Answer:
75.2 degrees Fahrenheit
Step-by-step explanation:
F = StartFraction 9 Over 5 EndFraction C + 32
- Multiply the value of C by StartFraction 9 Over 5 EndFraction before adding 32.
- 24 Degrees Celsius is 75.2 Degrees Fahrenheit.
9x - 2y = 11 ... (i)
5x - 2y = 15 ... (ii)
Subtracting equation (ii) from (i) we get;
4x + 0 = -4
4x=-4 , x = -1
Replacing x = -1 in equation (i) we get;
9(-1) - 2y = 11
-9 - 2y = 11
-2y = 20
y = 20 ÷ -2 = -10
The solution to the system of equations is (-1,-10).
Answer:
Step-by-step explanation:
Correct steps to find the value of 'a' should be,
Braulio's synthetic division should be,
-1 | 1 5 a -3 11
<u> -1 -4 (4 - a) (a - 1) </u>
1 4 (a - 4) (1 - a) (a + 10)
Here remainder is (a + 10).
So (a + 10) = 17 ⇒ a = 7
Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.
Zahra's calculation by remainder theorem should be,
p(x) = x⁴ + 5x³ + ax² - 3x + 11
p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11
= 1 - 5 + a + 3 + 11
= (a + 10)
Since, remainder of the solution is 17,
(a + 10) = 17 ⇒ a = 7
Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).
| \
| \
| 16 \
| \
|______\
12
Envision this as a right triangle, with one leg of 12 miles, and the other 16 miles. Solve using the Pythagorean Theorem a²+b²=c²:
12²+16²=c²
400 = c²
20=c...they live at least 20 miles from each other.
Let's solve the sine equation.
1. Express sine function in the left side of equation:
.
2. Use the genereal solution to get the solution of your equation:
, where 
.
3. Find 
:
.
4. Substitute part 3 into part 2 and express x:
, where 
, where 
.
5. Solutions of your equation are:
, where .
