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dybincka [34]
3 years ago
12

I dont understand...please help

Mathematics
1 answer:
Deffense [45]3 years ago
6 0
PQ because it is the two points that intersect in the two lines.
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The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
8 0
3 years ago
Find the difference.<br> 19/13 - 5/13
Tpy6a [65]

Answer:

14/13

Step-by-step explanation:

19/13-5/13=14/13

Since the denominators are the same, you just do the subtraction of the nominators.

3 0
3 years ago
Read 2 more answers
A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
MArishka [77]

Answer:

Step-by-step explanation:

U= {A,B,C,D,E,F,G}

X = {A, B, C, D}

Y = {A, C, E, F}

a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}

B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}

c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}

7 0
3 years ago
Find the volume of the rectangular prism with a base area of 63 and a height of 14 feet.
gayaneshka [121]

Answer:

63 = 14

devide 14 on both sides

14/14 cancels out

63/14 = 4.5

the answer is 4.5

5 0
3 years ago
Lamar ordered some books online and spent a total of $133.each book cost $8 and he paid a total of $5 for shipping. How many boo
marta [7]

Answer:

16 books

Step-by-step explanation:

133-5=128

128/8=16

6 0
3 years ago
Read 2 more answers
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