Answer:
Option A
x=6 , y=9
Step-by-step explanation:
As we can see in the figure that point T is the mid point of rectangle and there are two diagonals QS and PR
So in basic geometry we know that the length of the diagonal from the mid point i.e. Taking the diagonal QS the length of QT and TS would be equal because they are same diagonal which is cut into two parts by point T
Similarly the Length of RT and the length of TP would be same
From all this we deduct that
3x = 2y ..................(i)
and
y + 3 = 2x ................(ii)
From equation (i)
3x = 2y
Dividing both sides by 3 the equation becomes
x= 
....................(iii)
Putting this value in equation (ii)
y + 3 = 2()
y+3 =
multiplying both sides by 3
3(y+3)=
the equation becomes
3y+9=4y
subtracting 3y from both sides
3y-3y+9=4y-3y
y=9
Putting the value of y in equation (iii)
x= 
solving it
x= 
x=6
so x=6 and y=9 is answer which is option A
Answer:
g(2a) = 16a^2 - 6a + 2
Step-by-step explanation:
Replace every occurrence of x in g(x) = 4x^2 – 3x + 2 with (2a); it's best to use parentheses here.
Then g(2a) = 4(2a)^2 - 3(2a) + 2
= 4(4a^2) - 6a + 2
= 16a^2 - 6a + 2 (answer)
Answer:
Step-by-step explanation:
69
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
Surface area of larger solid is = 25 square feet.
Step-by-step explanation:
Given that,
Volume of smaller solid = 8 cubic feet
Volume of larger solid = 125 cubic feet
We know that,
Volume is the function of cube of dimensions.
and area is the function of square of dimensions.
So,
8 = 2³
125 = 5³
Ratio of sides = 2 : 5
Ratio of surface area = 4:x (let surface area of larger solid x)
So,
x = 25 sq ft
surface area of the larger solid = 25 sq ft
That's the final answer.
