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NISA [10]
1 year ago
9

A circle is described by the equation x2 y2 14x 2y 14 = 0. what are the coordinates for the center of the circle and the length

of the radius?
Mathematics
1 answer:
bearhunter [10]1 year ago
6 0

Answer:

length is (-7,-1) and radius is 6

Step-by-step explanation:

We are given the expression of the equation of a circle that is

x2 + y2 + 14x + 2y + 14 = 0.

Using completing the squares:

x2 + y2 + 14x + 2y + 14 = 0(x+7)^2 + (y+1) ^2 = -14 + 49 + 1(x+7)^2 + (y+1) ^2 = 36 center thus is at (-7,-1) and the radius is equal to square root of 36 equal to 6.

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3/a times x -4 equals 20
jenyasd209 [6]

Answer:

a = -5/3

Step-by-step explanation:

3/a × -4 = 20

3a × -4/-4 = 20/-4

3a = -5

a = -5/3

Check:

3/(-5/3) × - 4 = 20

-5 × - 4 = 20

4 0
1 year ago
Which quadratic function in standard form can be represented by the graph that has a vertex at (6, 3) and passes through the poi
xenn [34]

Answer:

Step-by-step explanation:

8 0
3 years ago
23rd term: -4,-7,-10,-13
Mashutka [201]
5 : -16
6 : -19
7 : -22
8 : -25
9 : -28
10: -31
11 : -34
12: -37
13: -40
14 : -43
15 : -46
16 : - 49
17 : - 52
18 : - 55
19 : - 58
20: - 61
21 : - 64
22: -67
23: -70

23rd term : is -70
3 0
3 years ago
How to factor out 7x^6
Nataly_w [17]

Answer:

42

Step-by-step explanation:

so you do 7 times 6 and you should get 42

8 0
3 years ago
20. A ball is dropped from a height of a little over 5 feet, and the height is measured at small intervals. The table below show
nekit [7.7K]

Step 1:

a) Write the quadratic model

a = -15.64

b = -1.24

c = 5.23

P(t)=-15.64t^2\text{ - 1.24t + 5.2}3

b) t = 0.30

\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}

c) t = 0.52 seconds

\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}

d) 0.30 is more likely to be relaible.

e)

\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}

5 0
1 year ago
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