4m-10m=5-2
-6m=3
m=-3/6
M=-1/2
Now let's check if this is correct-6•(-1/2)=6/1•1/2=6/2=3 ,yes correct I think
Answer:
x = 15
Step-by-step explanation:
given that y varies directly with x
mathematically we can express this as
y = k x , where k is a constant
step 1: find k
given x = 3 and y = 21
y = k x
21 = k (3)
k = 7
hence the equation becomes
y = 7 x
when y = 105,
105 = 7x
x = 105 / 7 = 15
Answer:
132cm²
Step-by-step explanation:
You can find the area of the entire shape by calculating the area of seperate smaller shapes.
You can split them up into 2 rectangles, one with a base of 7cm and height of 4cm, and another one with a base of 7cm and height of 8cm. You also have 2 triangles, with a base of 19cm - 7cm / 2 = 6cm since it is the entire bottom line subtracted by the top; they will have a height of 8cm each.
To calculate the rectangles areas, simply do length x width, which are:
4cm x 7cm = 28cm²
8cm x 7cm = 56cm²
Next, since the triangles are similar in measurements, instead of doing the normal calculation to find the area of a triangle, you can do base times height again, which is:
6cm x 8cm = 48cm²
Add all the answers together to get the final area, which is 132cm².
Factor 3 out of 12:
3x^3y + 3 • 4xy - 9x^2y - 36y
Factor out 3 out of -9:
3x^3y + 3(4xy) + 3 • -3x^2y - 36y
Factor 3 out of -36:
3(x^3y) + 3(4x7) + 3(-3x^2y) + 3(-12)y
Factor 3 out of 3 (x^3y) + 3(-12y):
3(x^2y + 4xy) + 3(-3x^2y) + 3(-12y)
Factor 3 out of 3 (x^3y + 4xy) + 3(-3x^2y):
3(x^2y + 4xy - 3x^2y) + 3(-12y)
Factor 3 out of
3 (x^3y + 4xy - 3x^2y) + 3 (-12y):
3 (x^3y + 4xy - 3x^2y - 12y)
