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Helen [10]
3 years ago
11

What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

\frac{-y_1 + y_2}{-x_1 + x_2} = m

\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

y - y_1 = m[x - x_1]

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

I am joyous to assist you anytime.

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If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?
kozerog [31]

Answer: 2

Step-by-step explanation:

I hope this helps!!!

8 0
3 years ago
Read 2 more answers
Sample Response: The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as
Ivan

The conditional probability illustrates that's there's a 2/8 that the event A occurs.

<h3>How to illustrate the probability?</h3>

It should be noted that probability simply means the likelihood of the occurence of an event.

In this case, it can be delivered that P(AID) and P(DIA) aren't equal.

Hence, P(D|A) has event A as its given event, resulting in 2/8 for a probability.

Learn more about probability on:

brainly.com/question/24756209

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7 0
2 years ago
-4 = x -1 can I see you work it out please?
kherson [118]
We need to get x alone, to do that we add 1 to both sides to cancel out the -1 on the right.
-4 = x -1
+1 +1
-3=x

This means x is equal to -3. Hope this helps!
4 0
4 years ago
Read 2 more answers
Employment data at a large company reveal that 75% of the workers are​ married, 42​% are college​ graduates, and half of the col
galina1969 [7]

Answer:

a. P=0.04

b. P=0.54

c. P=0.96

Step-by-step explanation:

If half of the college graduates are married, then we have:

- 21% are college graduates and married.

- 21% are college graduates and not married.

If 75% of the workers are married, and 21% of the workers are college graduates and married, then (75%-21%)=54% of the workers are not college graduates that are married.

If 25% of the workers are married, and 21% of the workers are college graduates and not married, then (25%-21%)=4% of the workers are not college graduates that are not married.

a) P=0.04 (explanation above)

b) P=0.54

c) In this case, the probability is the complement of point "a". Then we can calculate it by substracting the probability of not being married and not being a college graduate.

P=1-0.04=0.96

8 0
3 years ago
Somebody please help me with this !!!
Damm [24]

Step-by-step explanation:

Case 1 :

3x + 2y = 6 \\ 4x + y = 2 \\ 3x = 6 - 2y \\ x =  \frac{6 - 2y}{3}  = \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) + y = 2 \\ 8 -  \frac{8y}{3}  + y = 2 \\  - 1.67y =  - 6 \\

y = 3.59 \\ x = 2 -  \frac{2y}{3}  \\x =  2 -  \frac{2 \times 3.59}{3}  \\  \\ x =  - 0.39

Case 2 :

3x + 2y = 6 \\ 4x  -  y = 2 \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) - y = 2 \\ 8 -  \frac{8y}{3}  - y = 2 \\   - 3.67y=  - 6 \\ y = 1.63

x = 2 -  \frac{2y}{3}  \\ x = 2 -  \frac{2 \times 1.63}{3}  \\ x = 2 - 1.087 \\ x = 0.913

7 0
3 years ago
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