Answer:
y = -5x +7
Step-by-step explanation:
slope intercept form of the equation is
y= mx+b
where m is the slope and b is the y intercept
y = -5x +7
Answer:
Step-by-step explanation:
To define the perpendicular line we need to first know the slope of the reference line graphed.
m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)
m=(1-5)/(2-0)
m=-4/2
m=-2
For lines to be perpendicular their slopes must satisfy
m1m2=-1, we have a line with a slope of -2 so
-2m=-1
m=1/2, so our perpendicular line is so far
y=x/2+b, it must have point (3,2) so we can solve for b
2=3/2+b
b=1/2, so the swimmer will travel along the line
y=x/2+1/2
<h3>
Answer: (4,2)</h3>
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Explanation:
C is at (0,0). Ignore the other points.
Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.
Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"
So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.
All of this is shown in the diagram below.
Answer:
1
Step-by-step explanation:
-3x+9=3(2x+3)+3(x-4)+1
Distributive property in the parenthesis
-3x+9=6x+9+3x-12+1
Combine Like Terms
-3x+9=9x-2
Get the x’s on one side
-3x+9=9x-2
+3. +2 +3. +2
11=11x
Divide by 11 on both sides
11/11=1
Total number of parts:
2+3=5.
Each part is:
20 cookies/ 5 parts= 4 cookies/part.
Number of chocolate cookies is:
4 cookies/part* 2 parts= 8 cookies.
Number of sugar cookies is:
4 cookies/part* 3 parts= 12 cookies.
There are 8 chocolate cookies and 12 sugar cookies~
