Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.
9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b
so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We can find the radius from the diameter
r = d/2 = 34/2 = 17
V = (3.14) (17)^2 * 27
V =24501.42 m^3
The surface of a cone is found by
SA = pi r^2 + pi r l where l is the slant height
We can find the radius from the diameter
r = 8/2 = 4
SA =(3.14) * 4^2 + 3.14 * 4*7
=50.24+87.92
138.16 in^2
The lateral surface area of a pyramid is found by taking the area of the sides
LSA = 4 * the area of a triangle
we multiply by 4 since there are 4 sides
= 4 * 1/2 b*h where b is the base of the triangle and h is the height of the triangle. (in this case it would be the slant height)
= 2 * 8 *22
=352 m^2
Answer:
B
Step-by-step explanation:
because for the X axis you have 10 spaces, which is enough to fit 1 week per space (you only need 8). For the Y axis the best option is 150 because again you have 10 spaces and is enough to fit your numbers.
Answer:
A
Step-by-step explanation:
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + (x -5) = 0
(x - 5)(x + 1) = 0
x - 5 = 0 ; x + 1 = 0
x = 5 ; x = -1
Answer:
Hiii
Step-by-step explanation:
