15^2 = x^2 + 11^2
225 = x^2 + 121
Subtract both sides 121
225 - 121 = x^2 + 121 - 121
104 = x^2
x = √104
x = √4 × 26
x = √4 × √26
x = 2 × √26
x = 2 √26
Hey! First of all, you can express x squared as x^2.
Secondly, the problem! I'm assuming you're asking for the values of x - if you're asking what the equation is, it's a quadratic equation, or a second-degree polynomial. Solving for x, this equation can be factored as (x-4)(x+1)=0. Because either of these two terms being zero will make the whole equation zero, we can have x-4=0, in which case x=4, or x+1=0, in which case x=-1. Therefore, x is either 4 or -1
Answer:(a) Co-ordinate rule is and
(b) Co-ordinates of B' and C' are and respectively.
Step-by-step explanation:
(a)
Here, the co-ordinates of A are translated to A'.
For the co-ordinates A and A', and
So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.
Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:
and .
(b)
Using the co-ordinate rule, we can find the co-ordinates of B' and C'.
For B, and .
So, of B' is
And, of B' is .
Therefore, co-ordinates of B' are .
For C, and .
So, of C' is
And, of C' is .
Therefore, co-ordinates of C' are .
Step-by-step explanation:
7x-2=-23 add 2 to both sides to get 7x by itself
7x=-23+2 now add the right side
7x=-21 now divide both sides by 7
x=-21/7
x=-3
