Answer:
y = -1/2x + 3
Step-by-step explanation:
y - y₁ = m(x - x₁)
⇒ y - 0 = -1/2(x - 6)
⇒ y = -1/2x + 3
The reciprocal of -1/3 is -3/1
and the reciprocal of 4/1 is 1/4
Lets set the two numbers as 'a' and 'b'
Now let us set up some equations based on the information:
- sum of two numbers 49 --> a + b = 49
- difference of the two numbers is 15 --> a -b =15
Equations
a + b = 49 -- equation 1
a - b = 15 -- equation 2
Solve:
(equation 1) + (equation 2)
2a = 64
a = 32 -- equation 3
(equation 3)'s value of a into (equation 2)
32 - b = 15
b = 17
The products of 'a' and 'b' is 544
Hope that helps!
Answer:
(-5 , 0) and (6 , 0)
Step-by-step explanation:
In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
we need to solve for x the equation (x-6)(x+5) = 0
(x-6)(x+5) = 0
⇌
x - 6 = 0 or x + 5 = 0
⇌
x = 6 or x = -5
therefore
the coordinates are :
(-5 , 0) and (6 , 0)
__________________________
:)
Answer:
Step-by-step explanation:
You know these ordered pairs are considered a function, because the x intercepts do not repeat themselves. In other words, each input numbers are different. If these ordered pairs were not a function, the x intercept would be repeating. For example, 22 is already a x intercept, (22,4), if 22 was put in as another x intercept like,(22,1) these ordered pairs would not be a function.