The equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5 is 
<em><u>Solution:</u></em>
<em><u>The slope intercept form is given as:</u></em>
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Given that the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5
Given line is perpendicular to − 4 x − 3 y = − 5
− 4 x − 3 y = − 5
-3y = 4x - 5
3y = -4x + 5
On comparing the above equation with eqn 1, we get,
We know that product of slope of a line and slope of line perpendicular to it is -1
Given point is (-1, -2)
Now we have to find the equation of line passing through (-1, -2) with slope 
Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1
Thus the required equation of line is found
Answer: 10 , 13 , 14 , 15
Step-by-step explanation:
To find the perimeter of a quadrilateral , we will add all its side , that is
Perimeter = x + x + 3 + x + 4 + x + 5
That is
52 = x + x + 3 + x + 4 + x + 5
52 = 4x + 12
subtract 12 from both sides
40 = 4x
divide through by 4
x = 10
therefore , the lengths of the sides are
10 , 10+3 , 10 + 4 , 10 + 5 , that is
10 , 13 , 14 , 15
The pool can hold 65.84 ft³ of water
<u>Explanation:</u>
Given:
Shape of pool = octagonal
Base area of the pool = 22 ft²
Depth of the pool = 3 feet
Volume, V = ?
We know:
Area of octagon = 2 ( 1 + √2) a²
22 ft² = 2 ( 1 + √2 ) a²
a² = 
a² = 4.55
a = 2.132 ft
Side length of the octagon is 2.132 ft
We know:
Volume of octagon = 
Therefore, the pool can hold 65.84 ft³ of water
Answer:
The volume is 192.96
Step-by-step explanation:
You multiply length x width x height to find the volume.
you would spend $30
Step-by-step explanation:
if 20 calculator cost 120 then you would divide 20 by 120 which would give you 6 dollars per calculator then you would multiply that by 5 which would give you a $30 for five calculators.
