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2 years ago

Describe how to write an equation of a line using two points on the line.

Mathematics

1 answer:

CaHeK987 [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Calculate the slope from 2 points.

Substitute either point into the equation. You can use either (3,7) or (5,11)

Solve for b, which is the y-intercept of the line.

Substitute b, -1, into the equation from step 2.

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Determine whether the events are independent (I) or dependent (D). Place your answer in the blank provided. 1. Ramiro draws a ma

Stels [109]

Answer:

Independent events

Step-by-step explanation:

Given that:

Ramiro draws a marble from a jar without replacement and then flips a coin

Let $E_1$ be the event that Ramiro draws a marble without replacement and;

Let $E_2$ be the event of flipping a coin.

Let's have an analogy so that we can better understand the concept of independent and dependent events.

Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.

The event $E_1$ does not in any way affect the event $E_2$ of a head or a tail showing up in a flip of a coin.

Therefore, we say that $E_1$ and $E_2$ are independent events.

Suppose the event $E_1$ affects or influence the event $E_2$ , then we can say they are dependent events.

4 0

3 years ago

Find the value of sin(a/2) if cosa= 12/13<br>

daser333 [38]

Answer: sin $\frac{a}{2}$ = ± $\frac{1}{\sqrt{26} }$

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ± $\sqrt{(1-} \frac{cos2A}{2} )$

As required, set A = $\frac{a}{2}$ & cos a= $\frac{12}{13}$ ,thus we get

sin $\frac{a}{2}$ =± $\sqrt{\frac{1-cos a}{2} }$

∴ sin $\frac{a}{2}$ =± $\sqrt{\frac{1-\frac{12}{13} }{2} }$ = ± $\frac{1}{\sqrt{26} }$

since ,360° < $\frac{a}{2}$ <450°

,180° < $\frac{a}{2}$ <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

5 0

2 years ago

Tennessee Whisky contains 40% alcohol; how many ml of whiskey can be produced with 80ml of alcohol?

anygoal [31]

well we know that we have 80mL and we also know that those 80mL will represent the "solute" or the 40% of the Tennessee whiskey total which we can say is 100%, so if 80 is the 40%, how much will it be for the 100% in mL?

$\begin{array}{ccll}mL&\%\\\cline{1-2}80&40\\x&100\end{array}\implies \cfrac{80}{x}=\cfrac{40}{100}\implies \cfrac{80}{x}=\cfrac{2}{5}\implies 400=2x\\\\\\ \cfrac{400}{2}=x\implies \underset{mL}{200}=x$

5 0

2 years ago

A box of cereal states that there are 84 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories a

Tamiku [17]

Answer:

first question is 112, second is 336

Step-by-step explanation:

you only need to do is 84÷3/4=112calories

this is one box of cereal state if you want three

box calories just 3×112

3 0

3 years ago

4x^2-5x=0 <br> Help me pls!!!!!

matrenka [14]

The answer to this is: x = 0, 5/4

8 0

2 years ago