I'll assume the above equation is: 9 - 7x = 7 - 4(2x+3)
* do distributive multiplication
9 - 7x = 7 - 8x - 12
*move like terms
-7x + 8x = 7 - 12 - 9
* solve for x
x = 7 - 21
x = -14
To check, substitute x by its value -14
9 - 7x = 7 - 4(2x+3)
9 - 7(-14) = 7 -4[2(-14) + 3]
9 + 98 = 7 - 4(-28 +3)
107 = 7 - 4(-25)
107 = 7 + 100
107 = 107
The student with the most accurate description of the graph that represents Kate's movement is Tim
<h3>The student with the accurate description</h3>
From the graph that represents Kate's distance per minute, we have the following highlights:
- Kate drives at an irregular speed for 2 minutes
- Then she drives at a regular speed for 4 minutes
- Then she stopped moving for the next 2 minutes
The student's description that matches the above highlights is Tim
Hence, the student with the most accurate description is Tim
Read more about distance-time graph at:
brainly.com/question/13877898
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Answer:
f = 1
Step-by-step explanation:
-f + 2 + 4f = 8 - 3f
-f + 4f + 3f = 8 - 2
6f = 6
f = 6/6
f = 1
Hope it helps!!
-5.4v+0.3v= -5.1v
Because both numbers have a common variable of 'v,' they can be combined.
this is the answer to this question - Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?
Answer:
Reasons:
The given parameters are;
Distance between the two stations = 146 miles
Location of the weather balloon from the Western station = N35°E
Location of the weather balloon from the Eastern station = N23°E
The location of the station = On the equator
Required:
The distance of the balloon from the Western station
Solution:
- The angle formed between the horizontal, and the line from the Western station
to the balloon = 90° - 35° = 55°
- The angle formed between the horizontal, and the line from the Eastern station
to the balloon = 90° + 23° = 113°
The angle at the vertex of the triangle formed by the balloon and the two stations is 180° - (55 + 113)° = 12°
By sine rule,
Distance from balloon to western station = 146/sin(12 dg) = Distance from balloon to western station/sin(113 dg)
Therefore;
Distance from balloon to western station = 146/sin(12 dg) x sin(113 dg) ~ 646.4
Step-by-step explanation:
