Answer:
Step-by-step explanation:
hello :
15r² – 6r – 3 = -2r
15r² – 6r – 3 +2r =0
15r²-4r -3 =0
delta =b² -4ac a=15 b=-4 c=-3
delta =(-4)² - 4(15)(-3)=196 = 14²
r1 = (-b - √delta ) /2a = (4-14)/30 = -10/30 = -2/6 = -1/3
r2 = (-b + √delta ) /2a = (4+14)/30 = 18/30 = 3/5
Use the quadratic formula, x=

(don't know how to type the "-"sign in the formula, so there is only the "+" in the formula)
in this case, a=1, c=34, b is unknown
from the roots, we can tell that -b+

=2(5+3i)=10+6i
Note: the original equation already give b as -b, so -(-b)=10, b=10
using b^2-4ac=(6I)^2,
b^2-4*34=-36
b^2=100
you will also get b=10
Answer:
a) m∠FGH= 28°
b) m∠HGI = 28°
c) m ∠FGI = 56°
Step-by-step explanation:
GH bisects ∠FGI. So, ∠FGH = ∠HGI
5x - 2 = 6x -8
5x - 6x = 2 - 8
-x = - 6
x = 6
a) m∠FGH = 5x - 2 = 5 * 6 - 2 = 30 - 2 = 28°
b) m∠HGI = 6x - 8 = 6 * 6 - 8 = 36 - 8 = 28°
c) m ∠FGI = m∠FGH + m∠HGI = 28° +28° = 56°
multiply the numbers together to get the total
100* 12.065 =$1206.50
Answer:

Step-by-step explanation:
Use the slope-intercept form:

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:


To find the slope, take any two points from the line:

Use the slope formula for when you have two points:

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:


Simplify parentheses (two negatives makes a positive):


Simplify (two negatives make a positive):

The slope is
and the y-intercept is
. Insert these into the equation:

Finito.