Answer:
the second choice is correct
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 )
y = 
x - 9 is in this form
with slope m =
• Parallel lines have equal slopes, hence
y = x + c ← is the partial equation of the parallel line
To find c substitute (- 8, - 18) into the partial equation
- 18 = - 6 + c ⇒ c = - 18 + 6 = - 12
y = x - 12 ← equation of parallel line
Answer:
z = 10
Step-by-step explanation:
the steps have been attached above
Answer:
It'll take him 1/4 hours to decorate the two signs.
Step-by-step explanation:
In order to know how long Roberto will take to decorate all the signs we need to find their surface area, since they're rectangular their area is given by the product of their dimensions.
First sign:
area1 = (2/3)*(1/4) = 2/12 = 1/6 foot²
Second sign:
area2 = (1/2)*(1/3) = 1/6 foot²
The total area he has to paint is the sum of their individual areas, so we have:
total area = area1 + area2 = 1/6 + 1/6 = 2/6 = 1/3 foot²
To find out how long he'll take to decorate this area we can use a rule of three as shown bellow:
3/4 hour -> 1 foot²
x hour -> 1/3 foot²
x = (3/4)*(1/3) = 1/4 hours
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The answer would be 8x^4 + 16x^3y - 48x^2y^2
In order to find this, multiply 8x^2 by each term individually.
8x^2 * x^2 = 8x^4
8x^2 * 2xy = 16 x^3y
8x^2 * -6y^2 = -48x^2y^2
Now you can put them all in a row.
8x^4 + 16x^3y - 48x^2y^2
