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Gekata [30.6K]
3 years ago
6

Find the slope of the line that passes through the pair of points (6, 7) and (9, 2). User: Find the slope of the line that passe

s through the pair of points (17, 9) and (5, 29).
Mathematics
1 answer:
DaniilM [7]3 years ago
4 0
If we have two points;
A(x₁,y₁)
B(x₂,y₂)

m=slope

m=(y₂-y₁) / (x₂-x₁)

Therefore:
(6,7)
(9,2)

m=(2-7) / (9-6)=-5/3.

Solution₁= the solpe of the line that passes through the poitns (6,7) and (9,2) is m=-5/3.

(17,9)
(5,29)

m=(29-9) / (5-17)=20/-12=-5/3

Solution ₂: the slope of the line that passes through the  parir of points (17,9) and (5,29) is m=-5/3

Therefore, both lines have the same slope.
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At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $11
Law Incorporation [45]

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

8 0
3 years ago
Find center,foci, and vertices of ellipse (x+3)^2/21+(y-5)^2/25=1
sasho [114]
I don't know if we can find the foci of this ellipse, but we can find the centre and the vertices. First of all, let us state the standard equation of an ellipse. 

(If there is a way to solve for the foci of this ellipse, please let me know! I am learning this stuff currently.) 

\frac{(x-x_{1})^2}{a^2}+ \frac{(y-y_{1})^2}{b^2}=1

Where (x_{1},y_{1}) is the centre of the ellipse. Just by looking at your equation right away, we can tell that the centre of the ellipse is: 

(-3,5)

Now to find the vertices, we must first remember that the vertices of an ellipse are on the major axis. 

The major axis in this case is that of the y-axis. In other words, 

b^2>a^2 

So we know that b=5 from your equation given. The vertices are 5 away from the centre, so we find that the vertices of your ellipse are: 

(-3,10)
 & (-3,0)

I really hope this helped you! (Partially because I spent a lot of time on this lol) 

Sincerely,

~Cam943, Junior Moderator
6 0
3 years ago
I really need help on this question
Zielflug [23.3K]

Answer:

r = 107 \\ q + s = 180 - 107 \\  = 73 \\ q = 73 \div 2 \\  = 36.5

3 0
2 years ago
When the football play started,
strojnjashka [21]
Type this question into Brainly someone has asked the same question & got the answer
3 0
3 years ago
There 18 rows of seat in the auditorium. There are 24 seats in each row. How many seats are in the auditorium
GREYUIT [131]
You would multiply rows by seats to get the total so you multiply 24 by 18. so that would get you 432 seats in total. Hope it helps!
4 0
3 years ago
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