Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
Step 1
Find the area of one equilateral triangle
Applying the law of sines

in this problem
a=b=7 cm
C=60 degrees
so

cm²
Step 2
To calculate the area of the hexagon multiply the area of one equilateral triangle by 
cm²
therefore
the answer is the option
73.5 sqrt 3cm²
Answer:
{(0,0),(0,1),(1,2),(1,3)}
Step-by-step explanation:
If this was a function it would be (0,0) ,(1,1), (2,2) ,(3,3) and so on
The increase of volume = volume of the cube = 1 cubic foot = 1728 cu ins
Area of the base = 12 sq ft = 12 * 144 = 1728 sq ins
The height of increase = 1728 / 1728 = 1 inch Answer
Answer:
The first one, the third one, and the fourth one.
Step-by-step explanation:
i just put the ones that are correct. If you want me to write out why the incorrect ones are incorrect, let me know.
1.
-6=3x
-6= 3(-2)
-6= -6
3. -8= x+x+x+x
-8= -2+-2+-2+-2
-8= -8
4. x/2= (-1)
-2/2 =(-1)
-1= -1