Answer:
Shorter piece: 8ft
Longer piece: 19ft
Answer:
x = -4 ±√23.
Step-by-step explanation:
x^2 + 8x = 7
(x + 4)^2 - 16 = 7
(x + 4)^2 = 23
x + 4 = ±√23
x = -4 ±√23.
Answer: The correct answer is C.
Step-by-step explanation:
⇒
⇒ which is also,
⇒ So, is a square root of 23.
⇒ Then, it could be positive or negative one:
So that's why the answer would be C.
* Mark me the Brainliest:)) Hope this helps:)
Are there any pictures of the graphs?
Step-by-step explanation:
6y+4<8y-8
12<2y
y>6
To graph this, draw a dashed line along y=6. Then shade above that.
B. (8, 1), (-5, 4), (2, 1), (8, 2)
C. (2,4), (-5, 2), (8, 1), (-6, 2)
D.
(2,0).(-5, 3), (8, 1), (-5,5)
Answer: OPTION C
Step-by-step explanation:
A relation is a function when each input value has one and only output value.
For option A:
(2,4), (-5, 6), (2, 3), (-6, 2)
You can observe that the input value "2" has two output values. Then it is not a function.
For option B:
(8, 1), (-5, 4), (2, 1), (8, 2)
You can observe that the input value "8" has two output values. Then it is not a function.
For option C:
(2,4), (-5, 2), (8, 1), (-6, 2)
You can observe that each input value has only one output values. Then it is a function.
For option D:
(2,0).(-5, 3), (8, 1), (-5,5)
You can observe that the input value -5 has two output values. Then it is not a function.
For a set of data to be a function each x value has to have different y values.
A. (2,4), (-5, 6), (2, 3), (-6, 2)
B. (8, 1), (-5, 4), (2, 1), (8, 2)
D.(2,0).(-5, 3), (8, 1), (-5,5)
The bolded coordinates are the ones of each data set that makes it not a function. As you can see the x values all have different y values.
This leaves C. as the answer!
Hope this helped!
Answer:
The volume of the rectangular prism is 19.25 inches³.
Step-by-step explanation:
Given:
It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.
Now, to find the rectangular prism's volume.
We first find the volume of a cube to fill in the rectangular prism.
The side length of the cube =
Now, to get the volume of cube we put formula:
Thus, the volume of a cube is
Number of cubes = 154.
According to question, it takes 154 cubes to fill the rectangular prism.
So, to get the volume of prism we need to find the volume of 154 cubes.
Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:
Therefore, the volume of the rectangular prism is 19.25 inches³.