You just swap the ordered pair units around. It’d be (-5, 3)
Answer:
Step-by-step explanation:
To find : Acceleration in first 15 min . Distance between two cities Average speed of journey
Solution:
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Distance between two cities
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
Average Speed of journey = 125/2 = 62.5 km/hr
Acceleration in first 15 min = 200 km/h²
Distance between two cities = 125 km
Average Speed of journey = 62.5 km/hr
Hope this helps..
Explanation
Step 1
a) let
b) b value
to find the measure of side b we can use cosine function
c) angle B
to find the measure of Angle B we can use sine function
d) side a
so, the answer is
I hope this helps you
Two lines that are parallel have the same slope. In its slope-intersect form, we can write the equation of a line with slope m and y-intercept b as:
Step 1
Write the given equation in slope-intercept form and identify its slope m.
Thus:
Step 2
Find the equation with the same slope m = -2. We need to identify which of them has -2 multiplying the variable x.
Answer
From the given options, the only one with the same slope m = -2, therefore parallel to the given line, is:
Answer:
Step-by-step explanation:
1) if the required straight line is 'l', the given point is A(a;b), then the required equation of line can be written in form:
where (x₁;y₁) is other point B, which belongs to the 'l';
2) from the equation it is possible to detect the coordinates of the perpendicular, they are (x₁-a;y₁-b);
3) if the given perpendicular is ax+by=5, then the coordinates of the vector (a;b) are coordinates of the vector, which belongs to the required line 'l', and then: x₁-a=a and y₁-b=b;
4) if to substitute the a=x₁-a and b=y₁-b into the required equation of line 'l', then:
5) finally, the equation is: ay=bx, or y=b/a *x (slope-interception form).
note: the suggested solution is not the only way.