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2 years ago

13

Is the system of equations is consistent, consistent and coincident, or inconsistent? y=−x−1

1 answer:

Marrrta [24]2 years ago

4 0

Consittent means they have an intersection point (at least 1 intersection point)

coincident means all points are same (same line) (infinity intersection points )

insconsisiten means they don't intersect at all (0 intersectioi points)
means they are paralell

divide last equation by 3

y=-x+(2/3)
other one is
y=-x-1
they are paralell since have same slope
differend y intercepts so inconsistine

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2 years ago

Dave won a hot dog eating contest by eating 18 hot dogs in 10 minutes. He ate two more than twice the amount of the runner-up. W

IrinaVladis [17]

Answer:

The correct anser is option

B. 2x + 2 = 18

Step-by-step explanation:

Let the number of hot dogs eaten by the runner up be represented by x

If Dave ate 2 more than twice x, this means that the number eaten by him = 2x + 2

Since the total number of hot dogs eaten by Dave is 18

Therefore, the equation will be

2x + 2 = 18

So the number of hot dogs eaten by the runner-up is determined by solving for x

2x= 18-2

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The runner up are 8

While Dave are

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8 0

2 years ago

Read 2 more answers

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend

anyanavicka [17]

Answer:

The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line
b is the y-intercept (value y at x = 0)

The formula of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ Grant's path is a line from point A to point B

∴ The equation of AB represents Grant's path

Lets find the slope of AB using the formula of the slope above

∵ A = (8 , 0)

∵ B = (-4 , 6)

∴ $x_{1}$ = 8 and $x_{2}$ = -4

∴ $y_{1}$ = 0 and $y_{2}$ = 6

∵ $m=\frac{6-0}{-4-8}=\frac{6}{-12}$

∴ $m=-\frac{1}{2}$

Substitute the value of m in the form of the equation

∵ y = m x + b

∴ y = $-\frac{1}{2}$ x + b

∵ b is the value of y at x = 0

∵ y = 4 at x = 0 ⇒ from the figure

∴ b = 4

∴ y = $-\frac{1}{2}$ x + 4

We can write $-\frac{1}{2}$ x as $-\frac{x}{2}$

∴ y = $-\frac{x}{2}$ + 4

- Switch the two terms of the right hand side

∴ y = 4 - $\frac{x}{2}$

The equation of Grant's path is y = 4 - $\frac{x}{2}$

4 0

2 years ago