Answer:
Average speed v = 83.8 km/h
Step-by-step explanation:
Given;
Distance travelled = 95 km
Time taken t = 12.23 - 11.15 = 1 hour 8 minutes
t = 1 + 8/60 hours = 1.133 hours.
Average speed v = distance travelled/time taken
substituting the values;
v = 95 km ÷ 1.133 hours
Average speed v = 83.8 km/h
Answer:
44.94
Step-by-step explanation:
Use trigonometric ratios to find the unknown side.
Since you are given the adjacent side and the opposite side is in question, use the tangent ratio.
tan(x) = opposite/adjacent
Replace the variables with given values.
tan(59) = x/27
Isolate the variable.
27tan(59) = x
Use a calculator to evaluate the answer.
x = 27tan(59) ≈ 44.94
Please mark as Brainliest! :)
The slope of the first equation has a slope of one and a y intercept of -4. The second equation has a y intercept of -2.3333 as seen when plugging in 0 for x, so the same y-intercept and same line are out of the question. This means either they have the same slope and thus are parallel or intersect at some point. A simple way to find out? Plug in 1 for x on the second. If it isn't -1.33333, which is a slope of positive 1 such as in the first equation, they WILL INTERSECT somewhere. When plugging in 1, we get
3y - 1 = -7
3y = -6
y = -2
(1, -2) is the next point after (0, -2.3333)
That means it is most certainly not the same slope, and thus they will intersect at some point. The two slopes are 1/1 and 1/3 if you weren't aware.
Answer:
vertex=(1,-3)
y-intercept=(0,-2)
x-intercept=(1,+\sqrt{3},0)
axis of symmetry= 1
