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2 years ago

How do u do this I need the answer to this

Mathematics

1 answer:

Olegator [25]2 years ago

4 0

Answer:

3 4

Step-by-step explanation: i Think

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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

2 years ago

Write an equation of the line in slope intercept form

Lelu [443]

Answer: y = x + 2 OR f(x) = x + 2

Step-by-step explanation:

Calculating slope:

Remember rise over run; when going from one point to another point, in this case from (-3, -1) to (0,2), locate the distance moved in the x and y directions. This scenario moves 3 up and 3 right, meaning a positive slope of one. However, if the line was directed left, your slope would be negative.

Finding y-intercept:

Where does the line intersect the y-axis and have a x-value of 0? This is your y-intercept --> (0,2).

Write Equation:

y = mx +b

y = 1x + 2

y = x + 2 <em>(your final answer)</em>

5 0

2 years ago

a bird flies 25 miles Due West then turns due south and flies for another 15 miles and lands how far is the bird from its starti

Crazy boy [7]

Check the picture below.

4 0

2 years ago

The Magic Dragon has 2013 heads. Leo the Brave is cutting off the Dragon's heads at a speed of 5 heads per minute. The Dragon's

aivan3 [116]

Answer: The answer is 1833 heads and 11 hours, 11 minutes.

Step-by-step explanation: Given that the Magic Dragon has 2013 heads. The brave Leo is cutting off the Dragon's heads at a speed of 5 heads per minute. But, the Dragon's heads are growing back at a speed of 2 heads per minute.

So, the number of heads of Dragon that are decreasing per minute = 3.

Therefore, after 1 hour, i.e., 60 minutes, The number of heads of the Dragon

= 2013 - 60 × 3 = 2013 - 180 = 1833 heads.

Now, the fight will last until all the heads of the Dragon are cut. Let the fight lasts for 'x' minutes, then

$2013-x\times 3=0\\\\\Rightarrow 3x=2013\\\\\Rightarrow x=\dfrac{2013}{3}=671.$

Hence the fight lasts for 671 minutes, i.e., 11 hours and 11 minutes.

Thus, the Dragon will have 1833 heads after 1 hour and the fight will last for 11 hour and 11 minutes.

3 0

2 years ago

49 more than the quotient of an unknown number and 12 is 53. What is the value of the unknown number?

nalin [4]

The unknown number is 48 using the equation: x ÷ 12 +49=53 subtract 49 from both sides and get x ÷ 12 = 4 multiplying by 12 on both side to get rid of the ÷12 and get the final answer of x=48.

6 0

2 years ago