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3 years ago

The slopes of perpendicular line segments are 1/3 and d/5. What is the value of d

1 answer:

4 0

If 2 lines (or line segments) are perpendicular, then the product of their slopes is equal to -1.

Thus, since the given line segments are perpendicular, we have:

$\displaystyle{ \frac{1}{3}\cdot \frac{d}{5}=-1$ .

Multiplying both sides of the equation by 15, we get d=-15.

Answer: d=-15

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1200 I THINK

Step-by-step explanation:

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2 years ago

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Which graph best represents the relationship between time and the number of teams registered?

alexdok [17]

<h2>Explanation:</h2><h2></h2>

The complete question is in the attached file. So we have to choose between two graphs. On of them is a linear model while the other is an exponential model. From the statements, we have a relationship between time and the number of teams registered. So we can establishes variables in the following form:

$x:\text{Time} \\ \\ y:\text{Number of teams registered}$

We also know that each week 6 teams register to participate, so:

$\bullet \ \text{For week 0:} \rightarrow \text{0 teams registered} \\ \\ \bullet \ \text{For week 1:} \rightarrow \text{6 teams registered} \\ \\ \bullet \ \text{For week 2:} \rightarrow \text{12 teams registered (Because 6+12)} \\ \\ \bullet \ \text{For week 3:} \rightarrow \text{18 teams registered (Because 12+6)}$

As you can see, as x increases one week, y increases at a constant ratio of 6. Therefore, this can be modeled by a linear function given by the form:

$y=6x$

In conclusion, <em>the linear model (first graph below) is the one that bests represents the relationship between time and the number of teams registered.</em>

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3 years ago

X=6{2+3[2(7-3)+(7+1)-5]} can someone help?

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270 solve that yourself lol

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3 years ago

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Step-by-step explanation:

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Suppose there is no outcome common to all three of the events A, B, and C.

mina [271]

Answer:

Yes, the event are mutually exclusive...

Step-by-step explanation:

Event are mutually exclusive if those event cannot occur at the same time. That is the definition of mutually exclusive for instance in a football match, a certain team canot score 0 and 2goals in a match, it is either he scored 2goals or zero goals... In a throw of a coin we cannot have head and tail at the same time, it is either we have a head or a tail, all the event are mutually exclusive.

Now if we have a dealer selling blue car and two doors car. Let say 20% are blue and 10% have two doors. Then, this are not mutually exclusive because we can have a car that is blue and have two doors.

Mutually exclusive events are like disjoint set in SET theory, where A intersection B intersection C is equal to empty set.

Where A n B n C= {} empty set

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3 years ago