Answer:
Slope <em>m</em> (Gradient) = 3
y-intercept: (0, -5)
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3x - 5
<u>Step 2: Break function</u>
Slope <em>m</em> = 3
y-intercept <em>b</em> = -5
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Hope it helps, despite being this long!
Alrigty
in form

the vertex is (h,k)
the constant, a, deterimines the size and direction
if a>0, then the parabola opens up and the vertex is the minimum
if a<0 then the parabola opens down and the vertex is the maximum
so we are given

1>0 so it opens up
vertex is (-2,4)
the vertex is a minimum
the vertex is (-2,4) and the graph has a minimum
Answer:
A
Step-by-step explanation:
A) r = 8
B) r = 4
C) r =
~ 3.09
D) r =
Circle A has the largest radius, and thus is the largest circle
Answer:
The length of side VT is not 5
Step-by-step explanation:
I did the question and got the answer right