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3 years ago

Which point is on the circle centered at the origin with a radius of 5 units?

Mathematics

2 answers:

egoroff_w [7]3 years ago

5 0

Answer:2, square root of 21 just took the test!

Step-by-step explanation:

Aleonysh [2.5K]3 years ago

3 0

Answer:

(2,√21)

Step-by-step explanation:

The circle centered at the origin has equation:

${x}^{2} + {y}^{2} = 25$

Any point that satisfies this equation lie on this circle.

When x=2, we substitute and solve for y.

${2}^{2} + {y}^{2} = 25 \\ 4 + {y}^{2} = 25 \\ {y}^{2} = 25 - 4 \\ {y}^{2} = 21$

Take square root to get:

$y = \pm \sqrt{21}$

Therefore (2,-√21) and (2,√21) are on this circle.

From the options, (2,√21) is the correct answer

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2x+3y=3 and -10x+2y=-32

lawyer [7]

2x + 3y = 3

-10x + 2y = -32

Solve using the substitution method.

Solve for x in the first equation.

2x + 3y = 3

Subtract 3y from both sides.

2x = 3 - 3y

Divide both sides by 2.

x = $\frac{3}{2}$ - $\frac{3}{2}$ y

Plug x into the second equation.

-10( $\frac{3}{2}$ - $\frac{3}{2}$ y) + 2y = -32

Distribute -10 inside the parentheses.

-15 + 15y + 2y = -32

Combine like terms.

-15 + 17y = -32

Add 15 to both sides.

17y = -17

Divide both sides by 17.

y = -1

Plug y into the first equation.

2x + 3(-1) = 3

Multiply 3 by -1.

2x - 3 = 3

Add 3 to both sides.

2x = 6

Divide both sides by 2.

x = 3

x = 3;

y = -1

3 0

3 years ago

Plz help me i have 12 mins left i beg you

hram777 [196]

Answer:

x= 70 degrees

y= 30 degrees

z= 20 degrees

Step-by-step explanation:

Angle x will be supplementary to the 110 degree angle adjacent to it since it will form a straight line. 180 - 110 = 70 degrees.

Since we know the other two angle measures in the triangle that angle y is in, we can do 180 - (110 + 40) to find angle y. 180 - 150 = 30 degrees

We also know the other 2 angle measures of the triangle that angle z is in. We can find angle z by doing 180 - (70 + 90). 180 - 160 = 20

4 0

3 years ago

you are given a fraction in simplest form.the numerator is not zero. when you write the fraction as a decimal,it is a repeating

vampirchik [111]

You are given a fraction in simplest form. The possible denominators are 3, 6, 7, 9

<u>Solution:</u>

Given that, You are given a fraction in simplest form.

The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal.

We have to find which numbers from 1 to 10 could be the denominator

Now, let us check each number by considering the numerator as 1

Then,

$1 \rightarrow \frac{1}{1}=1$ ⇒ non repeating

$2 \rightarrow \frac{1}{2}=0.5$ ⇒ non repeating

$3 \rightarrow \frac{1}{3}=0.333333333333$ ⇒ repeating

$4 \rightarrow \frac{1}{4}=0.25$ ⇒ non repeating

$5 \rightarrow \frac{1}{5}=0.2$ ⇒ non repeating

$6 \rightarrow \frac{1}{6}=0.1666666666666$ ⇒ repeating

$7 \rightarrow \frac{1}{7}=0.1428571428571$ ⇒ repeating

$8 \rightarrow \frac{1}{8}=0.125$ ⇒ non repeating

$9 \rightarrow \frac{1}{9}=0.11111111111111$ ⇒ repeating

$10 \rightarrow \frac{1}{10}=0.1$ ⇒ non repeating

If we want to test with any other numerator. Suppose 5, then numerator is 5 x 1, which means 5 divided by denominator equals with 5 x 1 divided by denominator. So its again product of the numerator we want and above values, then, non repeating stays non repeating and repeating stays repeating.

Hence, the possible denominators are 3, 6, 7, 9

7 0

3 years ago

I invested in a savings bond for two years and paid simple interest at an annual rate of 6%. The total interest I earned was $48

Nina [5.8K]

Answer:

4,000

Step-by-step explanation:

I= P*R*T/ 100

480= P*6*2/100

48000= 12P

Divide.

P= 4000

3 0

2 years ago

What is the value of x in the equation X - 2.6 = 1.8?

Ivenika [448]

Step-by-step explanation:

Given

x - 2.6 = 1.8

x = 1.8 + 2.6

x = 4.4

Hope it will help :)

7 0

2 years ago

Read 2 more answers