Answer:
The vertex is (-3, 7)
Step-by-step explanation:
As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:
the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.
So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).
Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).
There is a lot of equations that are long division that will equal 5. long division is simply writing out the equation to solve it. so example 25 divided by 5.
Answer:
Step-by-step explanation:
let their ages be x,y,z and x>y>z
x+y+z=74 ...(1)
x=(y+z)-12
or x-y-z=-12 ...(2)
y=z+5 ...(3)
add (1) and (2)
2x=62
x=62/2=31
from (1)
31+y+z=74
y+z=74-31=43
substitute from (3)
z+5+z=43
2z=43-5=38
z=38/2=19
y=19+5=24
so their ages are 31,24 and 19
Answer:
y = -3x-1
Step-by-step explanation:
Point-slope equation of a line
y-y1=m(x-x1)
(x1,y1) are coordinates of a point in the line = (-3,8)
m is the slope of the line = -3
Fill in what you know and move constants to get y by itself (y=mx + b ... slope-intercept equation)
y-8=-3(x+3)
y-8=-3x-9
+8 +8
y = -3x-1
None of the options are correct
Sosksl 35is40 is 40 times 0 is 3