5/6-1/3
So you find the common denominator which is 6
5/6-2/6=3/6
Answer is 1/2
<span>5+x=12
Subtract 5 from both sides
Final Answer: x=7</span>
Answer:
x > 8
Step-by-step explanation:
5x > 40
40/5 = 8
x> 8
subtract 14
divide by 5
Answer:
The equation is ;
4x - y = 13
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
from what we are given, let us write the second equation in the general form
x + 4y = 10
4y = -x + 20
y = -1/4x + 20/4
y = -1/4x + 5
mathematically, when two lines are perpendicular, the product of their slope is -1
So for the second line with slope m2
m2 * -1/4 = -1
m2 = 4
So, using the general form, we have the equation as;
y = 4x + b
To get the value of b, we substitute the coordinates of the given point (3,-1)
-1 = 4(3) + b
-1 = 12 + b
b = -1-12
b = -13
So the equation is;
y = 4x - 13 which can be rewritten as;
4x-y = 13
Ok so we are gonna find the area or the rectangles on the object
Area of rectangle 1 = length x width
= 6 x 20
= 120 m square
Multiply the area of rectangle 1 by 2 because there are two same shaped rectangle.
120 x 2
=240 m square
Area of rectangle 2 = 30 x 6
= 180 m square
Multiply the area of rectangle 2 by 2 because there are two same shaped rectangle.
180 x 2
=360 m square
Area of rectangle 3 = 30 x 20
= 600 m square
Multiply the area of rectangle 3 by 2 because there are two same shaped rectangle.
600 x 2
=1200 m square
Then add all the area of the rectangles.
240 + 360 + 1200
= 1800 m square
Therefore the surface area is 1800 m square