|x|=absoulte value of x which means whatever x is, make it positive
so first solve any division/multiplication
the only one is 12/46=6/23
so we do the absoulte value signs
-3+45-(-14)
-(-14)=+14
-3+45+14=56
absoulute value of 56=56
56+(-|-87+6/23|)
-87+6/23=-86 and 17/23
absoulte value of -86 and 17/23=86 and 17/23
there is a negative sign in front of the absoulte vaulue so make it negative
56-86 and 17/23=-30 and 17/23 or about -30.73913
3(6)+8=26
I think 26 is the answer
Answer:
PST=80
Step-by-step explanation:
So we know that angle R=130 and because this is a parallelogram we can assume angle SPQ also equals 130 and knowing that we can find that angle RQP and RSP are equal both equal to 50 and since we know that RSP=50 we know SPT is also 50 because of alternate angles. SPT is an equilateral triangle so we also know that angle T is 50 degrees. All triangles degrees equal 180 so we can set up the problem the angle SPT(50) + the angle STP(50) + The angle PST(x) = 180 50+50=100 so it is 100+x=180 -100 PST(x)=80
i) 1/2
ii) if by between 13 and 19 it means 14,15,16,17, and 18 it is 5/12
iii) 3/12
iv) 0/12
V) 3/12
Answer:
see explanation
Step-by-step explanation:
To factorise the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the x- term
product = 6 × - 4 = - 24 and sum = - 5
The factors are + 3 and - 8
Use these factors to split the x- term
6x² + 3x - 8x - 4 = 0 ( factor the first/second and third/fourth terms )
3x(2x + 1) - 4(2x + 1) = 0 ← factor out (2x + 1)
(2x + 1)(3x - 4) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - 
3x - 4 = 0 ⇒ 3x = 4 ⇒ x = 
Solutions are x = - , x =
