Answer:
y=x-3 is slope-intercept form
Answer:
He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.
The Factors (excluding 1) are;
2, 3, 4, 6, 9, 12, 18
Using these therefore he can divide them;
- Into 3 groups each with 12 people.
- Into 4 groups each with 9 people.
- Into 6 groups each with 6 people.
- Into 9 groups each with 4 people.
- Into 12 groups each with 3 people.
Answer:
w= 9
Step-by-step explanation:

Square both sides:
-4w +61= (w -4)²

Expand:
-4w +61= w² -2(w)(4) +4²
-4w +61= w² -8w +16
Simplify:
w² -8w +16 +4w -61= 0
w² -4w -45= 0
Factorize:
(w -9)(w +5)= 0
w -9= 0 or w +5= 0
w= 9 or w= -5 (reject)
Note:
-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.
<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>
When solving an equation such as x²= 4,
we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.
In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.
However, back to our question, we did not introduce the square root so we should not consider the negative square root value.
Answer:
(-5, -2)
Step-by-step explanation:
3x+4y=-23
x=3y+1
since we have what x is, we need to subsitute
3( 3y+1) + 4y= -23
no we need to multiply the number inside the parenthesis by 3
9y + 3 + 4y= -23
combine like terms ( add the numbers or variables that look alike)
9y+4y is 13y
13y+3= -23
since we need to get the y alone we need to subtract 3 on both sides since its the opposite of adding
13y+3-3=-23-3
13y= -26
now we divide 13 on both sides to get Y alone
13y/13= -26/13
y= -2
now since we have y we need to substitute it to find x
x= 3y+1
x= 3( -2) +1
now we mutliply 3 with -2
x= -6 +1
x=-5
those are ur answers
y= -2
x= -5
hope this helped:D