So you will need to solve for x and y before evaluating 2x+y....
2x-y=9, y=2x-9 now this will make 4x^2-y^2=171 become:
4x^2-(2x-9)^2=171
4x^2-(4x^2-36x+81)=171
36x-81=171
36x=252
x=7, now we can use 2x-y=9 to solve for y...
2(7)-y=9
14-y=9
-y=-5
y=5
now we know that x=7 and y=5, 2x+y becomes:
2(7)+5
14+5
19
Answer:
Step-by-step explanation:
7x 14x the answer is 6x
If you want to find the length of other leg (AB) you can use Pythagoras
![\sqrt{8 {}^{2} - 4^{2} } \\ = \sqrt{64 - 16} \\ = \sqrt{48} \\ = 4 \sqrt{3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B8%20%7B%7D%5E%7B2%7D%20-%204%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B64%20-%2016%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B48%7D%20%20%5C%5C%20%20%3D%204%20%5Csqrt%7B3%7D%20)
So, the length of other leg is 4√3 cm.
The acute angles are <B and <C (look at my drawing)
sin <B = 8/4= 1/2
<B = 30°
<C = 180°-(30+90)
= 60°
Hope this help!
Answer:
1.70
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 4.25 × 60/100
Discount = 4.25 x 0.6
You save = $2.55
Final Price = Original Price - Discount
Final Price = 4.25 - 2.55
Final Price = $1.70
The expected profit for the gambler is $4,621
<h3>How to get the expected profit?</h3>
The possible outcomes are:
- Winning $6,500, with a probability of 0.81
- Winning $200, with a probability of 0.08
- Lossing $6,000, with a probability of 0.11
Then the expected profit is:
P = ($6,500*0.81 + $200*0.08 - $6,000*0.11) = $4,621
The expected profit for the gambler is $4,621
If you want to learn more about expected values:
brainly.com/question/15858152
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