To find the line, you need to use the point-slope formula because you're given both the slope and a point.
y - y₁ = m(x - x₁)
m = -2/5
x₁ = 10
y₁ = 3
y - 3 = -2/5(x - 10)
y - 3 = -2/5x + 4
y = -2/5x + 1
y = -2/5x + 1 is the line.
Answer:
Correct Answer is B. 2.4 Units
Step-by-step explanation:
The missing picture in question is attached.
The Law of Sines is given as:
Where,
a,b,c are the length of sides of triangle
A,B,C are the angles between the two sides of triangle
According to the picture attached, we have ΔRQS,
Let,
r = 3.1 units
R = 80°
s = 2.4 units
S = S
q = RS
Q = Q
Using law of Sines:
°
Since, triangle is constitute of total 180°, hence,
∠Q + ∠R + ∠S = 180°
∠Q + 80 + 49.68 = 180
∠Q = 180 - 80 - 49.68
∠Q = 50.32°
To find line segment RS, again use law of sines:
It is a composite number and it is written as 7*3*5*2
Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.