[x-1]=5x+10
We have two equations:
1) x-1=5x+10
x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4
2) x-1=-(5x+10)
x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2
we have two possible solutions:
solution₁; x=-11/4
solution₂: x=-3/2
we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4 - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4 + 10
[-15/4]=(-55+40) /4
15/4≠-15/4 This solution don´t work.
2) x=-3/2
[x-1]=5x+10
[-3/2 - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2 + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.
Therefore:
Answer: x=-3/2.
since line AB and CD make all right angles (given) angles 6+7+8 will equal 90 degrees.
According to the verticle angles rule:
angle 2 is equal to angle 6
angle 3 is equal to angle 7
angle 4 is equal to angle 8.
which proves that angle 2+4+7=90 degrees
This question is incomplete
Complete Question
Consider greenhouse A with floor dimensions w = 16 feet , l = 18 feet.
A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?
Answer:
96 cubic feet
Step-by-step explanation:
The volume of the floor of the green house = Length × Width × Height
We convert the dimensions in feet to inches
1 foot = 12 inches
For width
1 foot = 12 inches
16 feet = x
Cross Multiply
x = 16 × 12 inches
x = 192 inches
For length
1 foot = 12 inches
18 feet = x
Cross Multiply
x = 18 × 12 inches
x = 216 inches
The height or depth = 4 inches deep
Hence,
Volume = 192 inches × 216 inches × 4 inches
= 165888 cubic inches
From cubic inches to cubic feet
1 cubic inches = 0.000578704 cubic foot
165888 cubic inches = x
Cross Multiply
x = 16588 × 0.000578704 cubic foot
x = 96 cubic feet
Therefore, 96 cubic feet of concrete is needed for the floor
Answer:
40
Step-by-step explanation:
4x2=8
8x5=40
