Answer:
Perpendicular
Step-by-step explanation:
2x - y = -7
2x + 4y = 2
-y = -2x - 7
4y = -2x + 2
y = 2x + 7
y = -1/2x + 1/2
Cannot be:
Parallel because the slope would otherwise be the same.
Same line because the equation is not proportional
So, they are perpendicular because a perpendicular line would be a negative and a reciprocal of the current line
Given:
The expression is:
To find:
The integration of the given expression.
Solution:
We need to find the integration of .
Let us consider,
![[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]](https://tex.z-dn.net/?f=%5B%5Cbecause%201%2B%5Ccos%202x%3D2%5Ccos%5E2x%2C1-%5Ccos%202x%3D2%5Csin%5E2x%5D)
![\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Ctan%20%5Ctheta%20%3D%5Cdfrac%7B%5Csin%20%5Ctheta%7D%7B%5Ccos%20%5Ctheta%7D%5Cright%5D)
It can be written as:
![[\because 1+\tan^2 \theta =\sec^2 \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%201%2B%5Ctan%5E2%20%5Ctheta%20%3D%5Csec%5E2%20%5Ctheta%5D)
Therefore, the integration of is .
Answer:
2) 160
3) 320
Step-by-step explanation:
you want to find out the slope so use the formula
y₂-y₁/ x₂-x₁ and plug in the numbers
320-80=240
4-1=3
divide 240/3= 80
multiply 80 * (x) so if we try and find x=2 it would be 160
80 * 3 = 240
check your work by multiplying 80 and 4 (320) which is your y value! hope this helps!
This expression has four terms.
5, 9x, 7, and 2x
A term is a constant number, a variable, or a variable with a coefficient.
Answer: 3H+4C<_ 30
The coefficients of the variables H and C represent the number of batteries each toy helicopter and each toy car uses.
Step-by-step explanation:
Each toy helicopter uses 3 batteries, and each toy car uses 4 batteries.
Now let's check whether Vugar has enough batteries for 5 toy helicopters and 4 toy cars. To do this, we substitute H=5 and C= 4 in the given inequality:
Does Vugar have enough batteries to play with 5 toy helicopters and 4 toy cars?
No, because if you plug in the value for H and C:
3H + 4C<_ 30
3(5) + 4(4) <_30
15 + 16 <_ 30
31 <_ 30; false
Since the inequality is false, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.
Each toy helicopter uses 333 batteries, and each toy car uses 444 batteries.
No, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.
