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3 years ago

Prime numbers please

Mathematics

2 answers:

Scilla [17]3 years ago

7 0

Numbers that can only be divided by itself and 1. For example: 31, 11, 7, and others.

seropon [69]3 years ago

6 0

One prime number is 3

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In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B

Step2247 [10]

Answer:

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

Substituting x1=-6, x2=2, y1=3, y2=-3:

$\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2$

$\displaystyle y_m=\frac{3-3}{2}=0$

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substituting x1=-6, x2=-2, y1=3, y2=0:

$r=\sqrt{(-2+6)^2+(0-3)^2}$

$r=\sqrt{4^2+(-3)^2}$

$r=\sqrt{16+9}=\sqrt{25}=5$

The radius of the circle is 5.

4 0

3 years ago

Select the type of equations

olya-2409 [2.1K]

Two lines are "inconsistent" if they are parallel. They are "equivalent" if they are the same line. Otherwise, they are "consistent."

Your first 3 graphs show "consistent" equations.

The 4th graph shows "inconsistent" equations.

The solution shown on the 5th graph is where the lines intersect, near point
(5, 3)

4 0

3 years ago

Read 2 more answers

Beveragesat the Store2,000milliliters ofsoda2.5 liters ofapple juice1,500milliliters offruit punch2 liters oflemonade2. Mandy wa

sesenic [268]

Explanation:

The number of Beverages present at the store ;

Soda = 2000ml = 2L

Apple Juice = 2.5L

Fruit Punch = 1.5L

Lemonade = 2L

Now, we have to buy exactly 10 liters but it should be at least one container of each beverage.

Soda + Apple juice + Fruit Punch + Lemonade = 8L

So we need 2 L more.

The only way of doing this is by either having 2 containers of soda or 2 containers of lemonade.

We can conclude that the correct answer is:

Answer:The combination of beverages she can purchase is:Soda = 2 containerApple juice = 1 containerFruit punch= 1 containerLemonade = 1 container

5 0

2 years ago

(I NEED IT TODAY)A bowling alley charges a $3 shoe rental fee plus $1.50 for each game

anastassius [24]

Equation: y = 1.5x + 3
10.50 = 1.5x + 3
1.5x = 7.5
x = 5
She played 5 games

3 0

3 years ago

Read 2 more answers

a dollar bill has length of 150 mm and a width of 50 mm . complete the number sentences below to show two ways to find the perim

marysya [2.9K]

Hey There!
Perimeter=L+W×2
Perimeter=150+50×2
Perimeter=200×2
Perimeter=400

8 0

4 years ago