Answer:
Step-by-step explanation:
Given line = 30x - 5y = 5 or y = 6x + 1
so, the slope of the given line is 6.
now, let the line which is perpendicular to the given line be y = mx + c
where,
m = slope of the line
c = constant
As we know, if two lines are perpendicular to each other, the value of product of there slopes are -1.
so, slope of given line × slope of perpendicular line = -1
⇒ 6(m) = -1
⇒ m =
By substitutiong the value of m in the equation, we get;
⇒
For c,
as the point (0,-3) passes through the line, we get;
⇒
⇒
Hence,
The line which is perpendicular to the given line and passes through (0,-3) is .
Answer:
A.
Step-by-step explanation:
Original and bigger prism are similar with scale factor k = 4, so:
new surface area = k² * original surface area = 4² * 228 = 16 * 228 = 3648 m²
and
new volume = k³ * original volume = 4³ * 216 = 64 * 216 = 13824 m³
The measurements are there to confuse you. This problem is just asking:
"What is 8 * 3.5?"
So let's break this down:
8 * 3 = 24
8 * 0.5 = 4
24 + 4 = 28
Therefore, 8lb * $3.50/lb = $28
Cool? Cool.
3rd quadrant. Below is a picture that explains what is positive and in what quadrant. I use the term <em>All students take calculus</em>. If you start in the 1st and go through 2nd, 3rd and forth:
A in all stands for All positive
S in students stands for sin and its inverse (csc) is positive.
T in take stands for tan and its inverse (cot) is positive.
C in calculus stands for cos and its inverse (sec) is positive.