-24a²- 6a +9 = - 3(8a² +6a - 9)
8a² +6a - 9 =0
x=(-b +/-√(b² - 4ac))/2a
x = (-6 +/-√(36+4*8*9) /(2*8) = (-6 +/-√(324) /16 = (-6 +/-18)/16
x1 = (-6 +18)/16 = 0.75
x2 = (-6 -18)/16 = - 1.5
-24a²- 6a +9 = - 3(8a² +6a - 9) = -3(a - 0.75)(a + 1.5)
Answer:
probability of getting four head consecutively is 0.2
Step-by-step explanation:
in an experiment coin is flipped 4 times.
given, coin landed heads up more than two times
outcomes of coin landed heads up more than two times =
SAMPLE SPACE : [ {HHHT}{HHTH}{HTHH}{THHH}{HHHH} ]
chance of getting 4 heads = 1 (HHHH)
Probability = 
hence the probability of getting four head consecutively is 0.2
Answer:
A) 5.12mm³
Step-by-step explanation:
Step 1
Find the volume of the bigger pyramid
This is a triangular based pyramid.
The formula to use is given as Volume of Pyramid =
1/3 × Area of the triangle × Height
Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²
Volume of the large pyramid = 1/3 × 6mm² × 5mm
= 10mm³
We are given the length of the small pyramid as 4mm
We would be using was is known as scale factor to find the volume of the small pyramid
The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³
k = 4³/5³
k = Volume of small pyramid/ Volume of large pyramid
Volume of small pyramid = X
Volume of large pyramid = 10mm³
Hence,
4³/5³ = X/10
Cross Multiply
= 4³ × 10 = 5³ × X
X = (4³ × 10)/ 5³
X = 5.12mm³
Answer:
is there a picture?
Step-by-step explanation:
Answer:
a: 17m + m
Step-by-step explanation:
Each one can answer 17 questions in 1 minute.
Each one can answer 17m questions in m minutes.
The total they can answer is 17m + 17m = 34m.
Every expression that is equal to 34m represents the amount they can both answer in the same number of minutes.
The expression we are looking for does not equal 34m.
a: 17m + m = 18m
b: 34m = 34m
c: 2(17m) = 34m
d: 17m + 17m = 34m
Only choice a does not equal 34m.
Answer: a: 17m + m
