Answer:
w = d - 1.25
Step-by-step explanation:
15.75 - 14.50 = 1.25
9.50 - 8.25 = 1.25
We see a pattern that "w" is 1.25 less than "d"
Therefore, "w" is d - 1.25
The equation is a + 9 = 15
Step-by-step explanation:
Let the number be 'a'
Given that,
A number plus 9 is 15
So,
a + 9 =15
a = 15 - 9
a = 6
The equation needed is,
a + 9 = 15
Answer:
f(x) = 2(x –3)²
Step-by-step explanation:
f(x) = 2x² – 12x + 18
The vertex form of the above expression can be obtained as follow:
f(x) = 2x² – 12x + 18
Factorise
f(x) = 2(x² – 6x + 9)
Next, we shall simplify x² – 6x + 9 by factorisation method.
This is illustrated below:
x² – 6x + 9
Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².
Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.
The factors are –3x and –3x
Next, replace –6x with –3x and –3x in the equation above as shown below:
x² – 6x + 9
x² – 3x –3x + 9
Factorise
x(x – 3) –3(x –3)
(x –3)(x –3)
(x –3)²
f(x) = 2x² – 12x + 18
f(x) = 2(x² – 6x + 9)
f(x) = 2(x –3)²
Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is
f(x) = 2(x –3)²
The alternate exterior angles are shown below:
Angle 2 and angle 8
Angle 1 and angle 7
Answer: B
