Answer:
X-intercept = -3 and y-intercept = 6
Step-by-step explanation:
We can start off by isolating the y term. To do that, we must add 2y to both sides to get
Now, we must add 12 to both sides and the y term will be all alone on the right side:
Now, to have only y on the right side, we must divide by 2 to get:
In slope-intercept form, b is the y-intercept, and 'b' in this equation is 6. We have our y-intercept.
To find our x-intercept, y must be equal to zero. We can plug in that value for y and solve for x:
We can start off by subtracting 6 from both sides to get:
We can then divide both sides to get 
when y is equal to 0. Thus, we have our x-intercept.
Answer:
b. (10,10,0)
Step-by-step explanation:
r+v can be evaluated if the vectors/matrices have the same dimensions.
These do. They are both 1 by 3 vectors.
Just add first to first in each.
Just add second to second in each.
Just add third to third in each.
Example:
(5,-5,6)+(1,2,3)
=(5+1,-5+2,6+3)
=(6,-3,9)
Done!
In general, (a,b,c)+(r,s,t)=(a+r,b+s,c+t).
r+v
=(7,3,9)+(3,7,-9)
=(7+3,3+7,9+-9)
=(10,10,0)
Done!
Answer:
b
Step-by-step explanation:
in order for it to be a function the x values cannot repeat.
in answer b the x value 6 repeats twice therefore it is not a function
Answer:
The answer is (C)
Figure A was dilated by a scale factor of 2, with point N as a center of dilation, and then rotated about 90° counterclockwise about N to form figure B
Step-by-step explanation:
∵ Figure B larger than figure A
∴ The scale factor > 1
∵ Figure A is in the first quadrant and figure B is in the second
quadrant and the horizontal side in A become vertical side in B
∴ Figure A rotated 90° anticlockwise
∴ The answer is C
