3x - 4y = 35
3x + 4y = 5
------------------add
6x = 40
x = 40/6 which reduces to 20/3
3x - 4y = 35
3(20/3) - 4y = 35
20 - 4y = 35
-4y = 35 - 20
-4y = 15
y = -15/4
solution is (20/3, -15/4)
Answer:
yes
Step-by-step explanation:
If the area for a circle is
, you can write it in terms of its diameter like this:
From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.
Answer:
(4,-1)
Step-by-step explanation:
You can solve this system of equations in a couple of different ways, but I'm going to use the elimination method. If you're solving a system of equations using elimination, you want to have one variable cancel out. In this case, we don't have to change anything because -3y and 3y will already cancel out if we add the two equations together. You can both add or subtract, but it's easiest to add in this case. The equation will be set up like this: 2x-3y=11
+ 7x+3y=25
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After you add them together, you should get 9x=36, which you can solve by dividing both sides by 9. Then, you'll get x=4. This is your x-coordinate. Next, you want to get your y-coordinate, so you can substitute 4 into one of the two equations for x and solve for y. This will get you -1 for y. I'd also recommend checking your answer. Hope this was helpful! :)
