Part A.
What we can do to solve this problem is to assume that
the acceleration of Bryan is constant so that the velocity function is linear.
The standard form of a linear function is in the form:
y = m x + b
or in this case:
v = m t + b
where v is velocity and t is time, b is the y –intercept of
the equation
The slope m can be calculated by:
m = (v2 – v1) / (t2 – t1)
m = (12 – 15) / (7 – 4)
m = -1
Since slope is negative therefore this means the cyclist
are constantly decelerating. The equation then becomes:
v = - t + b
Now finding for b by plugging in any data pair:
15 = - (4) + b
b = 19
So the complete equation is:
v = - t + 19
This means that the initial velocity of the cyclists at t
= 0 is 19 km / h.
Part B. What we can do to graph the equation is to
calculate for the values of v from t = 0 to 12, then plot all these values in
the Cartesian plane then connect the dots.
Answer:
state A = 32 votes, state B = 53 votes
Step-by-step explanation:
Let the number of electoral votes for state A be a and state B be b
a = b - 21
a + b = 85
Substituting a for b - 21 in the second equation
2b - 21 = 85
2b = 106
b = 53
Plugging b back in
85 - 53 = 32
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
7⋅9=p⋅8
Solve the equation for p.
p=63/8
Hope this helped! Let me know if you have any questions. Mark me Brianliest please:)
Answer:
x = 76°
Step-by-step explanation:
Corresponding angles are formed when a transversal line cuts across two parallel lines. The angles formed are in corresponding position close to the transversal. Corresponding angles formed like this are congruent.
In the diagram given above, BD and XY are parallel lines cut across by a transversal line.
Angle labelled x corresponds with the angle measuring 76°. Therefore they are both congruent. Thus: x = 76°.
