1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.
2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

so

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.
moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2
4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x
5.
to find this point:
3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2
x*10/3=-2

thus y is : (-1/3)(-6/10)=0.2
Answer: (-0.6, 0.2)
Answer: 24% of the books read are magazine
Step-by-step explanation:sum of the books read is 20+12+18=50 books.
Therefore 12 of the books are magazine.
Then, 12 of 50 =24%( 12÷50)× 100/1 = 24%
Use the Pythagorean theorem to find the height.
Height = sqrt(26^2-10^2)
Height = 24 cm
Volume = 20^2 x 24/3
Volume = 7,200 cm^3
Answer:
0.22
Step-by-step explanation:
Probability distribution is the function which describes the likelihood of possible values assuming a random variable. The alkalinity of lake is determined by dividing the high shallow depthness by the total of lake alkalinity. The shallow depth is 209 and the total alkalinity of the lake is 966. By dividing the depthness with alkalinity we get 0.22.
209/966 = 0.219
approximately 0.22