X=9. Square both sides. Then add 5 to both sides.
Answer:
a) 6
b) 6i
c) 6i
d) -6
Step-by-step explanation:
We are going to write down the numbers as a product of prime numbers and then proceed to solve:
Note: Remember that i = √-1 and that i²= -1
a) √9(√4)
√3² × √2² = 3 × 2 = 6
Thus, the answer is 6
b) √9 ×√-4
√3² x i√2² = 3 x 2i = 6i
Thus, the answer is 6i
c) √-9.√4
i√3² × √2² = 3i x 2 = 6i
Thus the answer is 6i
d) √-9.√-4
i√3² × i√2²
3i x 2i = -6
Thus the answer is -6
8x+16y = 39 and 40x+8y = 42 are the system of equations that represents in inches the relationship between the length of a blue tile and the length of a white tile.
<u>Step-by-step explanation</u>:
Let 'x' be the inches of a blue tile.
Let 'y' be the inches of a white tile.
8x+16y = 39 -------(1)
40x+8y = 42 -------(2)
Multiply eqn(2) by 2 and subtract it from eqn(1)
8x+16y = 39
(-) <u>80x+16y = 84</u>
<u>-72x = -45 </u>
⇒ x = -45/-72
⇒ x = 5/8
∴ Blue tile is 5/8 inches.
substitute x=5/8 in eqn(1)
⇒ 8(5/8) + 16y = 39
⇒ 16y = 39-5
⇒ y =34/16
⇒ y = 17/8
∴ White tile is 17/8 inches.
Answer:
65
Step-by-step explanation:
20 + 15 + 15 + 15
Y = 15x + 5
X = each day (after the first) you are charged $15
15 + 5 is charged in the first day = 20
Y = Total
Your Y intercept is 5
Your slope is 15
Don’t go into negatives because money and time can’t be negative