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6 months ago

I can send the other options? I just need this explained?

Mathematics

1 answer:

OLEGan [10]6 months ago

3 0

The standard equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

For:

$\begin{gathered} (x+3)^2+(y+1)^2=16 \\ \end{gathered}$

Rewrite the equation as:

$\begin{gathered} (x-(-3))^2+(y-(-1))^2=4^2 \\ so\colon \\ h=-3 \\ k=-1 \\ r=4 \end{gathered}$

We can conclude it is a circle with center at (-3,-1) and radius of 4

You might be interested in

How do I do this? Brainliest for best answer!

denis-greek [22]

If you replace 2 with x you will get 1 = 1

This means the anwser is :
x = 2

7 0

2 years ago

What is the set fee, or initial value, of this function

Ber [7]

Answer:
The set fee would be $15

Explanation:
The set fee is the starting value. This means that it is the value of the y at x = 0 (y-intercept).

To get the set fee, we would first need to get the equation of the line.

Equation of the linear line has the following general formula:
y = mx + c
where m is the slope and c is the y-intercept

1- getting the slope:
we are given two points which are:
(20,25) and (50,40)
the slope = $\frac{y2-y1}{x2-x1}= \frac{40-25}{50-20} = 0.5$

The equation now is:
y = 0.5x + c

2- getting the value of the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will choose the point (20,25)
y = 0.5x + c
25 = 0.5(20) + c
25 = 10 + c
c = 15

The equation of the line representing the scenario is:
y = 0.5x + 15

Now, we know that the value of the c is the y-intercept which is the initial value of the function at x=0.
In our situation, this represents the set fee.

Hope this helps :)

6 0

3 years ago

EFV and EDW are straight lines.<br>Find the value of x and of y.

Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

E = x
F = 130
G = 170
H = 65
D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

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

Now focus your attention on triangle THS

We see that the interior angles are

T = y
H = 65
S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0

2 years ago

2) A gym charges a $30 membership fee and $10 per month. Write an

kari74 [83]

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

C = 50 + 30

C = $80

$160 = 10m + 30

160 - 30 = 10m

130/10 = m

m = 13 months

Hope that helps

5 0

2 years ago

What is the equation of the line through (7, -1) with slope -3?

Slav-nsk [51]

Point slope is y-y1=m(x-x1) where m is slope and x1 and y1 are the given x and y values.

y-(-1)=-3(x-7)
y+1=-3(x-7)

Final answer: B

3 0

2 years ago

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