Evaluate the expression: 35+22−25(8−6)÷3
1 answer:
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Answer:
B(4, - 3 )
Step-by-step explanation:
We have A(2, - 7) and C(7, 3 )
Using the section formula to calculate the coordinates of B
=
=
=
= 4
=
=
=
= - 3
Hence B(4, - 3 )
Answer:
Given equations:
- a) -3x + 3y = 9
- b) 2x - 7y = -14
<u>Make x the subject in equation 1</u>:
- -3x + 3y = 9
- -3x = 9 - 3y
- x = y - 3
<u>Substitute this into equation 2</u>:
2(y - 3) - 7y = -14
2y - 7y = -14 + 6
-5y = -8
y = -8/-5
y = 1.6
Then x = y - 3
= 1.6 - 3
= -1.4
Solution: (x, y) ⇒ (-1.4, 1.6)
The tree diagram is constructed and attached below in the image.
First we have to make a choice out of 3 subjects, so the probability of choosing art as the first subject is 1/3.
Once we have chosen art as the first subject, we have two choices. So the probability of choosing each option now is 1/2. Thus, the probability of choosing math, science is 1/2.
The probability of choosing the projects in order of art, math, science = 1/3 x 1/2 = 1/6
Therefore, the probability that the projects are in order of art, math, science is 1/6 (one over 6). So first option gives the correct answer.
