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Vesna [10]
3 years ago
7

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

t.
x ²+ 4x + y ²− 6y = −4
Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0
Get into form
(x-h)²+(y-k)²=r²
center is (h,k) and radius is r

complete the square for each
(x²+4x)+(y²-6y)=-4
take 1/2 of each linear coefienet and square it
4/2=2, 2²=4
-6/2=-3, (-3)²=9
add that to both sides
(x²+4x)+4+(y²-6y)+9=-4+4+9
(x²+4x+4)+(y²-6y+9)=9
complete the squares
(x+2)²+(y-3)²=3²
(x-(-2))²+(y-3)²=3²

the center is (-2,3) and radius is 3
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Which statement is true about the congruent triangles below? URGENT
VARVARA [1.3K]

Answer:

LN = HJ

Step-by-step explanation:

If you look at the two triangles, you will see each side has a different number of lines on them. Each set of lines corresponds to the same set of lines on the other triangle.

So since side IH has one line the side on the other triangle with one line would be congruent. So that would be line ML.

Also if there are not lines on every side then you could identify the triangle by the red square in the corner meaning that that is a right angle (90 degrees.)

4 0
3 years ago
Ian has the option of purchasing or renting a home. The purchase option requires a loan of $100,000 for a 20-year term at a 4.9%
jenyasd209 [6]

Answer:

The correct answer to the following question will be "70.56".

Step-by-step explanation:

The given values are:

Loan requires, PV = $100,000

Years = 20

Number of months, n = 240

Rate interest = 4.90000%

Monthly rate, r = 0.408333%

Monthly rental payment = $725

As we know,

PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]

On putting the values in the above formula, we get

⇒  100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]

⇒  100000=PMT\times 152.8014557

⇒  PMT=\frac{100000}{152.8014557}

⇒  PMT=654.44

Now,

Saving \ Per \ Month =Rent \ per \ month-PMT

On putting the values, we get

⇒                             =725-654.44

⇒                             =70.56

3 0
2 years ago
Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below:
Marizza181 [45]
<h3>Answer:</h3>

-84

<h3>Explanation:</h3>

(f·g)(2) = f(2)·g(2)

... = (3·2²+2)·(2-8) = 14·(-6) = -84 . . . . . put the numbers in the function and do the arithmetic

7 0
3 years ago
Read 2 more answers
wilson jarred 45 liters of jam after 5 days. how much jam did wilson jar if he spent 7 days making jam? solve using unit rates.
Natali5045456 [20]
45/5 = 9 jams a day
x/7 = 9
x= 63 jams a day

Hope this helps!
5 0
3 years ago
The equation h = 0.019s
TEA [102]

Answer:

s = 28.09 m/s

Step-by-step explanation:

Given that,

The equation that gives the height of the largest ocean waves when the wind speed is s knots is given by :

h=0.019s^2

We need to find the wind speed if the largest waves are 15 feet high.

Put h = 15 feet in the above equation as follows :

15=0.019s^2\\\\s^2=\dfrac{15}{0.019}\\\\s=28.09\ m/s

So, the speed of the wind is 28.09 m/s.

4 0
3 years ago
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