Answer:
8x+y-13=0
Step-by-step explanation:
let the given point be
A(1,5)=(x1,y1)
slope(m)= -8
then,equation of straight line is,
(y-y1)=m(x-x1)
(y-5)= -8(x-1)
y-5= -8x+8
8x+y-5-8=0
therefore,8x+y-13=0 ..........(i) is the required equation.
Let:
v = Olga's speed
t = the time Anna spent going to school (3 km/hour)
t/2 = the time Anna spent running back home with speed of 6 km/hour
So, t + t/2 = 3t/2 is the total time
In the meantime distance = speed*time and the both made the same distance we can put it as:
3t + 6*(t/2) = (3t/2)*v
6t = (3/2)tv divide both sides by t
(3/2)v = 6
v = 2*6/3
v = 4 km/hour
Olga's speed was 4 km/hour.
Answer:
50 degrees.
Step-by-step explanation:
The angle where 2x + 50 is congruent to the 150 degree angle because they are vertical angles.
2x + 50 = 150
2x = 100
x = 50.
Hope this helps!
X = 8/15
6x - 1/5 = 3/1
6x - 1/5 = 3
6x = 3 + 1/5
6x = 15 + 1 over 5
6x = 16/5
x = 16/30
Then, you simplify.
x = 8/15
Answer:
73°
Step-by-step explanation:
the measure of two complementary angles add up to 90
so We need to solve this equation to get the measure of its complementary angle :
x + 17 = 90
then
x = 90 - 17
= 73