They are simple linear equations with one unknown, lets tackle them, one step at the time solving for the unknown:
4x - 2(x - 5) = x + 13
4x - 2x + 10 = x + 13
2x + 10 = x + 13
2x - x = 13 - 10
x = 3
that is the solution.
3(6 - x) - 4 = 5x + 2(7x + 3)
18 - 3x - 4 = 5x + 14x + 6
14 - 3x = 19x + 6
14 - 6 = 19x + 3x
8 = 22x
x = 8/22 = 4/11
Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are 
is
Putting and , we get
Now,
and 
and 
and 
, so it is an obtuse angle and 
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
Answer:
Step-by-step explanation: the thing is that if kelvin walks 5km south and then 8 km east the displacement is that he won’t really make it to the east.
Answer:
49pi, or 153.93
Step-by-step explanation:
pi*r^2=Area
14/2=7=r
r^2=7^2=49
Answer:49pi or 153.93
Plz give brainliest as you said you would!
6- ounce packet rate = $0.72 .
In order to find the one ounce rate, we need to divide $0.72 by 6.
On dividing 0.72 by 6, we get $0.12.
<em>Therefore, first unit rate is $0.12 per ounce.</em>
3- ounces packet rate = $0.27.
In order to find the one ounce rate, we need to divide $0.27 by 3.
On dividing 0.27 by 3, we get $0.09.
<em>Therefore, second unit rate is $0.09 per ounce.</em>
<h3>So, we can say that each pair of rates is not equivalent. </h3>
