Answer:
385 kilometers
Step-by-step explanation:
Divide 374 by 34 to get the unit price
Then multiply the unit price by 35
Answer:
x = ±2
Step-by-step explanation:
A equation is given to us , which is ,
![\longrightarrow 2log_5(x) = log_5 4](https://tex.z-dn.net/?f=%5Clongrightarrow%202log_5%28x%29%20%3D%20log_5%204%20)
From <u>properties </u><u>of </u><u>logarithm </u>we know that ,
![\longrightarrow alog\ m = log \ m^a](https://tex.z-dn.net/?f=%5Clongrightarrow%20alog%5C%20m%20%3D%20log%20%5C%20m%5Ea%20)
Applying this to LHS , we have ;
![\longrightarrow log_5 x^2 = log_5 4](https://tex.z-dn.net/?f=%5Clongrightarrow%20log_5%20x%5E2%20%3D%20log_5%204%20)
Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;
![\longrightarrow x^2 = 4](https://tex.z-dn.net/?f=%5Clongrightarrow%20x%5E2%20%3D%204%20)
Put square root on both sides,
![\longrightarrow x =\sqrt{4}](https://tex.z-dn.net/?f=%5Clongrightarrow%20x%20%3D%5Csqrt%7B4%7D)
Simplify ,
![\longrightarrow \underline{\underline{ x =\pm 2 }}](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Cunderline%7B%5Cunderline%7B%20x%20%3D%5Cpm%202%20%7D%7D)
This is the required answer.
Answer:
Step-by-step explanation:
Answer:
in the ordered pair; ( x = 27/4 , y = 1/4 )
Step-by-step explanation:
Given that:
The system of the equation shown below is:
-2x - 14y = 10
2x + 2y = 14
We are to use the elimination method to determine the ordered pair.
From the above equation:
-2x - 14y = 10 --- (1)
2x + 2y = 14 --- (2)
Add both equation 1 and 2 together in order to eliminate x, then we can solve for y first.
-2x - 14y = 10
<u> 2x + 2y = 14 </u>
<u> 0 - 16y = -4 </u>
<u />
- 16 y = - 4
divide both sides by - 16, Then:
-16y /-16 = -4/-16
y = 1/4
Since y = 1/4, Then from equation (2), x will be :
2x + 2y = 14
2x + 2(1/4) = 14
2x + 1/2 = 14
2x = 14 - 1/2
2x = 13.5
x = 13.5/2
x = 27/4
Thus, in the ordered pair; ( x = 27/4 , y = 1/4 )