Algebra 1 please help
1 answer:
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(1, ) and (1, -
)
Step-by-step explanation:
Step 1 :
The co ordinates of the given equilateral triangle are A(-2,1) and B(4,1)
The distance between these 2 points is the length of the given triangle
Distance between the 2 points is = sqrt (sq(4-(-2)) + sq(1-1)) = 6
Hence the given triangle has 3 equal side of length 6 unit.
Step 2:
The length of the other side should be 6. Let (x,y) be the co-ordinate of the point C
We have then x = 1 (because the perpendicular from C to AB bisects AB we have the point C to have the x co-ordinate as 1)
Also we have the distance between the point B(4,1) and C(1,y) to be 6 as this is an equilateral triangle
Hence = 6
=> 9 + 1 + -2 y = 6
=> -2 y - 26 = 0
=> y = 2± sqrt(4+104) / 2 = 1 ± sqrt(27)
Hence the possible co ordinates of C are (1, ) and (1, -
)
Answer:
(a) 680 km
(b) 680000 m
Step-by-step explanation:
(a) Distance run by hunter every day = 6.8 km
Total number of days under consideration = 100
So the total distance covered by the hunter =
= 680 km
The hunter ran 680 km in the last 100 days.
(b) Converting this value to meters:
1 km = 1000 m
=> 680 km = 680 * 1000 m
= 680000 m
The equivalent distance run by the hunter when converted to meters is 680000 meters.
Answer:
Greatest number of t-shirts that can be ordered is 540.
Step-by-step explanation:
Given that:
Cost of printing one shirt = $8.25
One time fee to make the silkscreen = $38
Budget for the t-shirts = $4500.00
Let,
x be the number of t-shirts
According to given statement;
8.25x + 38 ≤ 4500.00
8.25x ≤ 4500.00 - 38
8.25x ≤ 4462.00
Dividing both sides by 8.25
Hence,
Greatest number of t-shirts that can be ordered is 540.