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GalinKa [24]
3 years ago
9

The two lines y=2x+8 and y=2x-12 intersect at x-axis at P nad Q. work out the distance PQ

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

ANSWER

|PQ|=10

EXPLANATION

The first line is

y=2x+8

We put y=0 to find the x-intercept.

0=2x+8

-2x=8

x=-4

(-4,0) are the coordinates of P.

The second equation is

y=2x-12

To find the x-intercept, we put x=0 into the formula:

0=2x-12

-2x=-12

x=6

The coordinates of Q are (0,6).

The distance between these two points.

|PQ|=|6--4|=10

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Step-by-step explanation:

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8 0
3 years ago
One of the most fiercely debated topics in sports is the hot hand theory. The hot hand theory says that success breeds success.
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Answer:

The answer to the question is

The theory of the hot hand is valid in my opinion.

Step-by-step explanation:

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Based on evidence from the sampled statistics, the likelihood of achieving an increased probability of success on subsequent attempt on the condition that previous attempts were successful in my opinion is plausible. This is because the ability to score points at a game is dependent on several variables, all of which are from previous occurrence, such dependent variables include

1.  The inherent ability of the sport athlete to deliver the required input for success. This is a conditional probability for success as such this forms part of the increased acceptance level for the  "hot hand" phenomenon

2. Conditions of play may favor a particular probability than others resulting in a change in the mean, and the standard deviation of the distribution resulting in a skewed outcome

3. Increased opportunity giving to the athlete that previously had a successful attempt possibly by the athlete himself by way of confidence, the audience by way of focus on the outcome of the athletes attempt, and the administrators by way of trying to make it achievable and hence easier within the rules for the athlete have a successful attempt

The "hot hand" (also known as the "hot hand phenomenon" or "hot hand fallacy") is the purported phenomenon that a person who experiences a successful outcome has a greater chance of success in further attempts. The concept is often applied to sports and skill-based tasks in general and originates from basketball, whereas a shooter is allegedly more likely to score if their previous attempts were successful, i.e. while having "hot hands.” While previous success at a task can indeed change the psychological attitude and subsequent success rate of a player, researchers for many years did not find evidence for a "hot hand" in practice, dismissing it as fallacious. However, later research questioned whether the belief is indeed a fallacy.[1][2] Recent studies using modern statistical analysis show there is evidence for the "hot hand" in some sporting activities.[2]

7 0
3 years ago
Three hundred tenured professors at Florida Universities are randomly sampled and are asked: "On what day of the week were you b
Vikki [24]

Answer:

the answer is Tuesday

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP! Whoever answers correctly will get brainliest
bekas [8.4K]

Answer:

The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.

7 0
3 years ago
If a dog runs 2/3 miles in 2/15 hours what is it’s rate in mile per hour
cricket20 [7]

Answer:

5 miles per hour

Step-by-step explanation:

It takes the dog 2/15 hours to run 2/3 miles.

Therefore,

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= 15/3 = 5miles per hour

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