Slope = difference in y / difference in x
slope = (2 -1) / (1 -2) = 1 / -1
slope = -1
Answer:
x^2+6x+8
Step-by-step explanation:
x x x=x^2
x x2= 2x
4 x x=4x
4 x 2= 8
x^2+2x+4x+8
x^2+6x+8
Answer:
∠ 1 = 112°
Step-by-step explanation:
Since m and n are parallel lines then
∠ 2 and ∠ 3 are corresponding angles and congruent, that is
∠ 2 = ∠ 3 = 112°
∠ 1 and ∠ 2 are vertical angles and congruent, thus
∠ 1 = 112°
Let ab be a 2 digit number, then ab=10a+b, where a and b are digits, a≠0.
"the difference between the integer and the product of its two digits is 12"
10a+b - (a*b)=12
10a+b-ab=12
factorize b:
10a+b(1-a)=12
subtract 10 from both sides, to produce a factor (1-a) or (a-1) and then factorize:
10a-10+b(1-a)=2
10(a-1)+b(1-a)=2
(a-1)(10-b)=2
(a-1)(10-b) can be (1,2), (2, 1), (-1, -2), (-2, -1)
if a-1=1 and 10-b=2, then a=2, b=8
if a-1=2, and 10-b=1, then a=3, b=9
if a-1=-1, then a=0, which is not possible
if a-1=-2, then a=-1, which is not possible
so the solutions (a, b) are (2, 8) and (3, 9)
Then the integers are 28, 39
Answer: 28, 39
Answer:
y = 3/2x + 4
Step-by-step explanation:
3x-2y=-8
First you want to isolate y to make this into slope intercept form
move 3x to the other side by subtracting it from both sides:
-2y=-3x-8
Then divide both sides by -2 so y is by itself:
y=3/2x +4
3/2 is your slope and 4 is your y-intercept
