Answer: Distance between O and the line 1 is 3 inches.
Explanation:
Since we have given that
Distance between point A and the line 1 = 10 inches
Distance between point B and the line 1 = 4 inches
Total length of segment AB is given by

Since O is midpoint of the line segment AB.
so, AO is given by

Now, Distance between O and the line 1 is given by

Hence, Distance between O and the line 1 is 3 inches.
Answer:
y- intercept = - 2.5
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 = 
with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)
m =
=
= - 4.5 , then
y = - 4.5x + c
To find c substitute either of the 2 points into the equation
Using (1, - 7), then
- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5
y- intercept c = - 2.5
Answer:
(x, y) = (2, -1.5)
Step-by-step explanation:
x + 2y = -1
5x - 4y = 16
<=>
(2)x + (2)2y = (2)(-1)
5x - 4y = 16
<=>
2x + 4y = -2
5x - 4y = 16
<=>
7x = 14
<=>
x = 2
(*)x + 2y = -1
=> 2 + 2y = -1
=> 2y = -3
=> y = -1.5
=> (x, y) = (2, -1.5)
I would split it up into simple shapes like squares and rectangles, find the area of those, then add it up
Answer is Rachel worked 3 2/3 hours
Step by step
Dominic worked 2 3/4 hours
Rachel worked (1 1/3) times (2 3/4)
1 1/3 x 2 3/4. Change into an improper fraction
4/3 x 11/4. multiply across
44/12
Simplify
= 3 2/3