Begin by using the cosine rule to find the unknown side.
Where a- unknown side, b is 12, c is 16 and angle in between is 108°
The cosine rule...
a² = b² + c² - 2bc cosA
= 12² + 16² - (2×12×16 cos108°)
= 518.655076
Taking the positive
square root...
a = 22.774
a = 22.8 cm nearest tenth
Answer:
(-9,2)
(3,-6)
(6,-8)
(9,-10)
Step-by-step explanation:
y=-2/3(9)-4
y=-2/3(3)-4
y=-2/3(6)-4
y=-2/3(9)-4
Step-by-step explanation:
The formula is Distance=√(x2-x1)²+(y2 -y1)²
x1 is 5, x2 is 1, y1 is 9, y2 is 6
D = √( 1-5)² +(6-9)²
D = √(-4)²+(-3)²
D = √16+9
D = √25
D = 5 units
Answer:
(x²-2x)/(2x+6)
Step-by-step explanation:
When you are asked to divide two fractions just do keep-change-flip. Keep the first fraction, change the ÷ to x and flip the second fraction upside down. So the problem becomes ((x-2)/(x+3)) times (x/2). Then just multiply numerators and multiply denominators.
Answer:
Step-by-step explanation:
1) x² - 8x + 5 = 0
2) No subtract 5 from both sides
x² - 8x + 5 - 5 = 0 - 5
x² - 8x = -5
3) Now find (8/2) = 4. Add 4² = 16 to both sides
x² - 8x + 16 = -5 + 16
x² - 8x + 16 = 11
4) (x - 4)² = 11
5) Take square root both sides
x - 4 = ±√11
x = 4 ±√11