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miskamm [114]
3 years ago
12

Find an equation for a line perpendicular to y= 3x – 5 , with a y- intercept of -2

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

Since the lines are Perpendicular..

The Product of their Gradients = -1

m'm"=-1

m' from y=3x - 5 is 3

3.m" = -1

m" = -1/3.

Since Intercept on y axis = -2...

That of x at that point is =0

y-y' = m"(x-x")

y-(-2) = -1/3( x - 0)

y+2 = -1/3(x)

Multiplying through by 3

3y + 6 = -x

3y + x = -6. This is your Equation

To verify this.

Let's turn it into the Intercept form which is

x/a + y/b = 1

To get 1 at the right hand side... Divide through by -6

3y/-6 + x/-6 = 1

y/-2 - x/6 = 1

You could see directly below y is its intercept and thats -2

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Answer:

9,6

Step-by-step explanation:

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6 0
3 years ago
Which graph does not represent a function
ohaa [14]

Answer:

The graph that does not represent a function is;

The first graph of the circle

Step-by-step explanation:

A function is a relationship, rule or law that maps the inputs 'x' the input set 'X' known as the domain, to exactly one output 'y' in the output set 'Y' known as the range

Therefore, a function maps an input to exactly one output

In a graph, the inputs are usually the x-variables, therefore the graph that maps the x-variables (in which an x-variable has) to more than one y-variable is the graph of the circle

In the graph of the circle, we have;

When x = 0 at the origin, y = 0

Similarly

When x = 0 at the maximum point, y = 4

Therefore, the graph of the circle does not represent a function.

7 0
3 years ago
A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6
OlgaM077 [116]

Answer:

  • <u><em>P = 0.40x + 0.50y</em></u>

Explanation:

The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.

In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.

Each bottle of <em>cappuccino earns a profit of $0.40</em> and each bottle of <em>café au lait earns a profit of $0.50</em>.

Then:

  • using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and

  • using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.

The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:

  • P = 0.40x + 0.50y

That is the <em>objective function</em>, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.

7 0
3 years ago
Read 2 more answers
Thanks this answer really helped I got %100 on my test
Rzqust [24]
I don’t understand if this is a math problem or a statement.
3 0
3 years ago
Read 2 more answers
write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answ
Zigmanuir [339]

The graph is showing the equation of circle x²+y²=4

<h3>What is a circle?</h3>

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

To know more about circles follow

brainly.com/question/24375372

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8 0
2 years ago
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