Given are the two points (-10,0) and (-8,20), and equation of the line as y=mx+b.
We can plug the given values in the equation as follows :-
0 = -10m + b .........equation(1)
20 = -8m + b .........equation(2)
Subtracting equation(1) from equation(2)
20 - 0 = (-8m + b) - (-10m + b)
20 = -8m + b + 10m - b
20 = 10m - 8m
20 = 2m
m = 10
Plugging m=10 in the equation(1)
0 = -10(10) + b
0 = -100 + b
b = 100
So final answer is b = 100.
Answer:
Distance between points (5, -3) and (0, 2) is √50 or 7.07
Step-by-step explanation:
We need to find distance between two points (5,-3) and (0,2)
The distance formula used is:

here
x₁= 5, y₁=-3, x₂=0 and y₂=2
Putting values in the formula:

So, distance between points (5, -3) and (0, 2) is √50 or 7.07
The general form for a number written in scientific notation would be a x 10^n. <span> where a must be between 1 and 10, and n must be an integer. This type of form is useful when dealing with very large numbers or very small numbers. Hope this answers the question. Have a nice day.</span>
SRT = 20 => STR = 20.
Since STR and STU are supplementary angles, STU = 180 - STR = 180 - 20 = 160, means x = 40.
Answer:
Step-by-step explanation:
In the given triangle
With reference angle A
perpendicular (P) = 3
hypotenuse (h) = 5
So sin A = p/h = 3/5
and
With reference angle C
perpendicular (p)= 4
hypotenuse (h) = 5
Sin C = p/h = 4/5
hope it helps :)