Answer:
Step-by-step explanation:
y = e^(-3x)
Stretch by factor of 4
y = 4e^(-3x)
Reflect across y axis
y = 4e^(3x)
Shift up by 5
y = 4e^(3x) + 5
Answer: Here you go hope this helps
If a line is drawn through (twenty, seventy) and (twenty-five, sixty), then you can use the points in getting the equation.
Slope is = (60-70)/(25-20) = -2
Using the two-point slope form, y – y1 = m(x – x1)
y – 70 = -2(x – 20)
y – 70 = -2x + 40
y = -2x + 110
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
Answer: D. Two or zero
Step-by-step explanation: x=-7/6+-1/6√385
There isn't an exact place you could really solve this number, regardless of the way you break it down
Answer:
90
Step-by-step explanation:
1/2x10x3.6=18
18x5=90