(12x + 9y) + (-2y) - (4x - 3y)
= 12x + 9y - 2y - 4x + 3y
= 12x - 4x + 9y - 2y + 3y
= 8x + 10y
A) 8x + 10y
the value of c that makes the expression a perfect square binomial is c=4 .
<u>Step-by-step explanation:</u>
Here we have , an expression x2 + 4x + c or , 
. We need to find the value of c that makes the expression a perfect square binomial. Let's find out:
We have ,
⇒ 
⇒ 
Now , we know that 
Comparing above equation , to we get ;
⇒ { 
}
⇒ 
⇒ 
Therefore , the value of c that makes the expression a perfect square binomial is c=4 .
Answer:
Alan can buy the bike for $109.85
Step-by-step explanation:
Start with 100% and subtract the 35% discount. This results in 65%. The bike sells for 65% of $169, which is calculated as follows:
0.65($169) = $109.85
Alan can buy the bike for $109.85 under the terms of this sale.
Answer: 3.751*10^18kg
Step-by-step explanation:
δ =619.09−0.000097p....equa1 where p (the distance from the center of the earth) is measured in meters and δ is measured in kilograms per cubic meter.
Calculating the density of air at 5km above earth surface
P = 5000m + 6370000m = 6.375*10^6m
δ = 619.09 -(.000097* 6.375*10^6)
δ = 0.715kg/m^3 = density
Since Mass = density*volume...equ2
To calculate volume of air around the spherical earth at height 5km
V = (4/3 pai R^3) - (4/3pai r^3) ...equation 3 where R =6.375*10^6m, r = 6.37*10^6
Substituting R and r in equation 2 to solve for volume of air
V = 1.085*10^21 - 1.08*10^21
V = 5.25*10^18m^3
Substituting δ and V into equation 2 to solve for mass of air
M = 0.715 * (5.25*10^18)
M = 3.751*10^18kg
Answer:
C
Step-by-step explanation:
x in the first equation because you can divide every other number in that equation by 3.
