-step.<span><span><span>9<span>(<span><span>2x</span>−1</span>)</span></span>−<span>9x</span></span>−<span>18
</span></span>Distribute:<span>=<span><span><span><span><span><span><span>(9)</span><span>(<span>2x</span>)</span></span>+<span><span>(9)</span><span>(<span>−1</span>)</span></span></span>+</span>−<span>9x</span></span>+</span>−18</span></span><span>=<span><span><span><span><span><span><span>18x</span>+</span>−9</span>+</span>−<span>9x</span></span>+</span>−<span>18
</span></span></span>Combine Like Terms:<span>=<span><span><span><span>18x</span>+<span>−9</span></span>+<span>−<span>9x</span></span></span>+<span>−18</span></span></span><span>=<span><span>(<span><span>18x</span>+<span>−<span>9x</span></span></span>)</span>+<span>(<span><span>−9</span>+<span>−18</span></span>)</span></span></span><span>=<span><span>9x</span>+<span>−<span>27
</span></span></span></span>Answer:<span>=<span><span>9x</span>−<span>27</span></span></span>
Answer:
The value of π = 22/7 = 3.14
So here the Equation given we can examine those
1. 3π -1 > 9
=> (3 * 3.14 ) -1 > 9
=> 9.42 – 1 > 9
=> 8.42 > 9 , which is false
2. 7π > 21
=> (7 * 3.14) > 21
=> 21.98 > 21 , Which is true
3. π + 4 < 7
=> 3.14 + 4 <7
=> 7.14 <7 , Which is false
4. (12/ 4π) > 1
=> {12/ (4 * 3.14)} > 1
=> (12/12.56) > 1
=> 0.955 > 1 , Which is false
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Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
= ( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
Answer:
Step-by-step explanation:
To write an equation for a circle, we need to find the center and the radius. We need to find the distance between the two endpoints to find the radius. To do that, use the distance formula:
d = √(2 - 5)² + (1 + 3)²
√(-3)² + (4)²
√9 + 16 = √25 = 5
If the diameter is 5, the radius is 2.5
Now we need to find the center/midpoint. Use the midpoint formula:
(5 + 2)/2, (-3 + 1)/2
7/2, -2/2
(3.5, -1)
Now that we have the center and the radius, we can make our equation. Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²
(x - 3.5)² + (y + 1)² = 6.25
Hope this helps