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?a. (-7, -1), 36 units
b. (7, 1), 36 units
c. (7, 1), 6 units
d. (-7, -1), 6 units
Answers
Answer:
option d is correct.
center = (-7, -1)
r = 6
Step-by-step explanation:
The general equation of the circle is given by;
where;
(h, k) is the center of the circle
r is the radius of the circle respectively.
As per the statement:
A circle is described by the equation
then;
Using the completing the square:
⇒
⇒
Add 36 to both sides we have;
On comparing with the general equation of circle:
we get;
h = -7 , k = -1 and
⇒
Therefore, the coordinate of the center of the circle is (-7, -1) and length of the radius of the circle is 6
(h,k) - the coordinates of the center
r - the radius
The center is (-7,-1), the length of the radius is 6 units.
The answer is D.
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A rock is dropped from the edge of a cliff. The equation below gives the distance, d, the rock travels in t seconds.d=5t^2 + 5tHow long does it take for the rock to travel 30 meters?A. 3 seconds B.5 secondsC.6 secondsD.2 secondspls !! help !!!
Answers
4P(y-k)=(x-h)^2
where (h,k) is vertex
P is distance from vertex to focus which is also equalt to distance from vertex to directix
we plot those points and see it opens up (don't cross directix)
P is positive
from 4 to 3 is a distace of 1
1/2=1/2
P=1/2
3+1/2=3.5
the vertex is (-1,3.5)
4(1/2)(y-3.5)=(x+1)^2
2(y-3.5)=(x+1)^2
put in vertex form (solve for y)
divide both sides by 2
y-3.5=(1/2)(x+1)^2
add 3.5
y=
Answers
Answers
For the first digit:
- The first digit can be any of the given digits (1, 2, 3, 4, 5, 6, 7, 8) except for 0, since we want the number to be less than 47999. So there are 8 options for the first digit.
For the remaining four digits:
- Each of these digits can be any of the given digits (0, 1, 2, 3, 4, 5, 6, 7, 8), since repetition is allowed. So there are 9 options for each of the remaining four digits.
Therefore, the total number of 5-digit numbers that can be formed is:
8 * 9 * 9 * 9 * 9 = 52,488
6^2 simplified
6^1 simplified
6^0 simplified
Type each answer to each problem
Answers
Answer:
6^3 is 216
6^2 is 36
6^1 is 6
6^0 is 1
Step-by-step explanation:
(4x3+2x+1)÷(x+1)
4x2−4x+6+5x+1
4x2+4x−6−5x+1
4x2−4x+6−5x+1
4x2+4x+6−5x+1
Answers
4x2+4x−6−5x+1 is the solution for (4x3+2x+1)÷(x+1)
What is Division?
A division is a process of splitting a specific amount into equal parts.
We need to solve,
(4x3+2x+1)÷(x+1)
We use Synthetic division, Synthetic division is a shorthand method for dividing a polynomial by a linear factor such as x + 3, and it's much simpler and faster.
Step 1: Set up the synthetic division.
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply by the value just written on the bottom row.
Step 4: Add the column created in step 3.
We get 4x2+4x−6−5x+1.
To learn more on Division click:
#SPJ2
Answer:
Step-by-step explanation:
(4x^3+2x+1)÷(x+1)
Using synthetic division is
4x^2-4x+6- 5/x+1
Answers
It grows 3 inches per week
Answer:
B. 3
Step-by-step explanation:
The constant of proportionality is 3 because every week, the tree grows 3 more inches at a constant rate. The increase amount doesn't change. It's constantly growing by 3 inches.
I hope this helps!