<span>A = l x w
Since
l = 3w
Substitute the l with 3w
The formula will be
A = 3w + w
A = 4w
An example:
The
given known values are: Length of 4 cm Width is unknown Perimeter is 34
cm Find the dimensions of the rectangle. Since the geometric formula
for perimeter is: </span>
P= 2 (l + w)
L = 2w – 4 cm
W =?
Derivation and solution:
34 = 2 (2w - 4) + 2w <span>
34 = 4w – 8 + 2w</span>
42 = 6w 42/6 = w
W = 7 cm
34 = 2l + 2(7)
34 = 2l + 14
2l = 34 – 14
2l = 20
L = 20/2
L = 10 cm<span> <span>
</span></span>
In polynomials, when a term contains both a number and a variable part, the number is called the co-efficient.
In this problem the co-efficient of x =
(8+y)+(3x+y2)
3y+3x+8
Therefore the co efficient of x and y is 3
Answer:
Step-by-step explanation:
Let's write the left hand side as a negative power, and 9 as a power of 3:
At this point, for the equality to still stand, the exponents have to be equal:
Answer:
4 units
Step-by-step explanation:
X coordinate never changed so you just need to subtract 2 from 8 to see the unit difference.
9514 1404 393
Answer:
(-2, 2)
Step-by-step explanation:
The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.
Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...
x = -2
__
Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...
y -(-1) +(1)(x -(-5))
y = x +4 . . . . . . . . subtract 1 and simplify
The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...
y = (-2) +4 = 2
The orthocenter is (x, y) = (-2, 2).
