Answer:
-2/5
2
Step-by-step explanation:
Slope is rise over run according to my former algebra teacher, but I learned it differently (still correct tho).
The first moves 2 units down so negative 2, and moves 5 units right, so -2/5 since the rise is -2, and run is 5.
The second one moves 2 x-units for every 1 y-unit, so the slope is 2,
Answer:
Step-by-step explanation:
Given 
, start by squaring both sides to work towards isolating 
:
Recall 
and 
:
Isolate the radical:
Square both sides:
Expand using FOIL and 
:
Move everything to one side to get a quadratic:
Solving using the quadratic formula:
A quadratic in 
has real solutions 
. In 
, assign values:
Solving yields:
Only works when plugged in the original equation. Therefore, 
is extraneous and the only solution is 
5 3/5, 27/5, 33/6 , hope I helped lmk if I got it right
Answer: Option a.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option a.
Hey there!
We are looking for the circumference of the circle, which is the distance around it. We are given the area, which is the radius squared times pi.
First, we need to undo the area to find our radius.
113.04/3.14=36
We square root this to find the radius.
√36=6
Our radius is six. To find the circumference, we need to multiply the diameter by pi. The diameter is twice the radius.
6*2=12
12*3.14=37.68
Therefore, we will need 37.68 feet of trim to around the edge of the quilt.
I hope this helps!
