Answer:
8 and 6
Step-by-step explanation:
Two numbers are such that their difference, their sum, and their product are to
each other as 1:7:24. Their product must equal what number?
:
Two numbers a & b
Let x = the multiplier
:
a - b = 1x
a + b = 7x
a * b = 24x
:
Add the 1st two equations
a - b = x
a + b = 7x
2a = 8x
a = 4x
or
x = .25a
:
a * b = 24x
Replace 24x; a = 4x therefore:
a * b = 6a
b = 6
;
Using the 1st equation
a - b = 1x
Replace b with 6 and x with .25a
a - 6 = .25a
a - .25a = 6
.75a = 6
a =
a = 8
:
Find the multiplier
a - b = x
8 - 6 = 2
:
Check this
a - b = 2 (1*2)
a + b = 14; (7*2)
a * b = 48: (24*2)
:
The numbers are 8 and 6; their products = 48
I think they both go into 10,000 bases of the calculations from the calculator on my phone
Answer:
Step-by-step explanation:
1+1=2
The equation of the line is y = 1/6x + 3
<h3>How to determine the equation?</h3>
The equation of the line is given as:
y = -6x - 14
The above equation has a slope of
m = -6
Let the slope of the other line be n.
So, we have:
n =-1/m ---- slope condition for perpendicular lines
So, we have:
n = 1/6
The equation is then calculated as:
y = n(x - x1) + y1
Where
(x1, y1) = (12,5)
This gives
y = 1/6(x - 12) + 5
Expand
y = 1/6x - 2 + 5
Evaluate the sum
y = 1/6x + 3
Hence, the equation of the line is y = 1/6x + 3
Read more about linear equations at:
brainly.com/question/14323743
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