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Andrei [34K]
3 years ago
9

What is the distance between the points

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0

Answer:

10 units

Step-by-step explanation:

Use distance formula

distance D = root (  (1 - -5)^2  + (-6 - 2)^2 )

D = root (6^2  + 8^2)  =   root (100) = 10

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Answer this please! The question and answers options are on the picture! ​
Makovka662 [10]

Answer:

WHAT PICTURE

Step-by-step explanation:

7 0
3 years ago
What is the equation of the following graph in vertex form?
Veronika [31]

Answer:

The equation in vertex form is:

y=(x-2)^2+1

Step-by-step explanation:

Recall that the formula of a parabola with vertex at (x_{vertex},y_{vertex}) is given by the equation in vertex form:

y=a\,(x-x_{vertex})^2+y_{vertex}

where the parameter "a" can be specified by an extra information on any other point apart from the vertex, that parabola goes through.

In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:

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

we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter a:

y=a\,(x-2)^2+1\\5=a(0-2)^2+1\\5=a\,*\,4+1\\5-1=4\,a\\4=4\,a\\a=1

The, the final form of the parabola's equation in vertex form is:

y=(x-2)^2+1

5 0
3 years ago
Please help anyone
olya-2409 [2.1K]
There is no picture of the graph
3 0
2 years ago
A home builder obtained a preconstruction loan of $50,000 for 8 months at an annual interest rate of 9.5%. What is the simple in
kykrilka [37]
Annual interest
50000 * (9.5 / 100)
4750

Interest for 12 months = 4750
Interest for 8 months 
(4750/12) * 8
$ 3166.67
8 0
3 years ago
Solve the system of equations below 4x+y=16 and 2x+3y=-2
astraxan [27]
4x+y=16 multiply both sides by -3 and will get 
2x+3y=-2

-12x -3y = -48
   2x +3y = -2
--------------------------
-10x  0  = -50

-10x = -50

x = -50/(-10) = 5

x = 5 

4x+y=16
4*5+y=16
20+y=16

y = 16-20

y = -4

x = 5
y = - 4

hope helped 
7 0
3 years ago
Read 2 more answers
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