Answer:
(0,-8/3)
Step-by-step explanation:
2x-3y=8
x-3y=8
Multiply the second equation by -1 and add together
2x-3y=8
-x+3y=-8
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x +0y =0
x=0
Now we can find y
2x -3y =8
0-3y =8
Divide by -3
-3y/-3 = 8/-3
y = -8/3
(0,-8/3)
One shaded triangle has a base of 4.5 ft and a height of 9 ft, so its area is 0.5 * 4.5 * 9 = 20.25.
There are two such triangles, so the area of the shaded region is 40.5.
Answer:
1/7 1/4
Step-by-step explanation:
......…........ ..
We can treat each distance distance traveled by the four wheelers are vectors. Their sum must be zero since the last four wheeler truck ends up where the first four wheeler truck started
d1∠1 + d2∠2 + d3∠3 + d4∠4 + d5∠5 = 0
d5∠5 = - (d1∠1 + d2∠2 + d3∠3 + d4∠4)
Since we don't know the speed of the fifth wheeler, we just add the angles and equate it to 360
20 + 30 + 0 + -40 + ∠5 = 360
∠5 = 350 or -10
The fifth wheeler must travel at an angle of -10 degrees.
Answer:
36
Step-by-step explanation:
it is given that there are total of 80 students
in German language there are 25 students
in French language there are 15 students
13 studying Spanish language
in German and French language there are 3 students
in French and Spanish language there are 4 students
in German and Spanish language there are 2 students
3 are studying all three languages
from the given bellow ven diagram
it is clear that the number of students that are not studying any languages are =80- (20+3+8+4+2+7)=36