Answer:
Step-by-step explanation:
<u>Given system:</u>
<u>Substitute x into the second equation:</u>
- 10(y + 4) + 2y = 16
- 10y + 40 + 2y = 16
- 12y = -24
- y = -2
<u>Find x:</u>
Answer:
Step-by-step explanation:
The answer is 4.
Once you add 4, you get:
x^2 -2x + 4 = 7.
The left side is factorable:
(x-2)^2 = 7.
There is your perfect square.
Answer:
r = 85.625 units
Step-by-step explanation:
This question is apparently designed to cause trouble.
C = 2πr . . . . . formula for circumference
r = C/(2π) . . . . solved for radius
r = 269/π . . . . with the value of C put in
If you use an appropriately precise value for π, you get the answer shown above, 85.625. Here, "appropriately precise" means accurate to at least 5 digits. The value of π that gives the above result is 3.1416, accurate to 5 digits.
If you use a value of π accurate to only 3 digits, 3.14, the radius you obtain is 85.669. That 5-digit result cannot be relied upon when it is obtained using a 3-digit value for π. Unfortunately, many math problems (incorrectly) require the use of 3.14 for π, even when calculating results to 5 or 6 or 7 digits. In view of previous teaching, one cannot blame a student for making this selection.
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The choice r=86.259 uses a value of about 3.1185 for pi. That is not even close to any value that is ever recommended for use in a problem like this.
Answer: y=2x-1
y=-x+18
y=2x-1 is the perpendicular
Step-by-step explanation:
3x+10°=70
or,3x=70-10
or,3x=60
or,x=60÷3
or,x=20
