![Hardeep8560](/avatars/17945.jpg)
Hardeep8560
22.06.2019 •
Mathematics
2. write an equation in which the quadratic expression 2x^2-2x-12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.
Solved
Show answers
More tips
- D Dating, Love, Relationships How Long Can Love Last?...
- S Science and Technology How to Make a Homemade Smoker: The Ultimate Guide...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics It harden corporation engaged in the following transaction. assume that the harden corporation uses the indirect method to depict cash flows. indicate where, if at all,...
- M Mathematics The rotor of an electric motor has rotational inertia im = 7.17 x 10-3 kg·m2 about its central axis. the motor is used to change the orientation of the space probe in...
- M Mathematics Which statement is true? function fprintf is equivalent to printf. function fprintf is equivalent to printf except that fprintf also receives as an argument a file pointer...
- M Mathematics Ireally need with this, i got 13.7 yards as the altitude by using the law of cosines and i found the area of the triangle by using the formula 1/2(side)(side)cos...
- M Mathematics Which expression is equivalent to the expression below? ( 3a + 7 ) + 9( 5- a ) a. -6a+52 b. 2a + 52 c. 12a + 52 d. 6a - 52...
- M Mathematics Nown value. 10. 3 = 1.25 1 value...
- M Mathematics 7) one digit from the number 8,969,119 is written on each of seven cards. what is the probability of drawing a card that shows 8, 9, or 6?...
- M Mathematics How do you calculate the balance in an account, with interest?...
- M Mathematics In parallelogram abcd, diagonals ac and bd intersect at point e, ae = 3x - 5, and ce = x + 11. what is bd?...
- M Mathematics To do a job alone, it would take dan 6 hours, fran 2 hours, and stan 3 hours. how long would it take to do the job if they all worked together? show process ....
Ответ:
step-by-step explanation:
equation
you are asked to write the equation
expression = 0
using the given expression. when you do that, you have
2x^2-2x-12 = 0
factoring
you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.
2(x^2 -x -6) = 0
if you multiply the binomials (x+a)(x+b), you get
(x +a)(x +b) = x^2 +(a+b)x +ab
this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.
-6 = -1×6 = -2×3 = -3×2 = -6×1
the factor pair that sums to -1 is {-3, 2}, so our factorization is
2(x -3)(x +2) = 0
solutions
the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means
x - 3 = 0
x = 3 . . . add 3 to both sides of the equation
or
x +2 = 0
x = -2 . . . add -2 to both sides of the equation
the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.
Ответ:
The sum of angles in ΔABD is ...
2a + b + d = 180
The sum of angles in ΔAHG is ...
a + h + 90 = 180
Solving this second equation for a, we have ...
a = 180 -90 -h = 90 -h
Substituting this into the first equation, we have ...
2(90 -h) +b +d = 180
180 -2h +b +d = 180 . . . . . eliminate parentheses
b + d = 2h . . . . . . . . . . . . . add 2h-180
h = (1/2)(b+d) . . . . . . . . . . divide by 2