Answer:
Step-by-step explanation:
The equation of the given straight line is 2x - 3y + 15 = 0.
Now, we can express the equation as 3y = 2x + 15
⇒ 
..........(1)
The equation is in slope-intercept form and the slope is =
Therefore, the equation of a straight line which is perpendicular to (1) is
{Where c is any constant}
{Since, the product of slopes of two perpendicular straight lines is -1}
Now, putting c = 1, we get the equation as . (Answer)
Hey there!
First, we want to put the equation of this first line in slope-intercept form.
5y=x-5
We divide both sides by 5.
y=1/5x-1.
The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.
So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.
y= -5x+b
Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.
0=-5(-1)+b
0=5+b
b= -5
So, this gives us the equation y= -5x-5
Have a wonderful day!
Answer:
Step-by-step explanation:
What is 20 as a decimal? To write 20 as a decimal you have to divide numerator by the denominator of the fraction. 20 is not a fraction so it is a decimal already. And finally we have: 20 as a decimal equals 20
Answer:
Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle (figure 1) plus the area of trapezoid (figure 2)
see the attached figure to better understand the problem
The area of the rectangle is
The area of the trapezoid is
](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B%2815-9%29%2B3%29%5D%288-3%29)
=22.5\ cm^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B6%2B3%29%5D%285%29%3D22.5%5C%20cm%5E%7B2%7D)
The area of the figure is
An equation is formed of two equal expressions. The solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution to the equation,
(5x+2)² + 15x + 6=0
25x² + 4 + 20x + 15x + 6 = 0
25x² + 35x + 10 = 0
Plotting the equation on the graph, the value of x is,
x = -0.4, -1
Hence, the solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.
Learn more about Equation:
brainly.com/question/2263981
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