Answer: 20 seconds
Step-by-step explanation:
The distance is 540 feet
speed of the girl = 15ft/s
speed of the puppy = 12 ft/s
If we stand in the frame of reference where the girl is still, in this frame the speed of the puppy will be equal to the speed of the puppy in our previus frame plus the speed of the girl in the previous frame (because they are running in opposite directions)
S = 15 ft/s + 12ft/s = 27ft/s
Now we can use the equation:
time = distance/speed
T = 540ft/27ft/s = 20s
Answer:
not linear
Step-by-step explanation:
this equation becomes y = -4x² + 32x which is a quadratic equation that, when graphed, forms an upside down u-shaped curve (upside down because the x² term is negative; if it's positive then the curve is u-shaped)
Answer:
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Step-by-step explanation:
a) 3x+2(41-5x)=33 as y=41-5x is given
3x+82-10x=33
-7x+82=33
-7x=33-82
-7x=-49 cut the negative signs as its LHS and RHS
x=49/7=7
b)-5x+3(3x-3)=3 as y=3x-3 is given
-5x+9x-9=3
4x-9=3
4x=3+9
x=12/4=3
c)4x+11-5x=9
-x+11=9
-x=9-11
-x=-2 cut the negative signs as its LHS and RHS
x=2
d) 5y+ -5-2y=-11 as x=-5-2y is given
3y+-5=-11
3y=-11+5
3y=-6
y=-6/3=-2
e)-5x-4(2x+1)=35 as y=2x+1
-5x-8x+4=35
3x+4=35
3x=35-4
3x=31
x=31/3
x=10.3
Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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