Answer:
a. (-1, 3)
Step-by-step explanation:
The "glide" 4 units right and up is the transformation ...
(x, y) ⇒ (x+4, y+4)
The reflection across y=1 is the transformation ...
(x, y) ⇒ (x, 2-y)
Combined, you have the transformation ...
(x, y) ⇒ (x +4, 2-(y +4)) = (x +4, -2-y)
Then, ...
K(-5, -5) ⇒ K'(-5 +4, -2-(-5)) = K'(-1, 3)
Answer:
Yes it's a binomial.
Step-by-step explanation:
A polynomial is an expression with more than one term that often has variables and exponents on the variable. Since this has two terms separated by a subtraction sign with one term being a variable to the exponent of 2 then this is a polynomial. It is called a binomial. More than 2 terms are referred exclusively as a polynomial with ___ terms.
Answer:
Step-by-step explanation:
The equation Thomas wrote is:
...equation 1
Let us subtract 3x from both sides to get:
We now multiply through by 2 to get:
....equation 2
We can see that equation one and two are equivalent and hence have the same solution.
Therefore Sandra's equation is
Answer:
Length = 27cm
Width = 10cm
Step-by-step explanation:
Let the length of the rectangle be x
Let the width be y
If the length of a rectangle is 7cm more than twice the width, then;
x = 2y + 7
Since P = 2(x+y)
P = 2(2y+7+y)
P = 2(3y+7)
P = 6y+14
If the width is tripled, P = 74
74 = 6y+14
6y = 74-14
6y = 60
y = 10
Since x = 2y+ 7
x = 2(10) + 7
x= 20+7
x = 27
Hence the original dimension is 27cm by 10cm
