Answer:
Terrance is incorect.
Correct output coordinates (-y,-x)
Step-by-step explanation:
Let 
be the input coordinates.
First translation is a rotation of 180° clockwise about the origin. This translation has a rule
Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule
When a sequence of two translations are applied to the initial input coordinates, then
As you can see Terrance made a mistake and these two transformations do not cancel themselves out.
Answer:
x = -4.8
Step-by-step explanation:
combine like terms
3x + 2x + 6 = -18
5x + 6 = -18
isolate the terms with the x variable
5x + 6 - 6 = -18 - 6
5x = -24
isolate x
5x/5 = -24/5
x = -4.8
This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get
i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:
where 
is a compact way to indicate both solutions 
and 
, while 
are the coefficients of the quadratic equation, i.e. we consider the polynomial 
.
So, in your case, we have 
Plug those values into the formula to get
So, the two solutions are
Answer:
7 + 8 = 7 + 7 + 1.
Step-by-step explanation:
We know that, 'double plus one facts' is used to make the addition of numbers easy.
For e.g. we have 8 + 9 = 17. This addition can also be done as 8 + 8 + 1 = 17 i.e. we write first term twice and add 1 to get the result.
Hence, we give the name to this type of addition as 'double plus one'.
Now, we have to use this fact for 7 + 7.
So, we consider 7 + 8 = 15.
Therefore, 7 + 8 can be written as 7 + 7 + 1
Hence, the double plus one facts for 7 + 7 is 7 + 8 = 7 + 7 + 1.
Answer:
is there like a image of this eqation?
Step-by-step explanation:
