Answer:
Step-by-step explanation:
y=e^x will go through (0,1). Since it goes through (0,4), then the function moves up 3 units. So we need to add 3 after e^x
Answer:
36 : 29
Step-by-step explanation:
Require to simplify the ratio
180 : 145
Divide both parts by 5
= 36 : 29 ← in simplest form
Simplest form means that no other number but 1 will divide into the 2 parts of the ratio.
Step-by-step explanation:
standard form is given by Ax × By = C
hence the answer would be
5x + 8y = 24
comment if you still have any doubts :)
Answer:
10. y=2x+1 y = -1/2x +1
11. y=-1/3x +6 y = 3x -4
12. y=-5x-18 y=1/5x + 14/5
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope, we use the slope from the equations for parallel lines and modify it for perpendicular lines.
10. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is 2. The parallel slope is 2 and the perpendicular slope is the negative reciprocal or -1/2.
Parallel Perpendicular
(y-1)=2(x-0) (y-1)==-1/2(x-0)
y-1=2x y-1 = -1/2 x
y=2x+1 y = -1/2x +1
11. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -1/3. The parallel slope is -1/3 and the perpendicular slope is the negative reciprocal or 3.
Parallel Perpendicular
(y-5)=-1/3(x-3) (y-5)=3(x-3)
y-5=-1/3x+1 y-5 = 3x - 9
y=-1/3x +6 y = 3x -4
12. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -5. The parallel slope is -5 and the perpendicular slope is the negative reciprocal or 1/5.
Parallel Perpendicular
(y-2)=-5(x--4) (y-2)=1/5(x--4)
y-2=-5(x+4) y-2 = 1/5(x +4)
y-2=-5x -20 y-2 = 1/5x +4/5
y=-5x-18 y=1/5x + 14/5
if a=3,for example, and B=2, and we plug it in:
p=(3)(2) which is p=6
q=(2)(3) which is also =6
the factor order wont change the product
