Answer:
y = (x + 6)² - 1
Step-by-step explanation:
So there are two ways of doing it, completing the square or partial factoring (which is what i prefer and will show)
so we will get x first:
x^2+12x
We are factoring x
x(x+12)
Now you do x=-12/2
x=-6
Now that you have x, you plg that back into the equation to get y
y= -6^2 +12(-6) +35
= 36-36+35
=-1
Put into vertex form
y = (x + 6)² - 1
The lateral area is the area around, the bases are the circles so the lateral area is the area of the rectangle
we just need the legnth of the rectangle which is the circumfernece of the circle
C=pid
d=12
C=12pi
area=lw
aera=12pi*15
area=180pi yd^2
A percent is just a fraction.
So take your two numbers and make a fraction with them ... 18/30 .
18 is 18/30 of 30 .
Now, to find the percent that's equivalent to 18/30 ,
first do the division:
18/30 = 0.6 .
Now, to change a decimal into percent,
move the decimal point two places that way ==> .
0.6 = 60% .
18 is 60% of 30 .
The expression √(5 - n)² is a rational expression, and the simplified expression of √(5 - n)² is 5 - n
<h3>How to simplify the expression?</h3>
The expression is given as:
√(5 - n)²
Where n < 5
The inequality n < 5 has no effect on the expression.
So, we have:
√(5 - n)² = 5 - n
Hence, the simplified expression of √(5 - n)² is 5 - n
Read more about rational expressions at:
brainly.com/question/1851758
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Answer:
y = 
x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )
m = 
= 
= 
= , then
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (2, 12 ) , then
12 = 3 + c ⇒ c = 12 - 3 = 9
y = x + 9 ← equation of line
