The values of a and b are -3 and -1 respectively
x³ + ax ²+ bx + 6 has (x - 2) as a factor. Therefore,
(2)³ + a2²+ 2b + 6 = 0
8 + 4a + 2b + 6 = 0
4a + 2b = -14
x³ + ax ²+ bx + 6 leaves a remainder 3 when divided by (x - 3). Therefore,
(3)³ + a3²+ 3b + 6 = 3
27 + 9a + 3b + 6 = 3
9a + 3b = 3 - 33
9a + 3b = -30
<h3>Simultaneous equation:</h3>
4a + 2b = -14
9a + 3b = -30
2b = -14 -4a
b = -7 - 2a
Therefore,
9a + 3( -7 - 2a) = -30
9a - 21 - 6a = -30
3a = -30 + 21
3a = -9
a = -9 / 3
a = -3
4a + 2b = -14
4(-3) + 2b = -14
-12 + 2b = -14
2b = -14 + 12
2b = -2
b = -2 / 2
b = -1
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165
5x5= 25
12x12=144
25+144= 165
To work out the slope of a line, you have to divide the difference in y by the difference in x
The difference in y = 5-6 = -1
The difference in x = 4--2 = 6
So, -1/6 is the answer
Answer:
332°
Step-by-step explanation:
Given is an isosceles triangle,
Measures of base angles of an isosceles triangle are equal.
Therefore,
Measure of central angle
= 180° - ( 76° + 76°)
= 180° - 152°
= 28°
Measure of shaded angle
= 360° - 28°
= 332°
