I need help wit dis question plz

The points P(2,3) , Q(-1,1) and R(5,-1) are the vertices of a triangle PQR.Find the equation of the altitude of the triangle PQR

vfiekz [6]

Answer:

$y = \frac{3}{4} x+ \frac{7}{4}$

Step-by-step explanation:

The slope of straight line PR where P(2,3) and R(5,-1) are two vertices of triangle PQR will be = $\frac{3-(-1)}{2-5} =-\frac{4}{3}$

Therefore, the slope of the altitude passing through Q(-1,1) will be $\frac{3}{4}$ {Since, the product of slopes of two perpendicular straight line is -1}

So, equation of the altitude is $y=\frac{3}{4} x + c$ where c is a constant.

Now, putting x = -1 and y = 1 in the above equation we get

$1 = -\frac{3}{4} + c$

⇒ $c=\frac{7}{4}$

Therefore, the equation of the altitude is $y = \frac{3}{4} x+ \frac{7}{4}$ (Answer)

6 0

3 years ago

What is the height of the triangle? 17 units 34 units 51 units 68 units?

SCORPION-xisa [38]

Answer:

it is 34

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

One day, the temperature was 63°F. During the night, the temperature was 38°F. If t represents the change in temperature, what i

rewona [7]

T would represent 25. This problem involves you subtracting the two temperatures.

3 0

3 years ago

Read 2 more answers

How to combine fractions 5b/4a+b/3a-3b/a

Step2247 [10]

Most importantly, while including divisions with various denominators, the initial step says that we should change these portions so they have "a similar denominator" .Here are the means for including divisions with various denominators .Construct each portion with the goal that the two denominators are equivalent. Keep in mind, while including divisions with various denominators, the denominators must be the same. So we should finish this progression first. a. Re-compose every proportionate division utilizing this new denominator b. Now you can include the numerators, and keep the denominator of the proportionate divisions. c. Re-compose your answer as a streamlined or decreased division, if necessary. We know this sound like a great deal of work, and it is, yet once you see completely how to locate the Common Denominator or the LCD, and manufacture proportional parts, everything else will begin to become all-good. Thus, how about we set aside our opportunity to do it. Solution: 5b/4a + b/3a -3b/a =15b/12a + 4b/12a – 36b/12a = -17b/12 a Or = - 1 5b/12a in lowest term.

8 0

3 years ago

A Hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute . The total c

mojhsa [17]

$\bf \stackrel{\textit{cubic feet of air}}{\stackrel{\textit{dependent}}{a(t)}}\qquad \stackrel{\stackrel{\textit{time in minutes}}{independent}}{t}~\hspace{7em}a(t)=6000t$

the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.

if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

t minutes......................6000(t) ft³

before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

a(6) = 36000 ft³.

now, what domain, namely values for "t" make sense?

well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?

90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].

what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

5 0

4 years ago