Answer:
The values of x and y are x = -3 and y = -2
Step-by-step explanation:
In the complex numbers if a + bi = c + di, then the real parts are equal and the imaginary parts are equal
Let us use this rule to solve the question
∵ -21 + 5yi = 7x - 10i
∴ The real parts are -21 and 7x
∴ The imaginary parts are 5y and -10
∵ The real parts are equal
∴ 7x = -21
→ Divide both sides by 7
∴ 
= 
∴ x = -3
∵ The imaginary parts are equal
∴ 5y = -10
→ Divide both sides by 5
∴ 
= 
∴ y = -2
∴ The values of x and y are x = -3 and y = -2
<em>Acceleration (a) = 5.1 m/s</em>²
<em>Initial speed (u) = 16 km/h </em>⇒
<em>m/s </em>≈ <em>4.5m/s</em>
<em>
</em><em>Final speed (v) =118 km/h </em>⇒
<em>m/s</em> ≈ <em>32.8m/s</em>
<em>
</em>Distance(S) travel in that particular instant is carried out by 'Third equation of motion' i.e., v² = u² + 2aS
<em>So, When all quantities are in S.I. unit then,
</em>putting the values in the equation of motion,
<em /><em>As we have to carry out the distance covered,
</em><em>2</em>·<em>a</em>·<em>S = v</em>² <em>- u</em>²
<em>S = </em>
Putting values in derived equation,
⇒ <em>S = </em>
⇒ <em>S = </em>
⇒ <em>S = </em>
⇒ <em>S </em>≈ <em>103.489</em> <em>m
</em>
<em>
The total distance covered in that given condition is approx. 103.289 m.</em>
Answer:
Its d
Step-by-step explanation:A probability of 1 indicates an event will definitely happen.
Answer:
10 were eaten
Step-by-step explanation:
If we have 15 cupcakes and 2/3 of them were eaten, we multiply 15 times 2/3
15*2/3
12*2 = 30
30/3 = 10
10 of the cupcakes were eaten
9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
