Answer:
slope = - 
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 )
Given
2x + 3y = - 12 ( subtract 2x from both sides )
3y = - 2x - 12 ( divide all terms by 3 )
y = -
x - 4 ← in slope- intercept form
with slope m = - 
Answer:
The equation of a line that runs through (-6,2) and is parallel to a line with a slope of (-1/4) is x + 4y - 2 = 0
Step-by-step explanation:
Slope of the parallel equation is m 1 = (-1/4)
<em>If the two liner are parallel the, slope of both lines are equal.</em>
⇒The slope of the equation of line = m2 = m1 = -(1/4)
The point (x0, y0) = (-6,2)
Now, by THE POINT SLOPE FORMULA: The equation of a line is given as
( y - y0) = m (x -x0)
Now, here the equation of line is given as:

or, 4y - 8 + x + 6 = 0
or, x + 4y - 2 = 0
Hence, the required line equation is x + 4y - 2 = 0
Answer:
5.42$
Step-by-step explanation:
Please mark brainliest?
Answer: After 10 more years i.e. after 30 years, the population of the town will be 100626.57 approx.
Step-by-step explanation:
Since we have given that
Initial population 20 years ago = 10,000
Rate of growth = 8%
Number of years = 10+20 = 30 years
According to question, we will use "Compound interest":

Hence, After 10 more years i.e. after 30 years, the population of the town will be 100626.57 approx.
Answer:
Option d. 18.7 units
Step-by-step explanation:
step 1
we have
B=17° 55'=17+55/60=17.92°
C=98° 15'=98+15/60=98.25°
step 2
Find the measure of angle A
∠A+∠B+∠C=180°
substitute
∠A+17.92°+98.25°=180°
∠A=180°-(17.92°+98.25°)=63.83°
step 3
Applying the law of sines
c/sin(C)=a/sin(A)
substitute the values
c/sin(98.25°)=17/sin(63.83°)
c=sin(98.25°)*17/sin(63.83°)
c=18.7 units