Answer: (y + 3) = -1/3 (x - 2)
Step-by-step explanation:
Point-slope form has the form of
y - y1 = m (x - x1)
Where
y1 is the y-value of a point on the line
x1 is the x-value of a point on the line
m is the slope of the line
The problem already gives a point on the line, (2, -3)
(y + 3) = m (x - 2)
Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )
The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is
3x - y = 4
When rearranged to slope-intercept form, we get
y = 3x - 4
Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.
Answer:
x= -10
Step-by-step explanation:
Subtract 8x from 4x ( -4x )
-4x-34=6
Add 34 to 6 ( 40 )
-4x=40
Divide by -4 ( -10 )
x= -10
Answer:
y= 2/3x + 3
Step-by-step explanation: I suggest to look up slope intercept calculator it really helps.
<h2>
Hello!</h2>
The answer is:
The simplified fraction is:
<h2>Why?</h2>
To solve this problem we must remember the following:
- Addition or subtraction of fractions, we add or subtract fractions by the following way:
- Product of fractions, the multiplication of fraction is linear, meaning that we should multiply the numerator by the numerator and denominator by denominator, so:
- Convert mixed number to fraction,
So, solving we have:
Hence, the simplified fraction is:
Have a nice day!
Answer:
Length = 18 in
Width = 15 in
Step-by-step explanation:
We have that the area of a rectangle is:
A = L * W
but L = 1.2 * W
A = 1.2 * (W ^ 2)
1.2 * (W ^ 2) = 270
(W ^ 2) = 270 / 1.2
W ^ 2 = 225
Therefore, W is equal to:
W = 225 ^ (1/2)
W = +/- 15, but only +15 makes sense
W = 15
Now for L:
L = 1.2 * 15
L = 18
A = 15 * 18 = 270 in ^ 2
