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2 years ago

A line is represented by the equation y = 3x - 6. Which is a coordinate of a

Mathematics

1 answer:

Furkat [3]2 years ago

6 0

Answer:

(2,0)

Step-by-step explanation:

Simply plug in the coordinates. y= 3x - 6, so in this case 0= 3(2) - 6 or 0=0, making the point on the line. If the equation is not true like when using (0,3) and getting 3= -6, then the point is not on the line.

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Which of the following best describes the slope of the line below? A. Zero B. Undefined C. Positive D. Negative

nadya68 [22]

Answer:

D. negative

Step-by-step explanation:

Let's analyze each answer choice.

A. Zero

A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.

B. Undefined

A line with an undefined slope is a vertical line. The x values don't change and the y values vary.

C. Positive

When a line has a positive slope, the line increases from left to right.

D. Negative

When a line has a negative slope, the line decreases from left to right.

When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.

7 0

3 years ago

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

</span> $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0

3 years ago

Evaluate t-u/v, when t=-1,u=-3 and v=1/2

mars1129 [50]

Answer:

Step-by-step explanation:

t-u/v

substitute (-1) - (-3)/(1/2)

divide (-1) - (-6)

simplify (-1) + 6

add 5

3 0

2 years ago

Complex to Trigonometric:<br>Z=√6+√2+2i

Alekssandra [29.7K]

Answer:

z=6+2i maybe

Step-by-step explanation:

8 0

3 years ago

Solve the equation 6 (t-2)=2t 2

Degger [83]

Is plus 2 or minus 2?

3 0

2 years ago