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Rina8888 [55]
3 years ago
6

X^2+y^2x+4y-20=0standard form

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0
Complete the square by adding the square of half of four to both sides (4)
x^2+y^2-4y+4=4
x^2+(y-2)^2=4

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Mr. Miller has a 20-foot ladder, which he
dimulka [17.4K]

Answer:

8 ft

Step-by-step explanation:

the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.

Solve for the base of the right angle triangle using pythagorean's theorem:

c=20, a=18, b=?

b^{2}=c^{2} - a^{2}\\b^{2}=20^{2} - 18^{2}

b=\sqrt{72}

b= 8.49 ft

round to the nearest foot,

b = 8 ft

3 0
3 years ago
Working as an insurance salesperson, Ilya earns a base salary and a commission on each new policy, so Ilya’s weekly income, II,
Morgarella [4.7K]

Answer:

l(n) = 80n + 520

Step-by-step explanation:

From the information given in the  question, there is a relationship between the number of new policy sold, n, and earning, I

           For 3 new policies, he earned $760

           For 5 new policies, he earned $920.

The rate of change of IIya's earning with respect to number of new policy sales is

             m = \frac{dI}{dn}

             m = \frac{920 - 760}{5 - 3}

             m = $160 / 2 policies

             m = $80 / policy

The linear equation for the relationship is;

             l(n) = mn + b

I(n) is Ilya’s weekly income which is a function of the number of new policies, n

m is the rate of change of I with respect to n

n is the number of new policies,

b is the intial function which is IIya's income when n equals zero

Recall, Ilya earns a commission of $80 for each policy sold during the week. (m = $80 per policy)

                 l(n) = 80n + b

To complete the relationship l, we need to calculate the initial value b.

For 3 new policies, he earned $760,

             760 = 80(3) + b

             760 = 240 + b

             b = 760 - 520

             b = 520

The final equation is l(n) = 80n + 520

From the final equation, we can deduce that Ilya’s weekly salary is $520 and he earns an additional $80 commission for each new policy sold.

6 0
3 years ago
I have a final for summer schoollll due midnight and it’s 10:23!!!!!!!!!!!!
shtirl [24]
26 good luck n I hope you pass
6 0
3 years ago
I NEED HELP ASAP!!<br><br> Subtract.<br><br> -30-27= ?<br><br> -5-(-4)= ?
pashok25 [27]
-30-27= -57
When both numbers are negative, they are “added” in a sense, but remain negative.

-5-(-4)= -1
You have to multiply the (-4) by the “invisible” -1 on the outside before you add/subtract.
5 0
3 years ago
X + 7 &gt; 10<br> Solution is
Misha Larkins [42]
Answer:

x>3

Hope this helps!
5 0
2 years ago
Read 2 more answers
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