Area for a circle is
. We will fill in each area and then solve for the radius.
and
. ∴
and r = 13. For b,
and
.
, ∴ r = 17. For c,
, and
. ∴,
and r = 11. For d,
, and
. ∴,
so r = 25. And there you have it!
Answer:
y = -2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.
The y-intercept, b, is 5 because the line crosses that number once on the y-axis.
C) (0.85 + x/100)(250+145) does not give the correct answer.
Explanation
A) works; adding the two costs together is 250+145=395. We multiply this by 0.85 because 100%-15%=85%=0.85. We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00. Altogether this gives us
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%. This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
Answer:
B
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (1, - 2)
d = 
= 
= 
= 
→ B
