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The answer would be 169.
Hope this helps.
-Benjamin
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r = 
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r = 
= 
=
, then r² = (
)² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle
Answer:
Proportion of chocolate in biscuit tin = 5:7
Step-by-step explanation:
Given:
Number of chocolate in biscuit tin = 10
Number of shortbread biscuits in biscuit tin = 4
Find:
Proportion of chocolate in biscuit tin
Computation:
Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin
Proportion of chocolate in biscuit tin = 10 / [10 + 4]
Proportion of chocolate in biscuit tin = 10 / 14
Proportion of chocolate in biscuit tin = 5:7
ANSWER:
2nd option: 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82
STEP-BY-STEP EXPLANATION:
We need to determine the range of values of x for costs to be less than $175,000.
In points 5.6 and 24.13, the cost is exactly $175,000, which means that the solution interval cannot include these values.
So the correct answer is:
2nd option: 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82
Answer:
32
Step-by-step explanation:
Possible outcomes in a fair sided die 1,2,3,4,5,6 = 6 possible outcomes
Odd numbers = 1,3,5 = 3 odd numbers
Probability of rolling an odd number =
= 
Total number of rolls = 64
expected number of odd number rolls in 64 roll,
=
x 64 = 32