Answer: D
Density= mass/volume
12.9g/8cm3= 1.6 g/cm3
-1 Let's say the set of downs starts at the 20 yard line (maybe the kicking team kicked deep, the receiving team took a knee and so play starts at the 20).
Ok - we're at the 20. First down - they advance 5 yards. So we're now at the 25. We can write that mathematically as:
20
+
5
=
25
So the second play they get sacked deep and lose 6 yards. So we subtract 6:
25
−
6
=
19
So what's the change in yardage for the 2 plays? We are on the 19 and started at the 20, so we can write:
19
−
20
=
−
1
and this makes sense because we know we advanced 5 and fell back 6
Well you have to factor first factoring gives you two value that you can multiply and get you a broken down version of that
you can do it two ways using the quadratic formula to factor or if you're really good at factoring just do it mentally (2x-5)(x+1)=0
for the mental way of doing the factors just set both 2x-5 equal to zero and x+1 = to zero
2x-5=0
2x=5
x= 5/2
x+1=0
x=-1
therefore the solutions are x = 5/2,-1
but if you want to learn how to do it mentally and with the quadratic function formula
let me know
Answer:
y=-2x+160
Step by Step:
The equation of a line can be determined using the point slope formula:
y-y1=m (x-x1)
To make a substitution, we must ensure we have the correct information. The question gives:
y1=60
x1=50
y=1/2x+10 This is the formula of a line that is perpendicular to the one we are trying to find.
It tells us that the gradient of the perpendicular line is 1/2. The gradient of the line we are trying to find can be found using m1×m2=-1 because we know that when lines are perpendicular, the product of their gradients must equal 1
So if we replace m1 with 1/2
1/2×m2=-1
m2=-2
We now have all the relevant information to make a substitution:
y-60=-2 (x-50)
expand brackets
y-60=-2x+100
rearrange to get in the form y=mx+b
y=-2x+160
