Answer:
y = - 
x - 5
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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (6, - 7)
m = 
= 
= -
Note the line crosses the y- axis at (0, - 5) ⇒ c = - 5
y = - x - 5 ← equation of line
Answer:
3.5
Step-by-step explanation:
This can be calculatdd by applyinthe g Pythagorean theorem
a^2 + b^2= c^2
12^2 + x^2= 12.5^2
144+ x^2= 156.25
x^2= 156.25-144
x^2= 12.25
x= √12.25
x= 3.5
Hence the distance between the ladder and the house is 3.5 ft
Answer:
Step-by-step explanation:
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
The formula for Simple Interest = PRT
From above question, we have to find the Principal
The simple interest on a certain sum for 5years at 8% per annum is Rs200
Hence,
R = 8%
T = 5 years
Rs 200 = P × 8% × 5
P = 200/8% × 5
P = Rs500
The principal = Rs 500
The simple interest on the same sum for 3years and 4months at 18% per annum.
Simple Interest = PRT
R = 18%
T = 3 years and 4 months
Converted to years
T = 3 + (4 months/12 months)
T = 3.33 years
Hence,
Simple Interest = Rs 500 × 18% × 3.33 years
= Rs 299.7
Answer:
Yi Xing invented the astronomical clock and introduced some new methods of interpolation in mathematics.
Step-by-step explanation:
Yi Xing was both an astronomer and a mathematician during the era. He invented the astronomical clock which was more accurate than the initial water and Sun's clock in use.
Furthermore, Yi Xing also discovered some new methods of interpolation in mathematics of which the meaning and interpretation became controversial. Interpolation is a method majorly in mathematics that can be used to estimate a value of a function from its discrete values. It involves first order differences and second order differences.
Also, Yi Xing was able to design a calendar in A.D. 727.
Answer:
C .56
Step-by-step explanation:
well thier are 5 days that are less then 3 days and theirs 9 days in total so you would do 5/9 to get the chance of it being less then 3 days.
5/6 = .555556
