Answer:
K = 11
Step-by-step explanation:
3(k - 6) = 15
3k - 18 = 15
3k = 15 + 18
3k = 33
K = 33/3
K = 11
Thus, the value of K is 11
Answer: look at the picture
Step-by-step explanation: Hope this help :D
We have that
A(-2,-4) B(8,1) <span>
let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3
we know that
A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so
step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2
step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2
the coordinates of point M is (2,-2)
see the attached figure
Answer:
Step-by-step explanation:
1 mile contains 5280 feet
x mile contains 792 feet Cross Multiply
5280 x = 792 Divide by 5280
x = 792 / 5280
x = 0.15 miles
1 hour = 3600 seconds
Distance travelled in 12 sec = 0.15 miles
3600 sec = x Cross Multiply
12x = 3600 * 0.15 Combine
12x = 540 Divide both sides by 12
12x/12 = 540/12
x = 45 miles / hour