Answer:
The sides are 30 ft, 40 ft and 50 ft.
Step-by-step explanation:
The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.
Using Pythagoras theorem the length of the sides can be found.
a² + b² = c²
(x - 4)² + (x + 6)² = (2x - 18)²
(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)
x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324
2x² - 8x + 12x + 16 + 36 = 4x² - 72x + 324
2x² + 4x + 52 = 4x² - 72x + 324
2x² - 4x² + 4x + 72x + 52 - 324 = 0
-2x² + 76x - 272 = 0
2x² - 76x + 272 = 0
divide through by 2
x² - 38x + 136 = 0
find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.
x² - 4x - 34x + 136 = 0
x(x - 4) - 34(x - 4) = 0
(x - 4)(x - 34 ) = 0
x = 4 or 34
we can only use 34 since using 4 will result to negative number.
x - 4 = 34 - 4 = 30 ft
x + 6 = 34 + 6 = 40 ft
2x - 18 = 68 - 18 = 50 ft
Answer:
Step-by-step explanation:
Solve the given 3x + 5y = 2 for y. This will automatically indicate the slope of the line.
Subtracting 3x from both sides of this equation, we get:
5y = -3x = -3x + 2.
Dividing both sides by 5 yields y = (-3/5)x + 2/5.
The slope of the given line is -3/5. The y-intercept of this line is (0, 2/5).
Next time, please share the answer choicess. Thank you.
The answer is Triangle PQR
Answer:
Step-by-step explanation:
So,it would be easier to simplify the right equation, so when I say "the right equation", I mean the one I will make right now. It is 8x+9. So the first problem is 8x+9=x+?. Well, if there are no solutions, the slopes have to be the same, and the y-int doesn't matter. So the answer would be + 7x because that will make the x an 8x. If there is one solution, then the slope has to be different. So literally anything but 7x will work. Even constants. If there are infinitely many solutions, then the equations have to be the same. Meaning, you would have to add 7x and 9 to make the left equation the same as the right.
Let n be a number of friends at the perty. If <span>dinner costs $30 per person, then it cost $30n for all friends.
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Robert has booked a banquet hall which costs <span>$200, then his total expenses are $200+30n.
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If the final bill is p, then p=<span>200+30n.
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Answer: p=<span>200+30n.</span>
