Margaret ran 2 more miles than Lynn. The sum of their distances is 20 miles.
1 answer:
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Answer:
The slope is
Step-by-step explanation:
The first equation, 8x - 9y = - 23
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = ( , 3) and (x₂, y₂ ) = (- 4, - 1 )
m = = (- 4)/-
=
partial equation is y = x + c
to find c substitute either of the 2 points into the partial equation
using (- 4, - 1 ), then
- 1 = - + c ⇒ c =
y = x +
← in slope- intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange the slope- intercept equation into this form
multiply through by 9
9y = 8x + 23 ( subtract 9y and 23 from both sides )
8x - 9y = - 23 in standard form
Answer:
7.4825 km or 7.48 km (rounded to nearest hundredth)
Step-by-step explanation:
<u>Ranch's measurements rounded up to the nearest hundredth:</u>
1st measurement = = 7.75 km
2nd measurement = = 7.25 km
3rd measurement = 7.3(recurring) = 7.33 km
4th measurement = 7 = 7.60
<u>The average of the four measurements is:</u>
(7.75 + 7.25 + 7.33 + 7.60) ÷ 4 = 7.4825 km or 7.48 km (rounded to nearest hundredth)