Answer:
The slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Step-by-step explanation:
From the line equation, let us take two points
Finding the slope between two points
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
Thus, the slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Answer:
Isosceles Triangle; Acute Triangle
Step-by-step explanation:
Review your definitions of the different types of triangles:
acute triangle- a triangle that has three acute (less than 90 degrees) angles
obtuse triangle- a triangle that has an obtuse (greater than 90 degrees) angle.
right triangle- a triangle that had one right (90 degrees) angles
isosceles triangle- a triangle with two congruent sides and one unique side and angle.
equilateral triangle- a triangle with three congruent sides and three congruent angles.
scalene triangle- a triangle with no congruent sides and no congruent angles.
With these definitions, we can classify ΔPQR as an isosceles acute triangle.
Answer:
B -27
Step-by-step explanation:
7(-5)+ 6(2)-4
-35 +12-4
-23-4
-27
Answer:
a) is demonstrated below, b) T=1.462N, c) T=14.6N
Step-by-step explanation:
a) Refer to the attached diagram.
Since the bird is standing in the middle of the line and each half is a straight line, Ta=Tb, so we will call the tension T=Ta=Tb and Tay=Tby
By trigonometry Tay=Ta·Sinθ
Since the system is in equilibrium W=Tay+Tby then:
W=2·Tay=2·Ta·Sinθ=2·T·Sinθ
Since W=mg, being m the mass of the bird and g, gravity:
Isolating T, we demonstrate that
b) Replacing θ=5º, m=0.026kg and g=9.8m/s² in the last equation, we can get the tension in Newtons:
c) With θ=0.5º
