Answer:
Its y=_x+35
Step-by-step explanation:
Sorry I cant help with the slope bc i cant see the bottom numbers so just look at the example
(10,2) (20,4)
4-2/20-10=2/10
2/10=1/5
so the answer would be y=1/5x+35
Answer:
3.5 cubic units
Step-by-step explanation:
First, find the volume of one cube
Use the cube volume formula, V = s³, where s is the side length
V = (1/2)³
V = 1/8 cubic units
Now, find the volume of the prism by multiplying this by 28, since there are 28 cubes
28(1/8)
= 3.5
So, the volume of the prism is 3.5 cubic units
Answer: 
Step-by-step explanation:
The <u>correct answer</u> is:
You can map ABC to A'B'C' by translating it 6 units left and reflecting it across the x-axis, which is a series of rigid motions.
Explanation:
In ABC, the coordinates are:
A(1, -3)
B(5, 3)
C(4, -1).
In A'B'C', the coordinates are:
A'(-5, 3)
B'(-1, -3)
C'(-2, 1)
Each point is mapped to its image:
A(1, -3)→A'(-5, 3)
B(5, 3)→B'(-1, -3)
C(4, -1)→C'(-2, 1)
Comparing the x-coordinates in the pre-image and image, we notice that the image has an x-coordinate that is 6 less than that of the pre-image:
1-6 = -5
5-6 = -1
4-6 = -2
This means that the figure must be translated 6 units left; that is the only way to have this change on the pre-image to form the image.
Comparing the y-coordinates of the pre-image with those of the image, we notice that they are negated:
-(-3) = 3
-(3) = -3
-(-1) = 1
This means the pre-image was reflected across the x-axis; this is the only way to negate the y-coordinate and not change the x-coordinate.
These are rigid motions because they do not change the shape or size, they simply move it and change its orientation.
Let your number be X. Alex's number will be your number, plus 2x, plus 11. (x+2x+11) = 5.
From there we will have x+2x, which is 3x. So now we have 3x+11 = 5.
Subtract 11 from both sides, leaving us with 3x = -6.
From there we need to divide both sides by 3. Leaving us with x = -2.
Now that we know your number (-2), we can find Alex's number.
So from the word problem, we know that Alex's number is 11 more than twice your number. (2*-2+11) = 5.
So we have 2 times -2, which is -4. -4 plus 11 is 7.
To check our answer we need to add both of these two numbers together and see if they equal 5.
So 7-2 (or -2+7) will be 5. Confirming Alex's number to be 7.