Answer:
d) 63 square units
Step-by-step explanation:
x = 3 units (base - b)
y = 6 units (width - w)
h = 7 units (length and height - l and h)
- Area of a rectangle: l*w
- Area of a triangle: 1/2*b*h
For the triangles:
Area of a triangle: 1/2*b*h
A = 1/2 * 3 * 7
A = 1/2 * 21
A = 10.5
*Since there are two triangles, it would be 10.5 * 2 = 21
For the rectangle:
Area of a rectangle: l*w
A = 7 * 6
A = 42
Now, we add them together:
A = 42 + 21
A = 63 square units
Therefore, the area of the parallelogram is 63 square units
Hope this helps!
Answer:
Step-by-step explanation:
Original equation
√x+6-4 = x
Isolate
√x+6 = 4+x
Raise both sides to the second power
(√x+6)2 = (4+x)2
After squaring
x+6 = x2+8x+16
Rearranged equation
x2 + 7x + 10 = 0
This equation has two rational roots:
{x1, x2}={-2, -5}
Original equation, root isolated
√x+6 = 4+x
Plug in -2 for x
√(-2)+6 = 4+(-2)
Simplify
√4 = 2
Solution checks !!
Solution is:
x = -2
Original equation, root isolated
√x+6 = 4+x
Plug in -5 for x
√(-5)+6 = 4+(-5)
Simplify
√1 = -1
Solution does not check
1 ≠ -1
There are so many types of angles, let's see what we've got here!
--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.
--(5x - 17) and y are supplementary angles.
--48 and y are same-side interior angles, which means that they are also supplementary.
Let's solve for x first.
5x - 17 = 48
5x = 65
x = 13
Now, let's solve for y.
48 + y = 180
y = 132
Hope this helps!! :)
Answer:
Step-by-step explanation:
to find the inverse, just switch x and y
so if u have these points : (-3,9) , (-2,4), (0,0), (1,1)
the inverse would be : (9,-3) , (4,-2), (0,0), (1,1)
Answer:
4√10xy/32y is the answer. (I think)
