Answer:
(0, -1)
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.
Hence for parallelogram RSTU, RS // TU and RU // ST
Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:
Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5
Slope of ST = (2 - 4) /[6 - 3] = -2/3
Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)
Slope of TU = (y - 2) /[x - 6]
Slope of RU = Slope of ST
(y - 1) / (x + 3) = -2/3
3y - 3 = -2x -6
2x + 3y = -6 + 3
2x + 3y = -3 (1)
Slope of RS = Slope of TU
0.5 = (y - 2) /[x - 6]
0.5x - 3 = y - 2
0.5x - y = 1 (2)
Solving 1 and 2 simultaneously gives:
x = 0, y = -1
Therefore the coordinates of U = (0, -1)
9/10 : 1/10 = 45,000,000 : x
x = 45000000/9 = 5,000,000
Answer: 5 million acres
Answer:
4 is the largest number that is common to both 32 and 44. Factoring it out looks like this: 4(8 + 11) = 4(8 + 11). That's weird to me but all textbooks begin that process just that same way.
Step-by-step explanation:
Answer:
42°
Step-by-step explanation:
Complementary angles are two angles that add up to 90°
1) 90-48 = 42
Hope this helps! :)
An equation for annealing soda-lime glass is y(t)=−14t+500 , where t is time in minutes and y is the temperature of the glass in ˚C.
To find the y intercept , we plug in 0 for t
y intercept is the value , where time is 0 minutes
so we plug in 0 for t and find out y(0)
y(t)=−14t+500
y(0)=−14(0)+500 = 500
When t=0 , the value of y = 500
So , y intercept is (0,500)
