This question uses trig
sin(55) = height/195
Therefore, height = 195sin(55) meters (just plug in calculator)
Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
- We know that the diagonals are perpendicular bisectors of each other.
As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
64 inches is greater than 5 feet.
Hope I helped! <3
Answer:
y = -
x - 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 )
Here m = -
, thus
y = -
x + c ← is the partial equation
To find c , substitute (4, - 5) into the partial equation
- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3
y = -
x - 3 ← equation of line
Answer:
second option
Step-by-step explanation:
Using the rule of radicals
×
⇔ 
Simplifying the radicals

= 
=
×
×
× 
= 3 ×
× x × 
= 3x
-------------------------------

= 
=
×
×
× 
= 2 ×
× x × 
= 2x
---------------------------------------
Thus
3 × 3x
- 2 × 2x
= 9x
- 4x
= 5x