Answer:
- 3
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 = - 3x + 9 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + 4 ← is the equation of a parallel line
Answer:
Step-by-step explanation:
A] <span>A remote-control airplane descends at a rate of 2 feet per second. After 3 seconds it is 67 feet above the ground.
the point slope equation will be given as follows:
y-y1=m(x-x1)
where:
slope,m=2 ft/sec
(x1,y1)=(3,67)
thus plugging in the values in the formula, we obtain the point slope equation as follow:
y-67=2(x-3)
Answer:
</span>y-67=2(x-3)
b]The height of the plane after 8 seconds will be:
x=8 sec
but:
y-67=2(x-3)
substituting x=8 we get:
y-67=2(8-3)
y-67=2(5)
y=10+67
y=77
thus the height after 8 seconds is 77 ft
Answer:
<h2>Square.</h2>
Step-by-step explanation:
The parallelogram that has those characteristics is the square.
The square is perfectly symmetric, both diagonals are congruent, because all sides of the square are congruent. Also, the diagonals bisects each angle of the square, creating triangles. Those triangles have 45° angles at their base and the third-angle is 90°, that is, it's a right triangle, where that right angle is between diagonals.
Therefore, a square has congruent and perpendicular diagonals, they have the same midpoint, and their slopes are opposite reciprocals of each other because that's the definition of perpendicularity.
Therefore, the right answer is square.
