Answer:
The slopes are

Therefore, the equations are equations of <u> Perpendicular Lines .</u>
Step-by-step explanation:
Given:
......................Equation ( 1 )
..............Equation ( 2 )
To Find:
Slope of equation 1 = ?
Slope of equation 2 = ?
Solution:
On comparing with slope point form

Where,
m = Slope
c = y-intercept
We get
Step 1.
Slope of equation 1 = m1 = 
Step 2.
Slope of equation 1 = m2 = 
Step 3.
Product of Slopes = m1 × m2 = 
Product of Slopes = m1 × m2 = -1
Which is the condition for Perpendicular Lines
The slopes are

Therefore, the equations are equations of <u> Perpendicular Lines . </u>
Answer: 2nd step
Step-by-step explanation:
(-4s+5 )/-4 ≥ 16/-4
S-(5/4) ≥ -4
S ≥ -4+(5/4)
S ≥ 1/4
Answer:
Station 1: With: 106.25
Without: 72.5
Step-by-step explanation:
Answer:
13x^2 - 18x + 9
Step-by-step explanation:
<u>Step 1: Distribute the plus and minus signs</u>
(4x^2 - 5x + 6) + (9x^2 - 2x) - (11x - 3)
4x^2 - 5x + 6 + 9x^2 - 2x - 11x + 3
<u>Step 2: Combine like terms</u>
4x^2 <u>- 5x</u> <em>+ 6</em> + 9x^2 <u>- 2x</u> <u>- 11x</u> <em>+ 3</em>
13x^2 - 18x + 9
Answer: 13x^2 - 18x + 9
<u>Given</u>:
The given figure is a right triangle.
The measure of one of the angle is 37°
One of the length of the legs of the triangle is 11 cm
The length of the hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we have;

Simplifying, we get;



Rounding off to the nearest hundredth, we get;

Thus, the value of x is 13.77 cm.