Answer:
EG = 16 and FH =22
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other
so 2a = 3b+2
and 2a+3 = 6b-1
We know have a system of equations to solve
2a = 3b+2
2a+3 = 6b-1
Subtract 3 from each side
2a+3-3 = 6b-1-3
2a = 6b -4
Now we can set the 2 equations equal ( 2a = 3b+2 and 2a = 6b -4)
3b+2 = 6b-4
Subtract 3b from each side
3b-3b+2 = 6b-3b-4
2 = 3b-4
Add 4 to each side
2+4 = 3b-4+4
6 = 3b
Divide by 3
6/3 = 3b/3
2 =b
We want to find a
2a = 3b+2
Substitute in b=2
2a = 3(2) + 2
2a = 6+2
2a =8
Divide by 2
2a/2 =8/2
a = 4
Now that we know a and b
EG = 2a + 3b+2
= 2(4) + 3(2)+2
= 8+6+2
= 16
FH = 2a+3 + 6b-1
= 2(4) +3 +6(2)-1
= 8+3+12-1
= 23-1
= 22
Answer:
B
Step-by-step explanation:
The GDP measures the market value of all goods and services produced in an economy (country or region) in a specific period of time. The GDP formula is:
GDP= Consumption (C)+ Investment (I)+ Government expenditure (G)+ (Exports - Imports) (Net exports)
Notice that if exports increase, GDP will increase too. Also, if investment increases GDP will increase. Notice that imports have a negative sign, then if they increase, GDP will decrease.
Answer:x^2 + 9x + 20
Step-by-step explanation:
You could just multiply (x+4)(x+5) and get x^2 + 9x + 20, but judging from the picture, it looks like they want you to split it into 4 rectangles
x^2 +4x+ 5x + 20 =x^2 +9x + 20, just like (x+4)(x+5)
Step 1. Combine like terms
Step 2. Subtract 7 from both sides
Step 3. Divide 6 from both sides
Final answer: x=1/6
Answer:
Market price = Rs. 6,000
Step-by-step explanation:
Given:
Cost price = R.s 4,000
Profit after discount = 20%
Discount = 20%
Find:
Market price
Computation:
Sales price = Cost price[1+Profit after discount]
Sales price = 4,000[1+20%]
Sales price = 4,800
Market price = Sales price[100/(100 - Discount)]
Market price = 4,800[100/(100 - 20%)]
Market price = Rs. 6,000
