Write the equation of the line that passes through the point (5, 6) and a slope of -2

Mathematics

1 answer:

mina [271]2 years ago

3 0

Answer:

y = -2x + 16

Step-by-step explanation:

So first you plug in the values you know into the slop int. form, equation, in which it is y = mx +b. When you plug in the slope value then you will get the equation of y = -2x +b, in which then you have to solve for the b value.

In order to solve for the b value, you then plug in the x and y values of the coordinate that is given so what you would do is this: 6 = -2(5) +b

6 = -10 +b

16 = b

So then you find out b is 16 in which you just plug back into the equation. So finally you write the equation, y = -2x+16.

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Suppose that an urn contains 3 black marbles, 7 yellow marbles, and 10 green marbles. If one marble is selected, determine the p

Yuliya22 [10]

Answer:

1/2

Step-by-step explanation:

Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.

(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)

So for this problem, there's 20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).

Our probability of getting a green marble is $\frac{10}{20\\}$ , which simplifies to $\frac{1}{2}$