Answer:
A
Step-by-step explanation:
Distance between 2 points
☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.
Length of RS
![= \sqrt{ {[ - 1 -( - 4)] }^{2} + (9 - 1)^{2} } \\ = \sqrt{( - 1 + 4)^{2} + 8^{2} } \\ = \sqrt{ {3}^{2} + 64 } \\ = \sqrt{73} \\ = 8.54 \: (3 \: s.f.)](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B%5B%20-%201%20-%28%20-%204%29%5D%20%7D%5E%7B2%7D%20%20%2B%20%289%20-%201%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%28%20-%201%20%2B%204%29%5E%7B2%7D%20%20%2B%208%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%20%2B%2064%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B73%7D%20%20%5C%5C%20%3D%208.54%20%5C%3A%20%283%20%5C%3A%20s.f.%29)
Thus, RS is about 8.5 units.
2x²-3xy-2y²-2x-11y-12
Write -3xy as a difference
2x²+xy-4xy-2y²-2x-11y-12
write -2x as a difference
2x²+xy-4xy-2y²+4x-6x-11y-12
Write -11y as a difference
2x²+xy-4xy-2y²+4x-6x-8y-3y-12
Factor out 2x from the expression
2x×(x-2y-3)+xy-2y²+4x-8y-3y-12
Factor out y from the expression
2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12
Factor out 4 from the expression
2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)
Factor out x-2y-3 from the expression
Answer: (x-2y-3)x(2x+y+4)
PLEASE MARK ME AS BRAINLIEST!!
Answer:
probability that Caroline buy both CD and fruit = 0.52
Step-by-step explanation:
We have given that the probability of Caroline buys a fruit P = 0.4
So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6
Probability Caroline buys a CD P = 0.2
So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8
So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48
So probability that Caroline buy both CD and fruit =1-0.48 = 0.52
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 4 sides
(a)
P = a + b + c + d
= x + 7 + 2x + 2 + 8x + x + 10 ← collect like terms
= 12x + 19
(b)
If x = 4 , then
P = 12x + 19 = 12(4) + 19 = 48 + 19 = 67
(c)
If x = 2 , then
P = 12x + 19 = 12(2) + 19 = 24 + 19 = 43
(d)
P = a + b + c + d
= x² + 4x + 8 + 2x² + x ← collect like terms
= 3x² + 5x + 8
If the question is what I think it is, then it's simple. All you need to do is divide 420 by 15; and you'll get the answer: 28.
