Answer:
64 in² (Answer B)
Step-by-step explanation:
Note that this rhombus is made up of a large upper triangle and a large lower triangle. Each of these two triangles has base 2(8 in) (or 16 in) and height 4 in.
The area-of-a-triangle formula is
A = (1/2)(base)(height), which here is
A = (1/2)(16 in)(4 in) = 32 in².
Now double that, because we have an upper triangle of area 32 in² and a lower triangle of the same area 32 in². So the total area of the rhombus is 64 in²
The resultant graph is shown in the attached image.
Explanation:Before we begin, remember that when we multiply by a negative sign, we flip the sign of the inequality
The given inequality is:
-y ≤ 3x - 5
We will multiply both sides by -1 to get a positive y vale. This will give us:
y ≥ -3x + 5
Now, to graph the inequality, we will first draw the line y = -3x + 5 and then shade the region having y values greater than the line.
To know the region, you will simply use trial and error method for random points on the two sides of the line.
The final solution would be as shown in that attachment.
Hope this helps :)
Answer:




Step-by-step explanation:
The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).
The transformation rule for 90° counterclockwise rotation is

This implies that:




This is followed by a translation 3 units to the right.
This also has the rule: 




Therefore:




5/13
The x value is negative (second quadrant). 13 is the hypotenuse. So the missing side is 13^2 = (-12)^2 + y^2.
Sin theta is the opposite (5) over hypotenuse (13).
Answer:
1,6 and 6,6
Step-by-step explanation:
since they are on the same y-axis, changing the x-value shouldn't matter.