Answer:
y = -x + 2
Step-by-step explanation:
Angle between these lines = 90°
Angle between BC and the angle bisector BD = 45°
Since, m(∠DBE) = 90° + 45° = 135°
Therefore, slope of the angle bisector BD = tan(90° + 45°)
= -tan(45)°
= -1
Let the equation of the angle bisector which passes through (x', y') and slope = m,
y - y' = m(x - x')
Where m = slope of the line = (-1)
Since, the angle bisector passes through a point B(-1, 3),
Equation of BD will be,
y - 3 = (-1)(x + 1)
y - 3 = -x - 1
y = -x - 1 + 3
y = -x + 2
Lets say the price of a shirt is X, then the price of sweater is X + 3.95
Since a total cost is 71.65 for 3 shirts and 2 sweaters. 71.65 = (3*X) + 2*(X+3.95)
So, 71.65 = 3X + 2X + 7.9
71.65 - 7.9 = 5X
12.75 = X. Therefore, the price of a shirt is 12.75 dollars, and the price of a sweater is 16.7 dollars (12.75 + 3.95)
**
Answer:
Number of cm= 40 cm
Step-by-step explanation:
Giving the following information:
3 cm equals 45 kilometers
1 cm= 45 /3 = 15km
<u>We need to determine how many centimeters represents 600 km. We will use the following formula:</u>
<u></u>
Number of cm= total km / km per one cm
Number of cm= 600 / 15
Number of cm= 40 cm
Answer:
y = -1/11 + 5
Step-by-step explanation:
1x + 11y = 55
-1x -1x
11y = -1x + 55
/11 /11
y = -1/11 + 5
Hope this helps!
Answer:9x-9=7 or 9x-9=-7
Step-by-step explanation:
An absolute value is the distance from zero, therefore the answer can not be negative. In this case, 9x-9=7 and 9x-9=-7 both work, because 7 and -7 are the same distance from zero.