Mary and Jim have tickets to a concert. Mary's ticket number is one less than Jim's ticket number. The product of their numbers is 812. What are the two numbers?
2 answers:
Mary - M <span>Jim - J </span> <span>Mary's ticket number is one less than Jim's ticket number. </span> <span>J - 1 = M </span> <span>The product of their numbers is 812 </span> <span>M * J = 812 </span> <span>plus first equation into 2nd </span> <span>(J - 1) J = 812 </span> <span>J^2 - J - 812 = 0 </span> <span>(J - 29) (J + 28) = 0 </span> <span>J = 29 or -28, 29 cuz you can't have negative for question. </span> <span>J = 29 </span> <span>plus 29 in first equation, </span> <span>29 - 1 = M </span> <span>28 = M </span> <span>Mary's ticket number is 28 and Jim is 29</span>
X+ (x-1)=812 x+x-1=812 2x-1=812 2x-1+1=812+1 2x=813 (2x/2)=(813/2) x= 406.5 One ticket number has to be 406.5, and the other has to be 405.5
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Answer:
Step-by-step explanation:
a² - b² = (a +b)(a - b)
9x² - 4 = (3x)² - 2²
= (3x + 2 )(3x - 2)
This seems like a right triangle problem.
So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem ( ) to solve for the height of the house, in which we shall name it x.
So, the equation is .
Solve for x:
16+x^{2}= 196
x^{2}= 196-16
x^{2}= 180
x = 6√5 feet
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