How do you know when there are no solutions to a system of equations?

1 answer:

4 0

No solution
========
The lines are parallel
eg
y = 2x + 3; y = 2x + 5

Infinite solutions
============
When one equation reduces to the second one.
2y = 10x + 6
y = 5x + 3 When you divide the first one by 2, you get the second one.

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Cable has 24 pennies he has hafe as many nickels as pennies he has 5 more dimes than nickels he has 6 fewer quarters than dimes

Andreyy89

Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6

Therefore...

Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11

6 0

3 years ago

Write the equation of a line with a slope of -2 and a y-intercept of 5:

saveliy_v [14]

Answer: y = -2x +5 , so C (you probably just forgot to put the x)

Explanation: y = mx+b m represents the slope, b represents the y intercept

6 0

3 years ago

Read 2 more answers

What is the slope - intercept form of the equation if the line through the points (3,-1) and (-1,-5)

ikadub [295]

Answer:

Slope - intercept form:

B) y= x -4

Step-by-step explanation:

(3,-1) and (-1,-5)

Slope = (-5 + 1)/(-1 - 3)

Slope = -4 / -4

Slope = 1

Point slope form:

y + 1 = 1 (x - 3)

y +1 = x - 3

y = x - 4 <------------------slope - intercept form

7 0

3 years ago

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Sphere and a cylinder have the same radius and height. The volume of the cylinder is 64 meters cubed.

Mrrafil [7]

Answer:

C. 128/3 meters cubed

Step-by-step explanation:

The volume of a cylinder is denoted by: $V=\pi r^2h$ , where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:

$V=\pi r^2h$

$64=\pi r^2h$

We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:

$64=\pi r^2h$

$64=\pi r^2*2r=2\pi r^3$

$\pi r^3=64/2=32$

Now, the volume of a sphere is denoted by: $V=\frac{4}{3} \pi r^3$ , where r is the radius. From above, we know that $\pi r^3=32$ , so we can plug this into the equation: