💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Get the answer to your homework problem.
Try Numerade free for 30 days
Like
Report
The line through the points $(h, 3)$ and $(4,1)$ intersects the line $7 x-9 y-19=0$. at right angle. Find the value of $h$.
22/9
Geometry
Chapter 10
Straight Lines
Section 3
Various Forms of the Equation of a Line
Parallel and Perpendicular lines
Piedmont College
University of Michigan - Ann Arbor
Utica College
Lectures
12:03
In mathematics, a theorem …
07:43
In mathematics, the tangen…
04:18
The two sides of an angle …
01:42
Find the acute angle betwe…
03:09
$29-30$ Find the acute ang…
02:05
The line $y=\frac{-3}{7} x…
03:21
The sides of an angle are …
03:02
01:43
01:41
It is known that $\triangl…
00:30
Find each angle measure if…
01:15
The points $(3,)$ and $(,-…
the question is being said at the line passing through the point H coma tree. Under the point given to us is for coma one. Okay so the line passing through these points in the 69 7 x minus nine wine minus 19 equals zero. Art right angle. Now you just have to find out the value of X over here. Right? So now the equation of the line A. B. B uh seven X minus nine by minus nine is equal to zero. And let the point is from a three B. Let us just name this as points over hill and let the other point I spoke from A one C. Point D. Okay, so let C be be the line passing through the point C. And B passing through CNN beef. Right now, it is already given the other line Cd intersects the line. Maybe at right angle. This is line A. B. The given line, right? So that means line A B and C. D. Both are perpendicular to each other. Already it stated the question itself. Now we know that product of the product of slopes of a political alliance is always equal to minus one. That means slope of lying A. Be multiplied best slope of lying C. B will be equal to minus one. So now, if you just find out the slope of A B, you like being already given the question over here, so you can just easily find out the slope over here, the question is minus nine by I'm just rearranging the terms in the form of one or two mx plus C. So minus 95 will be equal to minus seven X plus 19. Or rather you can see why is it called for that? I just divide both sides of the equation by minus nine. So I will be equal to seven upon nine x minus uh oh yeah minus 19 upon nine. That means I'm over here will be able to seven upon nine. So now, you know the slope of line A B So slope off Line Cd, let's say this is a question one. So from a question one, slope off C. D will be equal to what you can just find out the slope of city by just multiplying. See, wait, I'll just actually value seven upon nine times slope of cities equal to minus one. That means slope of C. D. Over here will be equal to minus nine a 90.7. This is the slope of line CB. Right now, let's just keep it over here, let's magnus us to we know the scope of line CD that is minus nine upon seven. Now, let us find out the slope of CD. By another method that is, we know that the line CD passes through the to point C. And deal with you. So whenever the line passes through the two points then the slope is given by the formula m is equal to y two minus five hours upon x two minus x one. So let's find out the slow by this method as well. So on substituting the values like the two points of the hill, what we'll get 1 -3 on one for -H or you can see mm will be equal to minus two upon four minus edge. Let's say this is a question three. So now from a question two and three, both other slopes, right? So from a question two and three we get minus two upon four minus edge is equal to minus 9.7. Right? All you see, we just need to find out the value offense which can be directly found out from here. It's so we'll get 14 is a call to nine times four minus nine H. Or you'll get 14 is a call to nine times four is 36 minus nine H. or nine actually equal to 36 -14, which will be equal to 22. Right, so nine H is equal to 22 or H will be equal to 22 upon nine. So the required value of the H one here is 22 upon nine.
View More Answers From This Book
Find Another Textbook
Numerade Educator
In mathematics, a theorem is a statement that has been proven on the basis o…
In mathematics, the tangent function is a function that describes a line tan…
The two sides of an angle are contained in lines whose equations are $4 x+y=…
Find the acute angle between the lines.
$ 2x - y = 3 $ , $ 3x + y = …
$29-30$ Find the acute angle between the lines.$2 x-y=3, \quad 3 x+y=7$<…
The line $y=\frac{-3}{7} x$ passes through the origin in the $x, y$ -plane. …
The sides of an angle are parts of two lines whose equations are $2 y+3 x=-7…
$29-30$ Find the acute angle between the lines.$x+2 y=7, \quad 5 x-y=2$<…
$ x + 2y = 7 $ , $ 5x - y = …
It is known that $\triangle G H M$ is isosceles. $G$ is point $(-2,-3), H$ i…
Find each angle measure if $h \| k$$$m \angle 7$$
The points $(3,)$ and $(,-7)$ are on the line that passes through $(2,1)$ an…
01:48
Find the centre and radius of the circles.$$x^{2}+y^{2}-4 x-8 y-45=0…
01:27
Find the equations of the hyperbola satisfying the given conditions.Vert…
03:38
Find the equation of the set of points $\mathrm{P}$, the sum of whose distan…
03:42
Find the mean deviation about the mean for the data.$$\begin{array}{…
00:35
If in a triangle, square of one side is equal to the sum of the squares of t…
01:28
Find the equation for the ellipse that satisfies the given conditions:Le…
02:27
Evaluate the definite integrals.$$\int_{0}^{2} \frac{6 x+3}{x^{2}+4}…
01:11
There are four men and six women on the city council. If one council member …
03:06
In Fig. $6.63, \mathrm{D}$ is a point on side $\mathrm{BC}$ of $\triangle \m…
00:43
Evaluate the definite integrals.$$\int_{0}^{1} \frac{d x}{1+x^{2}}
Create an account to get free access
Join Numerade as a
Already have an account? Log in