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Nataliya [291]
3 years ago
8

Recall the equation for a circle with center (h,k) and radius r. At what point in the first quadrant does the line with equation

y=2.5x+2 intersect the circle with radius 6 and center (0, 2)?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0
X² + ((1.5x + 3) - 3)² = 16 
<span>x² + (1.5x)² = 16 </span>
<span>x² + 2.25x² = 16 </span>
<span>3.25x² = 16 </span>
<span>x = 8√(13)/13 </span>
<span>x ≈ 2.219 </span>
<span>and so </span>
<span>y = 1.5(8√(13)/13)+ 3 </span>
<span>   ≈ 6.328 </span>
<span>so </span>
<span>(2.219, 6.328) </span>
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Manny purchased a new car this year for $20,500. The car is expected to depreciate at an annual rate of 16%.
galina1969 [7]

Formula

V= c(1-r)^t

V= future value
C= current value
r= depreciation rate p/yr
t= number of periods


v = 20500*(1-0.16)^8
v =
5 0
3 years ago
Read 2 more answers
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water
Grace [21]

The range of this function is all real numbers such that 0 ≤ y ≤ 40.

<h3>What is a range?</h3>

A range is the set of all real numbers that connects with the elements of a domain. This simply means that, a range is the solution set on the y-axis.

<h3>How to determine the range?</h3>

Based on the table (see attachment), we can logically deduce that when the time (x) is zero (0), the amount of water remaining in the bathtub (y) is 40.

Therefore, the range of this function is all real numbers such that 0 ≤ y ≤ 40.

Read more on range here: brainly.com/question/16610662

#SPJ1

7 0
2 years ago
Round 182.17 and 92.55 and 225.82 and 127.94 to the nearest 100
bagirrra123 [75]
200, 100, 200, and 100. if you mean HUNDRETH then they are all already to the nearest hundredth
3 0
3 years ago
Simplify the expression-3(4x+5) - 2 (-5x + 8)
IrinaK [193]
Multiply through the parenthesis:
-12x - 15 + 10x - 16

Combine like-terms:
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8 0
3 years ago
Read 2 more answers
Corinne bought 5 bags of chips and 4 jars of dipping sauce for $21.82. At the same prices, Ginger bought 4 bags of chips and 3 j
marin [14]

Answer:

$2.98

Step-by-step explanation:

Let price of 1 bag of chips be x

Let price of 1 jar of dipping sauce be y

From the 1st statement, we can write:

5x + 4y = 21.82

From the 2nd statement, we can write:

4x + 3y = 16.86

We will multiply 1st equation by 4 and 2nd equation by -5 to get:

4(5x + 4y = 21.82) = 20x + 16 y = 87.28

-5(4x + 3y = 16.86) = -20x -15y = -84.30

Adding, we get:

20x + 16 y = 87.28

-20x -15y = -84.30

-----------------------------

y = 2.98

This is price of 1 jar of dipping sauce - $2.98

6 0
4 years ago
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