Answer:
its infinite
Step-by-step explanation:
Given equation is 2x+1=x−3
That is 2x−x=−3−1
⇒x=−4
Thus there is only one point on the number line that satisfies the equation x=−4, but on cartesian plane i.e. X-Y plane , there are infinite number of solutions as x=−4, and y can have any real value.
Answer:
a) positive direction: t < 2s & t>6s ; negative direction: 2s < t < 6s
b) 7 m
c) 71 m
Step-by-step explanation:
Given:
v(t) = 3t^2 -24t +36 [0 , 7]
Find:
a) The value of time when particle is moving in positive direction:
The change in direction of the particle can be determined by v(t) > 0
Hence,
0 < 3t^2 -24t +36
0 < t^2 - 8t + 12
0 < (t - 2)*(t - 6)
t < 2s , t > 6s
The particle travels in positive direction in the interval t < 2s and t > 6s , While it travels in negative direction when 2s < t < 6s.
b) The displacement ds over the given interval [ 0 , 7 ]
ds = integral (v(t)).dt
ds = t^3 -12t^2 +36t
ds = 7^3 -12*7^2 +36*7
ds = 7 m
c) Total distance traveled in the interval:
Total distance= ds(0-2) + ds(2-6) + ds(6-7)
D = 2*(2^3 -12*2^2 +36*2) - 2*(6^3 -12*6^2 +36*6) + 7
D = 2*32 - 2*0 + 7
D = 71 m
Answer:
The number is 62
Step-by-step explanation:
Let the digits of the number be T and U;
A 2 digit number is represented as: 10T + U
So,
Required
Find the digit
Make U the subject in the first equation
Substitute 8 - T for U in the second
Collect Like Terms
Recall that:
<em>Hence, the number is 62</em>
If u and v are perpendicular, then their dot product is zero:
Solve for p :
The area of the kite will be C. 14 square units.
<h3>How to calculate the area?</h3>
From the information given, on coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1),
The area of the kite will be;
= 2(1/2 × 7 × 2)
= 2 ×7
= 14 units²
Therefore, the area of the kite will be 14 square units.
In conclusion, the correct option is C.
Learn more about area on:
brainly.com/question/25292087
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