Answer:
The value of k is -5.
Step-by-step explanation:
To find the value of k, start by using the known information we have in the equation for slope. The equation is below.
m(slope) = (y2 - y1)/(x2 - x1)
In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.
-1/5 = (-7 - k)/(6 + 4)
-1/5 = (-7 - k)/10
Now we can use cross multiplication to solve for k.
-1/5 = (-7 - k)/10
-1*10 = 5(-7 - k)
-10 = -35 - 5k
25 = -5k
-5 = k
Answer:
<h2>x = 8</h2>
Step-by-step explanation:
<em>Look at the picture</em>.
ΔABC and ΔACD are similar. Therefore corresponding sides are in proportion:
![\dfrac{AB}{AC}=\dfrac{AC}{AD}](https://tex.z-dn.net/?f=%5Cdfrac%7BAB%7D%7BAC%7D%3D%5Cdfrac%7BAC%7D%7BAD%7D)
We have
![AB=2+6=8,\ AC=x,\ AD=2](https://tex.z-dn.net/?f=AB%3D2%2B6%3D8%2C%5C%20AC%3Dx%2C%5C%20AD%3D2)
Substitute:
<em>cross multiply</em>
![x^2=(8)(2)\\\\x^2=16\to x=\sqrt{16}\\\\x=8](https://tex.z-dn.net/?f=x%5E2%3D%288%29%282%29%5C%5C%5C%5Cx%5E2%3D16%5Cto%20x%3D%5Csqrt%7B16%7D%5C%5C%5C%5Cx%3D8)
Answer:
The lines are perpendicular
Step-by-step explanation:
Answer:
The time it will take Kalin will be 2h 33m
Step-by-step explanation:
First we will transform the numbers to work more comfortable
d = distance
v = velocity
v = 3 2/3 miles per hour = 3.33 mi/h
d = 4 1/4 milles = 4.25 mi
As the time it takes to go to the beach and back asks us, we have to do the distance 2 times
d = 4.25 mi * 2
d = 8.5 mi
To calculate the time it takes, we simply have to divide the distance by the velocity
t = d/v
t = 8.5 (mi) / 3.33(mi/h)
t = 2.55h
if we also want to express the minutes we can divide after the point .55 by 100 and multiply it by 60
(55/100)*60 = 33
t = 2h 33m
The time it will take Kalin will be 2h 33m
X2+y2–x–2y–11/4=x2−x+14−14+y2−2y+4−4−11/4=(x−12)2+(y−2)2−14−4−114=(x−12)2+(y−2)2−7=0(x−12)2+(y−2)2=(7√)2
Center(1/2 ,2)
radius = \sqrt 7