Answer:
24 cm²
Step-by-step explanation:
The area of the shaded region is the area of the outer triangle subtract the area of the rectangle.
Area of triangle = 0.5 × (4 + 4) × (6 + 2) = 0.5 × 8 × 8 = 4 × 8 = 32 cm²
Area of rectangle = 4 × 2 = 8 cm², hence
Shaded area = 32 - 8 = 24 cm²
Answer:
14 mL
Step-by-step explanation:
because 1 ml = 25 mg we just need to divide 350 mg by 25 mg to know how many mL are equivalent to 350 mg.
350/25 = 14
therefore 14mL is equivalent to the 350 mg of the drug.
let's bear in mind that Y is a bisecting point, so it's really cutting XZ into two equal halves.
![\bf \underset{\textit{\Large 18x-6}}{\boxed{X}\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}} Y\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}}\boxed{Z}} \\\\\\ 12x+12x = 18x-6\implies 24x=18x-6 \\\\\\ 6x=-6\implies x=\cfrac{-6}{6}\implies x=-1](https://tex.z-dn.net/?f=%5Cbf%20%5Cunderset%7B%5Ctextit%7B%5CLarge%2018x-6%7D%7D%7B%5Cboxed%7BX%7D%5Cstackrel%7B12x%7D%7B%5Crule%5B0.35em%5D%7B14em%7D%7B0.25pt%7D%7D%20Y%5Cstackrel%7B12x%7D%7B%5Crule%5B0.35em%5D%7B14em%7D%7B0.25pt%7D%7D%5Cboxed%7BZ%7D%7D%20%5C%5C%5C%5C%5C%5C%2012x%2B12x%20%3D%2018x-6%5Cimplies%2024x%3D18x-6%20%5C%5C%5C%5C%5C%5C%206x%3D-6%5Cimplies%20x%3D%5Ccfrac%7B-6%7D%7B6%7D%5Cimplies%20x%3D-1)
Answer: Y = -7X-2
Step-by-step explanation:
if there are two co-ordinates (x1,y1) and (x2,y2).
If the line is passing through these co-ordinates
Then Slopw of the line = (y2-y1)/(x2-x1)
We have one co-ordinate (-1,5) let it be (X1,Y1)
Let second co-ordinate be (X,Y)
Slope = -7 = (Y-5) / (X-(-1))
-7 = (Y-5)/(X+1)
Y-5 = -7 (x+1)
Y-5 = -7x-7
ADDING 5 ON BOTH SIDES OF THE EQUATION
Y-5+5 = -7X-7+5
Y = -7x-2
Answer:
Step-by-step explanation:
The pair of segments on the right tells you the ratio of the segment length above the horizontal line to that below the horizontal line is ...
18 : 6 = 3 : 1
Then x = 3 times 5 = 15.
12 is 3 times y, so y = 4.
