Answer:
Step-by-step explanation:
L : y = -4x + 3
with a slope of -4.
Any line perpendicular to L will have a slope m such that
m ( -4) = -1, or m = 1/4
Any line perpendicular to L passing through point (a,b) will therefore have the form
P : (y-b) = (x-a)/4
When (a,b) = (8,1) as given, then substitute in P to get
P : (y-1) = (x-8)/4
y=x/4 -2 + 1
y = x/4 -1
9514 1404 393
Answer:
72.6 cm
Step-by-step explanation:
It is the perimeter of the overall rectangle plus twice the depth of the notch.*
P = 2(L+W) +2d
P = 2(16 cm + 13 cm + 7.3 cm) = 2(36.3 cm)
P = 72.6 cm
The perimeter of the shape is 72.6 cm.
_____
* You may be able to visualize this if you imagine the bottom (top) of the notch translated out (down) to the edge of the rectangle. That translation does not affect the length of the line segment, but helps convince you that only the two legs of the notch are added to the perimeter of the rectangle.
Answer:
The variable that needs to be eliminated in these systems of equations are 3x
Step-by-step explanation:
-3x + 4y = -50
3x + 3y = -6
*solve from top to bottom, if that makes sense, so add 3x to -3x, 4y to 3y, and -50 to -6.*
0 + 7y = -56
7y = -56
*divide by 7 to get y alone*
y = -8
plug y into one of the original equations to get x
-3x + 4y = -50
-3x + 4(-8) = -50
-3x - 32 = -50
+32 +32
-3x = -18
x = 6
we are given
position function as
we know that acceleration is second derivative of position
so, firstly, we will find first derivative
now, we can simplify it
now, we can find derivative again
now, we can plug t=2
and we get
so,
the value of the person’s acceleration a at t=2s is -4..........Answer
Step-by-step explanation:
X-2y=5 ; 2x-4y=10
• x - 2y = 5 • 2x -4y = 10
-2y = -x+5 -4y= -2x +10
y1 = ½x - 5/2 y2 = ½x -5/2
• => y1 = y2
½x -5/2 = ½x -5/2
the systems have no solution
• graph as attached