Answer:
zero slope
y-intercept at y = -4
Step-by-step explanation:
-4y = 16 (divide both sides by -4)
y = 16 / (-4)
y = -4
y = -4 represents a horizontal line that is parallel to the x-axis that crosses the y-axis at y = -4
hence the slope of a horizontal line is zero, and the y-intercept is -4
The correct answer is 21 and 9. 21+9=30 and 21-9=12. Hope this helps.
Answer:

Step-by-step explanation:
To find this equation in standard form, first, write it in factored form. This looks like
. Then, multiply the polynomials using the FOIL (First, Outside, Inside, Last) method.
- Following the FOIL method, you should multiply the first terms in each binomial,
, which equals
. - Then, the outside terms,
. This equals
. - Next, the inside terms,

. - Finally, the last terms,
, this equals
.
Then, add all of the terms together
. To get the standard form, combine like terms, this comes out to
.
You need to find a scale factor of dilation (probably contraction) to make the replica.
Given that the units of the original painting are centimeters and the units of the sheet of paper are in inches, you have to convert one of the units.
I choose to covert inches to centimeters.
To do that, use the conversion factor 1 = 2.54 cm / inch
=> 8.5 in * [2.54 cm/in] = 21.59 cm
=> 11 in * [2.54 cm/in] = 27.94 cm
Now determine the scale factor to convert 77 cm to 27.94 cm and 53 cm to 21.59 cm. That just require use of division operation:
77 / 27.94 = 2.76
53 / 21.59 = 2.45
Then the higher scale factor is the relevant one, and you have to reduce the original painting by a factor of (1 / 2.76) which will lead to fit in the sheet of paper.
N + 4 / 3 = 1 / 3
Multiply both sides by 3 :
3* ( N + 4 / 3 ) = 3 * ( 1 / 3 )
∴
N + 4 = 1
Subtract 4 from both sides:
N + 4 - 4 = 1 - 4
N = - 3
hope this helps !.