Slope intercept form is y = mx+b, so you can see that you set the equation equal to y. So if the equation is 2y+3x=6, then you solve for y to put it in slope intercept form.
2y + 3x = 6
2y = -3x + 6
y = (-3/2)x + 3
Keep in mind that the term with the x has to be before the constant, so it can't be y = 3 -(3/2)x
And by the way m is the slope and b is y-intercept, so in <span>y = (-3/2)x + 3, -3/2 is slope and (0,3) is y-intercept</span>
1) B
2) C
3) D
4) A
5) A
6) D (Not completely sure, check in case w/ another person)
Answer:
<em>12,000 liters</em>
Step-by-step explanation:
<u>The Volume of Rectangular Prism</u>
Given a rectangular prism of dimensions x, y, and z, the volume is calculated as:
V = xyz
The tank shown in the figure has a base of 5 m by 2 m. The oil has a height of 1.2 m. The volume of oil is:
V = 5 m * 2 m * 1.2 m
V = 12 cubic m
Since 1 cubic m is equivalent to 1,000 liters, the volume of oil is 12*1,000 = 12,000 liters.
So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...
(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13
Now we can substitute 13 into each expression to find the value of each angle...
2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees
3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees
9x =
9(13) = 117 degrees
So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.
The smallest is 27 degrees
** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).
Answer:
The value of expression 2x + 6 at x = 4 is 14 .
Option (C) is correct .
Step-by-step explanation:
As given the expression in the question be as follow .
= 2x + 6
Put x = 4 in the above equation
= 2 × 4 + 6
Simplify the above
= 8 + 6
= 14
Therefore the value of expression 2x + 6 at x = 4 is 14 .
Option (C) is correct .