The two equations are
P: y+z =6 and
Q: 5y +9z =1
Now to eliminate y , we have to make the coefficient of y same and with opposite sign
In equation Q , the coefficient of y is 5
So in equation P the coefficient of y should be -5
So we multiply equation P by -5
So (y + z = 6) ⋅ −5
Option second is correct
Answer:
(16x² - 72x + 85) / (4x-9)
Step-by-step explanation:
first put g(x) into h(x)
h(g(x)) = 4(x-2) - 1 = 4x - 8 - 1 = 4x - 9, then
f(h(g(x))) = (4x - 9) + (4/4x-9) = ((4x-9)(4x-9) + 4)/(4x-9) =
(16x² - 72x + 81 + 4)/(4x-9) = (16x² - 72x + 85)/(4x-9)
If you are missing parentheses around (x+4)/x, then the answer would be different.
4. Period with the digits 913 is called thousands period.
5. The digit in the ten thousand place is 1.
6. The value of 9 is hundred thousands.
Hope it will help you :)
Answer:
Step-by-step explanation:
From the given information:
Total number of students,
The choices were: Chess(C), Swimming(S), and Football(F).
Everyone liked at least one sport except 7 kids,
Chess is not an active sport; and
10 children liked Chess only,
The probability that a randomly-chosen child from this group does not like active kinds of sport is the Probability that a student plays chess only or like no kind of sport at all.
Answer:
m<B = 28°
Step-by-step explanation:
Given:
m<A = 112°
m<C = 40°
AC = 14
Required:
Find, m<B, AB and BC.
SOLUTION:
✍️m<B = 180° - (112° + 40°) (sum of ∆)
m<B = 28°
✍️Using sine rule, find AB.
Plug in the values into the equation.
Cross multiply
Divide both sides by sin(28)
(nearest tenth)
✍️Using sine rule, find BC.
Plug in the values into the equation.
Cross multiply
Divide both sides by sin(28)
(nearest tenth)