<span>8d – 4d – 6d – 8 = 2d
</span><span>8d – 4d – 6d – 2d = 8
-4d = 8
d = -2</span>
Answer:
The coordinates of the intersection of the medians of △ABC is (1/3, 1).
Step-by-step explanation:
Consider the vertices of △ABC are A(2, 4), B(−4, 0), and C(3, −1).
Intersection of the medians of a triangle is known as centroid.
Formula for centroid of a triangle is
Using the above formula the centroid of △ABC is
Therefore the coordinates of the intersection of the medians of △ABC is (1/3, 1).
Answer:
-2x³ - 2y² + z⁴
Step-by-step explanation:
Step 1: Write out expression
x³ - 2y² - 3x³ + z⁴
Step 2: Combine like terms (x³)
-2x³ - 2y² + z⁴
f(x)=((x-4)(x+3))/(x+3)
simpify
f(x)=x-4
see we eliminated x+3?
That is a hole
find the value of that hole
x+3=0
x=-3
input into simplified function
f(-3)=-3-4
f(-3)=-7
the hole (discontinuity) is at (-3,-7)
f(x)=x-4
where does it cross x axis?
0=x-4
4=x
xint is x=4 or (4,0)
yint is where x=0
f(0)=0-4=-4
yint is (0,-4)
basically
it is a line, f(x)=x-4 with a hole at
(-3,7)
with xint at (4,0) and yint at (0,-4)
Answer:
3 eggs
Step-by-step explanation:
Let the total number of eggs that the woman brought to the market be represented by x
A lady came to the market to sell eggs.
The first customer bought 1/2 of all her eggs and 1/2 of an egg.
x - (1/2x + 1/2) = y
= 1/2x - 1/2= y
y = Amount of eggs left after the first customer left
Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg.
At this point she had sold all her eggs.
Hence:
y - (1/2y + 1/2) = 0
y - 1/2y - 1/2
Solving for y
y - 1/2y = 1/2
1/2y = 1/2
y/2 = 1/2
Cross Multiply
2y = 2
y = 1
Solving for x
(1/2x - 1/2) = y
y = 1
1/2x - 1/2 = 1
1/2x = 1 + 1/2
x/2 = 3/2
Cross Multiply
2x = 2 × 3
2x = 6
x = 6/2
x => 3 eggs
