Answer:
slope = 5
Step-by-step explanation:
The equation of a lin in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 3 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes , then
The slope of a line parallel to y = 5x + 3 is 5
Answer:
a) TO = OP = 13
b) Height = 12
Step-by-step explanation:
a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.
Perimeter of triangle TOP = 36 cm
=> TO + OP + TP = 36
=> x + x + 10 = 36
=> 2x = 26
=> x = 13
=> TO = OP = 13 cm.
b) Apply Pythagorean theorem:
height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)
or
height^2 + (10/2)^2 = 13^2
or
height^2 + 25 = 169
or
height^2 = 144
or
height = 12
Hope this helps!
Answer:
Circumference= 
Step-by-step explanation:
Diameter of the circle= 14 feet
Radius of the circle= 14/2= 7 feet
Circumference of the circle= 
As, 
Circumference:
The circumference of the circle with the radius= 7 feet is
The formula for this ( horizontal circular orbit with the origin at the center) is
L = mvr
Answer:
D. 1
Step-by-step explanation:
We have the expression, 
We get, eliminating the cosecant function,
As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,
i.e. 
i.e. 
Since, we know that, 
Thus,
So, after simplifying, we get that the result is 1.
Hence, option D is correct.
