Let's convert the equation into slope-intercept form.
3x + 18y = 4
Subtract 3x from both sides.
18y= -3x + 4
Divide both sides by 18.
y = -3/18x + 4/18
Simplify.
y = -1/6x + 2/9
To make a line perpendicular, we need the slope to be the reciprocal of the other. Flip the denominator and numerator, and change the sign. We also have to change the b to make the line go through (-2, 1)
-1/6 to +6/1, or 6.
y = 6x + b
Input the x and y values and solve for b.
1 = 6(-2) + b
1 = -12 + b
Add 12 to both sides.
13 = b
y = 6x + 13
- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
2,889 digits
Step-by-step explanation:
Total pages of the book = 999 pages
Page 1 - 9 cut separately = 9 digits
Page 10 - 99 = 90 pages
Total digits = 2(90)
= 180 digits cut separately
Page 100 - 999 = 900 pages
Total digits = 3(900)
= 2,700 digits cut separately
how many separate digits does Kai have when he is finished
Total separate digits Kai have when he is finished = 9 digits + 180 digits + 2700 digits
= 2,889 digits
Total separate digits Kai have when he is finished = 2,889 digits
Answer:
7462.14496x
Step-by-step explanation:
