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Romashka [77]
3 years ago
12

When y=-2, what kind of line does it have horizontal or vertical

Mathematics
1 answer:
Rashid [163]3 years ago
8 0

Answer: Horizontal

Step-by-step explanation: The equation <em>y = -2</em> can be thought of as y = 0x - 2. So our line has a slope of 0 and a y-intercept of -2.

To graph it, we start with the y-intercept, down 2 units on the y-axis. Now, if the slope of a line is 0, then the line must be flat or horizontal.

So we just draw a horizontal line through the y-intercept of -2.

In fact, when the equation of any line reads y = a number, it's graph will always be a horizontal line. For example, y = 3, y = -10, y = -8 and so on.

Image provided below.

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agasfer [191]

Answer:

see explanation

Step-by-step explanation:

To find the y-intercept let x = 0, in the equation

6x - 3y = 15 → (1)

x = 0 : - 3y = 15 ⇒ y = - 5 ⇒ (0, - 5) ← y- intercept

x + 3y = - 8 → (2)

x = 0 : 3y = - 8 ⇒ y = -\frac{8}{3} ⇒ (0, - \frac{8}{3}) ← y- intercept


4 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
lora16 [44]

Answer:

The maximum amount of profit the company can make is $854.08

Step-by-step explanation:

Let

x ----> the selling price of each widget

y ---> the amount of profit

we have

y=-3x^{2} +155x-1148

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

so

The y-coordinate of the vertex represent  the maximum amount of profit the company can make

using a graphing tool

Find out the vertex of the quadratic equation

The vertex is the point (25.83,854.08)

see the attached figure

The y-coordinate of the vertex is 854.08

therefore

The maximum amount of profit the company can make is $854.08

4 0
3 years ago
Read 2 more answers
Someone please help me with this​
Sedbober [7]

Answer:

The area of the shaded figure is:

  • <u>20 units^2</u>

Step-by-step explanation:

To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):

  • Area of a rectangle = long * wide
  • Area of a rectangle = 6 * 4
  • Area of a rectangle = 24 units^2

How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):

  • Area of a triangle = \frac{wide*height}{2}
  • Area of a triangle = \frac{4*2}{2}
  • Area of a triangle =\frac{8}{2}
  • Area of a triangle = 4 units^2

In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:

  • Area of the shaded figure = Area of the rectangle - Area of the triangle
  • Area of the shaded figure = 24 units^2 - 4 units^2
  • <u>Area of the shaded figure = 20 units^2</u>

I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.

5 0
2 years ago
At 3:20, what is the measure in degrees of the lesser angle formed by the hour hand and the minute hand
gregori [183]

Answer: 30 degrees

Step-by-step explanation:

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If y=12, what is the value of 85y+8-80y?
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Step-by-step explanation: Because I am smart  

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