They are similar by number. But they are not perpendicular. 3x+4y=12 gives you a negative slope. But 4x-3y gives you a positive slope. So they would be crossing each other if put together. This means that Sadia is correct and Henri isn’t. Show all work: 4x-3y=12
4x-3y+3y=12+3y
4x=3y+12
4x/4=3y+12/4
X=3/4y+3
3x+4y=12
3x+4y+-4y=12+-4y
3x=-4y+12
3x/3=-4y+12/3
X=-4/3y+4
Answer: Yes, he makes a reasonable inference.
Step-by-step explanation:
Since we have given that
Number of students = 60
Number of chosen science students = 12
Percentage of students who chose science is given by
12/60 x 100
= 1/5 x 100
= 20%
Since Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction.
So yes, he makes a reasonable inference.
Answer:
254.4 in²
Step-by-step explanation:
Area of a circle is given by the formula:
Our radius is 9 so we substitute this into the equation:
π(9)² = 81π
81π = 254.4 in²
6
25
49
256
1000
512
59049
512
81
2401
Answer:
16 1/4 years
Step-by-step explanation:
Assuming interest is compounded annually, the account balance (A) after t years will be ...
A = P(1 +r)^t
3200 = 1700·1.0397^t
log(3200) = log(1700) +t·log(1.0397)
t = (log(3200) -log(1700))/log(1.0397) ≈ 16.247
The account will reach a balance of $3200 after about 16 1/4 years.
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You may be asked to round your answer to the nearest integer or tenth. We leave that exercise to the student.
