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valkas [14]
3 years ago
12

What are the solutions to the system of circle and line when the circle is given by x²+y²=9, and the line is given by y=4?

Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

Answer:

√7i = x

Step-by-step explanation:

x²+y²=9;

y² = 9-x²

y = √(9-x²)

As line is given by y= 4, the solution of the system is:

4 = √(9-x²)

16 = 9-x²

7 = -x²

-7 = x²

√-7 = x

As √-7 doen't exist, you should use i = √-1;

Thus,

<em>√7i = x</em>

<em></em>

I hope it helps!

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A triangle has sides with lengths of 7 millimeters, 14 millimeters, and 15 millimeters. Is it a right triangle
Harman [31]

Answer:

Step-by-step explanation:

Property of a right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

If the length of sides of the given triangle are 7mm, 14mm and 15mm.

(15)² = (7)² + (14)²

225 = 49 + 196

225 = 245

False

Therefore, the given triangle is not a right triangle.

6 0
3 years ago
What expression is equivalent to 14/15
likoan [24]

Answer: Divide 0.93333333333

Step-by-step explanation:

4 0
3 years ago
I) CD and EF are parallel lines.
Elodia [21]

Answer:

1. J because it's a straight line

2. 225

however I only got 4 marks not 5.

Step-by-step explanation:

4 0
3 years ago
Convert the decimal expansion 0.1777 into a rational number
Helen [10]

Answer:

The rational form of the given number 0.1777  = \frac{1777}{10,000}

Step-by-step explanation:

The rational number is expressed as a number on the form of (\frac{p}{q} ) , q \neq 0

Now,here the given number in decimal form = 0.1777

To remove the decimal, firstly count the number of digits AFTER DECIMAL.

Here, number of digits after decimal = 4

SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.

\implies 0.1777  = \frac{01,777} {10,000}  = \frac{1777}{10,000}

Hence, the rational form of the given number 0.1777  = \frac{1777}{10,000}

5 0
3 years ago
Question 10
antoniya [11.8K]

Answer:

$11,500 was invested at 13%.

$17,500 was invested at 4%

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

Loans totaling 29,000.

P was invested at 13%

29000 - P was invested at 4%.

First investment:

Principal P.

Interest 13% = 0.13.

One year, so t = 1.

So

E_{1} = P*0.13*1

E_{1} = 0.13P

Second investment:

Principal 29000 - P.

Interest 4% = 0.04.

One year, so t = 1.

So

E_{2} = (29000-P)*0.04

The total interest earned for both loans was $2,195.00.

This means that E_{1} + E_{2} = 2195

So

E_{2} = 2195 - E_{1}

So we solve the following system:

E_{1} = 0.13P

E_{2} = (29000-P)*0.04

2195 - E_{1} = (29000-P)*0.04

2195 - 0.13P = 1160 - 0.04P

0.09P = 2195 - 1160

P = \frac{2195 - 1160}{0.09}

P = 11500

$11,500 was invested at 13%.

29000 - 11500 = 17500

$17,500 was invested at 4%

5 0
3 years ago
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