Answer:
x = -15
Step-by-step explanation:
x - 15 = -30
add 15 to both sides
x = -15
Answer:
42x - 21 - 9x^2
Step-by-step explanation:
basically do the area of the whole rectangle then di the area of one of the empty spaces. then subtract the value of the empty space three times because there are three empty spaces.
Answer: 1. D. IV
2. A. I
3. A. I
Step-by-step explanation: 1. You have to move the quadrilateral (the shape) 7 units to the right and down 5 units. You can see that it is in the fourth quadrant.
2. You have to flip the shape over the y-axis. It moves to the first quadrant.
3. If you rotate the shape to the right around the origin, it ends up in the first quadrant.
Answer:
16 square units.
Step-by-step explanation:
We know that any diagonal of a rhombus divides the rhombus into two equal parts having the same area.
Now. the area of Δ ABC can be calculated from the coordinates of its three vertices.
Here, A(-1,4), B(3,2) and C(-1,0) are given.
Hence, the area of Δ ABC will be
square units.
Therefore, area of the rhombus will be (8 × 2) = 16 square units. (Answer)
Note: If the three vertices of a triangle ABC are given to be (x1,y1), (x2,y2), and (x3,y3), then area of the triangle will br given by
.