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)
Answer:
29.5 square inches
Step-by-step explanation:
Let's divide the shape into 3 parts to make it easy for us to find the area.
- a wide triangle
- a triangle
- a shorter rectangle
For the wider rectangle, the area is;
A1 = 8 × 2 = 16 in²
For the triangle, the area is;
A2 = ½(7 - 2) × 3
A2 = 7.5 in²
For the shorter rectangle, the area is;
A3 = 3 × 2
A3 = 6 in²
Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches
2 x 6.25
is equal to 12.5 in multiplication
Answer: since the parent function is f(x), then i think....
f(x) + 5 is the shifted 5 units up of f(x)
then the first answer is correct
f(x - 8) is 8 shifted 8 units right of f(x)
then the second answer is wrong,
f(x) is replaced by 4f(x) means it stretched vertically by a factor of 4
the the third answer is correct
f(x) is replaced with f(3x) compressed horizontally by a scale factor of 1/3
then the fourth answer is correct
Step-by-step explanation: i hope this makes since and sorry if it doesn't so the first is correct, second is wrong, third is correct, and fourth is also correct. and no there well be no links. (sorry if you do want links)
and maybe a brainliest
Answer:
Point C
Step-by-step explanation:
because the number is 0.3 you need to start at zero on the number line and go forward 3 marks. That will lead you to your answer of 0.3
