Answer:
The answer to your question is: x1 = - 7 + 9i x2 = -7 - 9i
Step-by-step explanation:
x² + 14x = - 130
x² + 14x + (7)² = -130 + (7)²
(x + 7)² = -81
x + 7 = ± √-81
i² = -1, then x + 7 = ±√ 81i²
x + 7 = ± 9i
x1 = -7 + 9i x2 = -7 - 9i
Answer: sin(L) = 4/5, cos(L) = 3/5, tan(L) = 4/3
Step-by-step explanation:
i got it wrong so here's the correct answers for people who are trying to pass
The ratio of his savings: expenses = 7: 5
So, total of the ratio is = 7 +5 =12
His savings will be 7/12* allowance
His expenses will be 5/12 * allowance
We know that the allowance that he gets is $3
His savings = 7/12 * allowances
His savings = 7/12 * 3
His savings = $7/4 or 1 ¾
Now, we convert the 7/4 (or 1 ¾) into a decimal.
1 ¾ when converted is decimal is 1.75
His Savings = $1.75
The mixture contains 61.5% of water.
<u>Step-by-step explanation:</u>
Total parts = 4+ 2.5 = 6.5
Parts of water =4
parts of drink = 2.5
Percent of water in the mixture = 4 × 100/ 6.5
= 400/6.5
= 61.53%
It is rounded to the nearest tenth as 61.5%.
Answer:
28/9
Step-by-step explanation:
If the roots are J and K, then:
3 (x − J) (x − K) = 0
3 (x² − (J+K)x + JK) = 0
So if we factor out the leading coefficient:
3x² − 2x − 4 = 0
3(x² − 2/3x − 4/3) = 0
The coefficient of the second term is the sum of the roots:
J + K = 2/3
And the constant is the product of the roots:
JK = -4/3
If we take the sum of the roots and square it:
(J + K)² = (2/3)²
J² + 2JK + K² = 4/9
And subtract twice the product:
J² + K² = 4/9 − 2JK
J² + K² = 4/9 − 2(-4/3)
J² + K² = 4/9 + 8/3
J² + k² = 28/9
