Answer:
z= 115 (vertically opposite angles)
x= 65 (straight angle) 180-115=65
y=65 (vertically opposite angle)
Step-by-step explanation:
Answer:
98
Step-by-step explanation:
The value of the expression below when x=3 and y=8 is 98.
Answer:
Q32) we have:
x² - Px + P = x(x - P) + P
but x² - Px + P is divisible of x - P
=> P must be divisible of x - P
=> P = 0
Q37) 3x² + Px + 54 = 0
a = 3 b = P c = 54
=> delta = b² - 4ac = P² - 648
because this equation have 2 solutions => delta > 0
=> P² - 648 > 0
x1, x2 are 2 solutions of this equation
=> x1 = 2.x2
=> x1 - 2.x2 = 0
Using Viète theorem, we have:
x1 + x2 = -P/3
x1.x2 = 18
but x1 = 2.x2 => 3.x2= -P/3
2.x2² = 18
=> -9.x2 = P
x2² = 9 => x2 = 3 or - 3
=> P = 27 or - 27
Q47) because Px² + 2x³ + qx + c is divided by x+ 1 and x-2
=> P - 2 - q + c = 0
4P + 16 + 2q + c = 0
=> 3p + 3q = - 18
=> p + q = -6
Answer:
<em>- 4</em>
Step-by-step explanation:
Formula of slope:
m = ( - ) / ( - )
m = [8 - ( - 4)] / (4 - 7) = (8 + 4) / ( - 3) = <em>- 4</em>
Answer:
32cm and 28cm
Step-by-step explanation:
Area of a trapezium=0.5 ( sum of parallel sides ) × height
600=0.5( 4+a+a)×20
where a is the length of the shorter side
600÷0.5=(4+2a)×20
1200=(4+2a)×20
1200÷20=4+2a
60=4+2a
60-4=2a
56=2a
56÷2=a
28=a.
since the longer side is 4 cm more than th shorter side , 28 +4=32