This is the concept of algebra, given a polynomial with one variable like x and y, the degree is the largest exponent of the variable;
Given the expressions;
4x^3-2y^3+5y^2-5y The polynomial has a degree of 3 (both y and x have an exponent of 3)
3y3--xy=3y^3+xy The polynomial has a degree of 3 also (y has an exponent of 3)
Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
Answer:
The correct figure is B.
Step-by-step explanation:
The statement provided is:
"If it is an equilateral triangle, then it is an isosceles triangle"
The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.
Then the contra-positive of the statement provided will be:
- Switching the hypothesis and conclusion:
If it is an isosceles triangle - It is an equilateral triangle.
- Negating both the statements:
If it is not an isosceles triangle - it is not an equilateral triangle.
Thus, the contra-positive of the statement is:
"If it is not an isosceles triangle, then it is not an equilateral triangle."
Thus, the correct figure is B.
The area of the garden is 74 square feet
<h3>How to determine the area of the garden?</h3>
The complete question is added as an attachment
From the attached figure, we have the following shapes and dimensions:
- Rectangle: 10 by 5 feet
- Trapezoid: Bases = 10 and 6; Height = 3
The rectangular area is
A1 = 10 * 5
Evaluate
A1 = 50
The area of the trapezoid is
A2 = 0.5 * Sum of parallel bases * height
This gives
A2 = 0.5 * (10 + 6) * 3
Evaluate
A2 = 24
The total area is
Total = A1 + A2
This gives
Total = 50 + 24
Evaluate
Total = 74
Hence, the area of the garden is 74 square feet
Read more about areas at:
brainly.com/question/24487155
#SPJ1
Parallel lines have the same slope.
