(3,-2)(-6,-8)
slope = (-8 - (-2) / (-6 - 3) = (-8 + 2) / -9 = -6 / -9 = 2/3
y - y1 = m(x - x1).....there are 2 possible answers for this
slope(m) = 2/3
using points (3,-2)
now we sub...pay close attention to ur signs
y - (-2) = 2/3(x - 3) =
y + 2 = 2/3(x - 3) <== here is one possible answer
y - y1 = m(x - x1)
slope(m) = 2/3
using points (-6,-8)
now we sub
y - (-8) = 2/3(x - (-6) =
y + 8 = 2/3(x + 6) <=== here is the other possible answer
The equation of the circle x² +y² – 8x – 6y + 21 = 0 is equal to the equation (x + 4)² + (y − 3)² = 2². Then the correct option is C.
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
x² + y² – 8x – 6y + 21 = 0
The equation can be written as
x² – 8x + 16 + y² – 6y + 9 = 4
(x + 4)² + (y − 3)² = 2²
Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.
More about the circle link is given below.
brainly.com/question/11833983
Answer:
Step-by-step explanation:
In order to find the surface area of a 3-dimensional figure, one must find the 2-dimensional area of all of its faces, then add up the values to find the surface area of the entire figure. The given prism is drawn out in the form of a net, thus, it is rather easy to find the area of each face, and add up the area to find the surface area.
The lateral surface area refers to the surface area of a figure, not including the base of the figure. In this case, the base is the largest rectangle: the one with the dimensions of the following length
Use the following formulas to find the surface area of each face:
Rectangle:
Triangle:
Add up all of these values to find the total surface area:
Answer:
Step-by-step explanation:
The given series is a geometric series because the consecutive terms differ by a common ratio. The formula for determining the sum of the first n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 3
r = 6/3 = 12/6 = 2
n = 15
Therefore, the sum of the first 15 terms, S15 is
S15 = (3 × 2^(15) - 1)/2 - 1
S15 = (3 × 32767)/1
S15 = 98301
The answer is D.
First solve for y.
You end up with:
y=-1/2x+3/2
Because they want a parallel line, the slope stays the same.
Our equation will look like
y=-1/2x+b
Now plug in the given coordinates
4=-1/2(6) + b
4=-3+b
b=7
Therefore, the equation of the line is
y = -1/2x + 7