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4 years ago

What is the equation of the line that passes through the point (6,−4) and has a slope of -1/6

Mathematics

1 answer:

Luda [366]4 years ago

6 0

Answer:

y + 4 = (-1/6)(x - 6)

Step-by-step explanation:

Apply the point-slope formula here: y - k = m(x - h) becomes

y + 4 = (-1/6)(x - 6)

You might be interested in

Five bikers join a race. In how many possible ways can they be arranged as

PolarNik [594]

Answer:

60 different possibilities

Step-by-step explanation:

Number of bikers = 5

Positions = first, second and third

First positions = all 5 riders can take the first spot = 5 possibilities

Second spot = position 1 has been filled hence number of possibilities = ( 5 - 1) = 4

Third spot = position 1 and 2 has been filled ; number of possibilities =. (5 - 2). = 3

Number of possible arrangements :

5 * 4 * 3 = 60 different possibilities

6 0

3 years ago

Ok needed asap and likee go in order

Ksenya-84 [330]

Answer:

4. A

5. B

6. C

Step-by-step explanation:

In total there are 12 possible shakes.

The combinations are:

ice cream - pineapple - peanuts

ice cream - pineapple - granola

ice cream - strawberry - peanuts

ice cream - strawberry - granola

ice cream - banana - peanuts

ice cream - banana - granola

yogurt - pineapple - peanuts

yogurt - pineapple - granola

yogurt - strawberry - peanuts

yogurt - strawberry - granola

yogurt - banana - peanuts

yogurt - banana - granola

Therefore the chance is 1/12 for the combination ice cream, pineapple and granola.

To find the total possible outcomes, count the last value in the tree diagram. There are 8 possible outcomes.

Find the total number of balls by adding each of the colours.

1 + 3 + 8 = 12

There is 1 red ball. The probability of getting a red ball out of the total is 1/12.

The probability in words ordered in comparison to the fractions:

impossible-----unlikely------------likely-------------certain

0/12------------ 1/12--5/12--------7/12---11/12----------12/12

Since 1/12 is between 1/12 and 5/12, the possibility is unlikely.

8 0

4 years ago

Write an expression for the area of the shaded region in its simplest form. Show all of your steps.

patriot [66]

The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:

((x+10)(2x+5)) - ((x+1)(x+1))

First, FOIL both of the areas separately:

(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)

Simplify within the parentheses by adding like terms:

(2x^2 + 25x + 50) - (x^2 + 2x + 1)

Now, subtract one equation from the other:

2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49

This will be the equation for the area.

3 0

3 years ago

How many solutions are possible for a system of equations containing exactly one linear and one quadratic equation? (Select all

galina1969 [7]

Remember that a quadratic equation is a parabola. The equation is of the type y = Ax^2 + Bx + C

A linear equation is a straight line. The equation is of the type y = MX + N

The soluction of that system is Ax^2 + Bx + C = MX + N

=> Ax^2 + (B-M)x + (C-N) = 0

That is a quadratic equation.

A quadratic equation may have 0, 1 or 2 real solutions. Those are all the possibilitis.

So you must select 0, 1 and 2.

You can also get to that conclusion if you draw a parabola and figure out now many point of it you can intersect with a straight line.

You will realize that depending of the straight line position it can intersect the parabola in none point, or one point or two points.

6 0

3 years ago

On the graph shown, what is the slope ?

mr_godi [17]

Answer:

3/4

Step-by-step explanation:

To find the slope using a line on a graph, calculate the difference between two points. To do so, use the formula y2 - y1/x2 - x1.

Two points on this line are (0, -1) and (4, 2). This means:

y2 = 2

y1 = -1

x2 = 4

x1 = 0

Plugging those values in, we get:

2 - (-1)/4 - 0

Evaluating 2 - (-1) and 4 - 0, we get 3/4. Therefore, the slope is 3/4.

8 0

3 years ago