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Anna007 [38]
3 years ago
12

Write an equation for the translation of x^2+y^2=25 by 7 units left and 2 units down

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0
Your equation is a circle where the center is the origin (0, 0) and the radius is 5. With the translation, the new center is (- 7, - 2). Radius stays the same. 

Your new equation is:

(x + 7)² + (y + 2)² = 25
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How many solutions does the system have?
Mrac [35]

Answer:

A Exactly one solution

Step-by-step explanation:

\left \{ {{6x-3y=9} \atop {6x+y=9}} \right.\\\\\left \{ {{6x-3y=9} \atop {-6x-y=-9}} \right\\\\Then, \\\\-4y=0\\\\\\ y=0\\\\

Putting y=0 at second equation, we have

-6x=-9\\\\x=\frac{9}{6} =\frac{3}{2}

The unique solution is (\frac{3}{2} , 0)

3 0
3 years ago
The population of rabbits in a national forest is modeled by the formula P= 12,000 + 1000 (t+1) where t is the number of years f
V125BC [204]
In this formula, 1000(t+1) represents the growth rate of the rabbits.  We want the number right now, so sub in 0 for t.

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P=12,000+1000
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Hope this helps!!!
4 0
3 years ago
K=6x+10, solve for k
kicyunya [14]

Answer:

x=(10-k)÷6

Step-by-step explanation:

6x=10-k

x=(10-k)÷6

4 0
3 years ago
The width of the rectangle is 7 feet, and the diagonal length of the rectangle is 16 feet. which measurement is the closest to t
yanalaym [24]

Answer: b. 14ft

Step-by-step explanation:

In the rectangle, the opposite sides are equal. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of both right angle triangles. The length and width represents the opposite and adjacent sides of the right angle triangles.

To determine the length, L of the rectangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

16² = L² + 7²

256 = L² + 49

L² = 256 - 49 = 207

L = √207

L = 14.38

the closest to the length of this rectangle in feet is

14ft

3 0
3 years ago
Read 2 more answers
How many intergers are between √15 and √68​
worty [1.4K]

Answer:

I think the answer is Four

Step-by-step explanation:

3.9-8= 4,5,6,7

4 0
3 years ago
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