Answer:
Step-by-step explanation: f(x)=(-3,0), (-0.5,-6.25), (0,-6), (2,0);
When added, these two angles are supplementary, meaning that their sum is 180. This means that we can do the following to find x, and eventually DBC:
3x+67+4x+50=180
Simplifies to:
7x+117=180
Then by the Subtraction Prop. of Equality:
7x=63
Then divide by 7 on both sides to get that x=9.
We then substitute 9 into angle DBC.
4(9)+50
=36+50
DBC=86
:)
Answer:
<em>Dimensions : 1 by 1 by 2 feet,</em>
<em>Volume ⇒ 2 ft^3</em>
Step-by-step explanation:
Here, I can only assume that this rectangular prism is assigned to have dimensions 1 foot by 1 foot by 2 feet;
I can tell that these types of boxes have height and width as the same lengths, so given that;
<em>Dimensions : 1 by 1 by 2 feet,</em>
Volume ⇒ 1 * 1 * 2 ( by definition ) ⇒ 2 ft^3
In other words, <em>Volume ⇒ 2 ft^3</em>
Well, we need to consider the x and y coordinates of the giben points, and check wether the y coordinate is greater than twice the x coordinate minus 1 (i.e. 2x-1):
- For the first point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is 2, and 2>-1. So, this point is a solution.
- For the second point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 2, and 2<7. So, this point is not a solution.
- For the third point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is -10, and -10<-1. So, this point is not a solution.
- For the fourth point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 1, and 1<7. So, this point is not a solution.
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
We can let the variables A and B stand for the length in inches of fish A and fish B, respectively.
If we assume each person bought fish having a total length of 1 inch per gallon of aquarium, then we can write equations ...
... 3A +2B = 33 . . . . . total length of Marta's fish
... 3A +4B = 45 . . . . . total length of Hank's fish
Subtracting the first equation from the second, we get ...
... 2B = 12
... B = 6 . . . . . divide by 2
Using this value in the first equation, we have ...
... 3A + 2·6 = 33
... 3A = 21 . . . . . . . . subtract 12
... A = 7 . . . . . . . . . . divide by 3
Fish A is 7 inches long; fish B is 6 inches long.
