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Anuta_ua [19.1K]
3 years ago
14

What is the equation of the line that passes through the points (-2, 3) and (2, 7)?

Mathematics
1 answer:
klemol [59]3 years ago
5 0
X -y = -5

To see that substitute the points.

First, point (-2,3)

-2 - 3 = -5

Now second point (2,7)

2 - 7 = -5

As you have seen, both points belong to the equation x - y = -5
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PLEASE HELP QUESTION IN PICTURE
sp2606 [1]

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

  • This means that b + 25 + 100 = 180

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

  • b + (25+100)=180
  • b + 125 = 180

Step 2: Subtract 125 from both sides.

  • b + 125 - 125 = 180 - 125
  • b = 55

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

  • This means that 110 = d + 55

2. (Solving)

Step 1: Subtract 55 from both sides.

  • 110-55 = d + 55-55
  • 55 = d

Therefore, d = 55.

5 0
2 years ago
Please help me!!! 13 points
77julia77 [94]
1. 16% or 25%
2. True
3 0
3 years ago
A normal distribution has a mean of 10 and a standard deviation of 1. What is the probability of selecting a number that is at m
Len [333]

Answer: 0.500

Step-by-step explanation:

Given : A normal distribution has a mean(\mu) of 10 and a standard deviation(\sigma) of 1.

Let x be a random variable that represents numbers .

The probability of selecting a number that is at most 10 will be

P(x\leq10)=P(\dfrac{x-\mu}{\sigma}\leq\dfrac{10-10}{1})\\\\=P(z\leq0)=0.500

As the area occupied by standard normal curve less than equal to 0 = 0.500

So, required probability = 0.500

3 0
2 years ago
Someone explain this thanks
satela [25.4K]
It's too blurry you might want to retake the picture
6 0
3 years ago
I need help with these. They are hard.<br><br>​
iragen [17]

Answer:

Find the explicit from for the sequence t_n=t_{n-1}+4,t=6:

a_n=4n+2

This next question I edited a bit.  Your question just says find the four terms.  I'm assuming they meant the first four. I also changed the c to an a.

Find the first four terms of the sequence given by: a_n=n a_{n-1}-3,a_1=2:

a) 2,1,0.-3

You might want to read that second question again because there is errors in the question or things that don't really make sense.  I made my own interpretation of the problem based on my own mathematical experience.

Step-by-step explanation:

So your first question actually says that you can find a term by taking that term's previous term and adding 4.

So more terms of the sequence starting at first term 6 is:

6,10,14,18,....

This is an arithmetic sequence.  When thinking of arithmetic sequences you should just really by thinking about equations of lines.

Let's say we have this table for (x,y):

x  |   y

----------

1      6

2    10

3     14

4     18

So we already know the slope which is the common difference of an arithmetic sequence.

We also know point slope form of a line is y-y_1=m(x-x_1) where m is the slope and (x_1,y_1) is a point on the line.  You can use any point on the line. I'm going to use the first point (1,6) with my slope=4.

y-6=4(x-1)

y=6+4(x-1)    :I added 6 on both sides here.

y=6+4x-4     :I distribute here.

y=4x+2        :This is what I get after combining like terms.

So a_n=y and x=n so you have:

a_n=4n+2

---------------------------------------------------------------------------------------

The first four terms of this sequence will be given by:

a_1,a_2,a_3,a_4

a_1=2 so it is between choice a, c, and d.

a_n=na_{n-1}-3

To find a_2 replace n with 2:

a_2=2a_{1}-3

a_2=2(2)-3

a_2=4-3

a_2=1

So we have to go another further the only one that has first two terms 2,1 is choice a.

7 0
3 years ago
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