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Mila [183]
3 years ago
5

Find the slope-intercept form of the equation of the line passing through the given points.

Mathematics
1 answer:
Ugo [173]3 years ago
5 0
The\ slope-intercept\ form:y=mx+b\\\\The\ slope-point\ form:y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

(1;\ 1)\to x_1=1;\ y_1=1\\\left(3;-\dfrac{1}{5}\right)\to x_2=3;\ y_2=-\dfrac{1}{5}.\\\\Subtitute:\\\\m=\dfrac{-\frac{1}{5}-1}{3-1}=\dfrac{-1\frac{1}{5}}{2}=-\dfrac{\frac{6}{5}}{2}=-\dfrac{\not6^3}{5}\cdot\dfrac{1}{\not2_1}=-\dfrac{3}{5}


y-1=-\dfrac{3}{5}\left(x-1\right)\\\\y-1=-\dfrac{3}{5}x+\dfrac{3}{5}\ \ \ \ |add\ 1\ to\ both\ sides\\\\\boxed{y=-\frac{3}{5}x+1\frac{3}{5}}


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an amusement park sold 46 child tickets. The other 4 tickets it sold were adult tickets. What is the ratio of the number of adul
Alja [10]

Answer:

2:46

1:23

Step-by-step explanation:

5 0
3 years ago
Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the pro
nikklg [1K]
The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:

Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:

a.) P = 4/52 + 4/52 + 4/52 = 3/13
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6 0
3 years ago
If a = 2, find b, c, and d.<br> a + b = c<br> a-c=d<br> a+b=5
Doss [256]

Answer:

a=2

b=3

c=5

d=-3

Step-by-step explanation:

a + b = c

a-c=d

a+b=5

a+b =5

a = 2

2+b =5

Subtract 2 from each side

2+b-2 =5-2

b=3

a + b = c

2+3 = c

5=c

a-c=d

2-5 =d

-3 =d

3 0
3 years ago
How do you solve 6) n2+7n+15=5 by factoring?
charle [14.2K]
First, you need to set the equation equal to zero:

n^2 + 7n + 10 = 0

Now we factor. We need to find two numbers that add up to 7 and multiply to 10. 

2 + 5 = 7
2 * 5 = 10

Now, we just need to write this as a polynomial:

(n + 2) (n + 5)
is our answer. 

Hope this helps!
8 0
3 years ago
A customer purchased a total of 23 hamburgers and chicken sandwiches. Each hamburger costs $3.50 and each chicken sandwich costs
Oliga [24]

Answer:

25 hamburgers

88.50/3.50

Step-by-step explanation:

hope this helps

mark me brainly

thanks for the points

anddd

sparkles and love

☆*: .。. o(≧▽≦)o .。.:*☆

3 0
2 years ago
Read 2 more answers
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