Answer:
(m-5) (n-4)
Step-by-step explanation:
mn - 4m - 5n + 20
We will factor by grouping
mn -5n -4m +20
Factor an n out of the first 2 terms and a -4 out of the last 2 terms
n (m-5) -4(m-5)
Now factor out a m-5
(m-5) (n-4)
Answer:
22.2710574513
Step-by-step explanation:
Answer:
The dot product of (7,5) and (-5,4) is -15
Step-by-step explanation:
Given
(7,5) and (-5,4)
Required
Determine the dot product
Dot product is calculated using the following formula;

Let a = (7,5) and b = (-5,4);
The above formula becomes



Hence, the dot product of (7,5) and (-5,4) is -15
An equation of a line parallel to y=x-6, must have the same slope.
In this equation:
y=mx+b (slope-intercept form)
m is the slope:
The slope of the equation y=x-6 is m=1 (the number beside "x").
Now we have a point (-1,5) and the slope m=1.
Point-slope form of a line:
y-y₀=m(x-x₀)
so:
y-5=1(x+1)
answer: the equation of the line in point-slope form is :
y-5=1(x+1)
And the eqution of this line in slope-intercept form is:
y=x+6
y-5=(x+1)
y=x+1+5
y=x+6
The answer is 1,500 pounds are in 3/4 of a ton.
Hope this helps.