-5x + x + 9 = -4x + 12
-4x+9= -4x+12
move +9 to the other side
sign changes from +9 to -9
-4x+9-9= -4x+12-9
-4x= -4x+3
move -4x to the left side
sign changes from -4x to +4x
-4x+4x= -4x+4x+3
0= 0+3
0= 3
Answer: no solution
Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².
<h3>What is the Surface Area of the Composite Figure?</h3>
Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.
Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².
Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²
Area of the surface both share together = 2(16)(5) = 160 m²
Total surface area = 276 + 328 - 160 = 444 m².
Learn more about the surface area of triangular prism on:
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If an item has been discounted 30%, then it is currently worth 70% of the original price. This tells us that $49 is 70% of the original price. Therefore, you need to divide $49 by 70% to get your answer (you have to work backwards; remember that you would have multiplied the original number by 0.7 to get 49):
49÷(70/100)= $70
Therefore, the price of the original product was $70
Answer:
(5,4)
Step-by-step explanation:
multiply each equation by the value that makes the coefficients of x opposite
(-1) · (4x + 6y) = (-1) · 44
4x + 2y = 28
simplify
-4x - 6y = -44
4x + 2y = 28
add the two equations together to eliminate x from the system
-4x - 6y = -44
<u>+ 4x + 2y = 28</u>
-4y = -16
divide each term by -4
y = 4
substitute the value for y into one of the original equations, then solve for x
-4x - 6y = -44
-4x - 6(4) = -44
-4x - 24 = -44
+ 24 + 24
-4x = -20
divide by -4
x = 5
so, since x = 5 and y = 4 ....
the solution to the independent system of equations can be represented as a point.
(5,4)
hope this helps! :)
Ac - 5ad - 5bc + 25bd = a(c - 5d) - 5b(c - 5d) = (c - 5d)(a - 5b)
