Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-intercept
Part 1) we have
(10,-3) (5,-2)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
<em>Find the value of b</em>
we have
substitute in the equation and solve for b
substitute
Part 2) we have
(6,2) (7,5)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
<em>Find the value of b</em>
we have
substitute in the equation and solve for b
substitute
Part 3) we have
(4,4) (-7,4)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
This is a horizontal line (parallel to the x-axis)
The y-intercept b is equal to the y-coordinate
<em>therefore</em>
The equation of the line is
That's 33/100 and can't be simplified. If you had said that the 3s keep going and never end, then it would have been 1/3. But as written, it's just 33/100.
Answer:
1
-------------
(x+2)(x-4)
Step-by-step explanation:
x+4 x+3
------------- * --------------
x^2+5x+6 x^2 -16
Factor
x+4 x+3
------------- * --------------
(x+3)(x+2) (x+4)(x-4)
Cancel like terms
1 1
------------- * --------------
(1)(x+2) (1)(x-4)
1
------------- x cannot equal -3, -4, -2, 4
(x+2)(x-4)
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
Answer:
The number is 4
Step-by-step explanation:
Write algebraically:
n-5=-1
n=4
The number is 4
