Step-by-step explanation:
So you need to figure out how much it can print in 1 minute. You can find that out by dividing 480 by 4. You get 120 which you then multiple by 10.
So the answer is 1,200
Answer:
-x^2 - 11x -30
Step-by-step explanation:
Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.
ie: x(x) and x(6)
ie: x^2 + 6x
Then do the 5 times the things in the second parenthesis.
ie: 5(x) and 5(6)
ie: 5x + 30
Then add what you got from multiplying the first value to what you got from multiplying the second.
ie: x^2 + 11x + 30
This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.
ie: -x^2 - 11x -30
<u>Given</u>:
Two parallel lines are cut by a transversal and form a pair of alternate interior angles.
One angle measures (6x + 5)° and the other measure (7x - 4)°
We need to determine the measure of each angle.
<u>Value of x:</u>
Since, the two angles are alternate interior angles, then the two angles are congruent.
Thus, we have;
Thus, the value of x is 9.
<u>Measure of each angle:</u>
The measure of each angle can be determined by substituting in the measures of each angle.
Thus, we have;
Thus, the measure of each angle is 59°
Answer:
Step-by-step explanation:
The formula for determining the distance between two points on a straight line is expressed as
Distance = √(x2 - x1)² + (y2 - y1)²
Where
x2 represents final value of x on the horizontal axis
x1 represents initial value of x on the horizontal axis.
y2 represents final value of y on the vertical axis.
y1 represents initial value of y on the vertical axis.
From the points given,
x2 = 0
x1 = 9
y2 = - 33
y1 = 7
Therefore,
Distance = √(0 - 9)² + (- 33 - 7)²
Distance = √(- 9² + (- 40)² = √(81 + 1600) = √1681
Distance = 41
The formula determining the midpoint of a line is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
[(9 + 0) , (7 - 33)]
= (9, - 26]
