Find an equation for the line with the given properties. Express the equation in slope-intercept form.
1 answer:
Answer:
or, y + 4 = m (x - 7) + c is the given equation.
Step-by-step explanation:
Here, the slope of the equation = -5
⇒m = -5
The given point is (7, -4)
⇒
Now, the general form of the equation is :
: c = arbitrary constant
So, the given equation becomes
or, y+ 4 = m (x - 7) + c is the given equation.
Here, m = the slope of the equation.
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Step-by-step explanation:
Use Pythagorean Theorem to find the missing side
a = q
b = e
c = c
So,
to
which equals
and
m∠Q + m∠E+ m∠C = 180° ( which is m∠A + m∠B + m∠C= 180°)
find all the sides so when they are all added together they equal 180°
Sorry, I couldn't give you the answer but I hope this helped?
Answer:
Step-by-step explanation:
Given the series,
∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)
So,
∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞
There are different types of test to show if a series converges or diverges
So, using Ratio test
Lim n → ∞ (a_n+1 / a_n)
Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))
Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))
Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)
Lim n→ ∞ (-1/2)^(n-n+1)
Lim n→ ∞ (-1/2)^1 = -1/2
Since the limit is less than 0, then, the series converge...
Sum to infinity
Using geometric progression formula
S∞ = a / 1 - r
Where
a is first term
r is common ratio
So, first term is
a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1
a_1 = -4
Common ratio r = a_2 / a_1
a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2
a_2 = 2
Then,
r = a_2 / a_1 = 2 / -4 = -½
S∞ = -4 / 1--½
S∞ = -4 / 1 + ½
S∞ = -4 / 3/2 = -4 × 2 / 3
S∞ = -8 / 3 = -2⅔
The sum to infinity is -2.67 or -2⅔
Check attachment for better understanding
Option A is the correct answer