Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
A 4/52 7.69%
b 1/52 1.92%
c 2/52 3.84%
d 13/52 25.00%
e 39/52 75.00%.
f 16/52 30.76%
g 3/52 <span>5.76%.</span>
FRACTIONAL AND PERCENTAGE ANSWERS
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Answer:
342.30
Step-by-step explanation:
342.296 would round up because 6 is higher than five. The 0.09 would round up to 0.10, making the 0.2 become a 0.3.
The slope is -4. The slope is always determined by the coefficient of the x variable when in the form stated by the question. The point given is arbitrary to find the slope.
Answer:
What are the laws of indices?
Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base. This means that the larger number or letter must be the same.
Step-by-step explanation:
The first law: multiplication
The second law: division
The third law: brackets
Negative powers
Power of zero
Fractional powers