Answer:
y = 3/4x + 19/2
Step-by-step explanation:
m = 3/4. point (-6,5)
Point slope form:
y-5=3/4(x- -6)
y -5 = 3/4x + 18/4. 18/4 = 9/2
Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2
y = 3/4x + 19/2
(-8)*(-7)=(-15)
the 2 in the beginning stays the same, and you multiply what’s in the parentheses to get (-15)
Answer:
Step-by-step explanation:
Since 
and 
are equal, we can set them equal to each other:
Substitute 
to solve for :
Answer:
b=4
Step-by-step explanation:
P.T.c^2=a^2 +b^2
5^2=3^2 +b^2
25=9+b^2
b^2 =25-9
b^2 =16
b=sqrt(16)
b=4
Typically, the equation of a circle is given like this: (x-h)^2 + (y-k)^2 = r^2, where r is the radius of the circle and the point (h,k) is the center. To find the value k, you need to put the first equation you have into this form. Standard form requires that you only have the1 y variable, as seen in the parentheses, so you first need to complete the square.
x^2 + y^2 - 2y = 11
x^2 + y^2 - 2y +1 = 11 + 1
x^2 + (y - 1)^2 = 12
And that puts the equation in standard form. k = 1.
