All categories

2 years ago

If B = { p : p is a factor of 12 } list the elements of this set and find n ( B )

Mathematics

1 answer:

anastassius [24]2 years ago

3 0

Answer:

B={1,2,3,4,6and12}

n (B) =6

Step-by-step explanation:

<h3>Greetings !</h3>

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Hope it helps!

You might be interested in

A sequence is defined by the recursive formula f(n+1)=f(n)-2. If f(1)=18, what is f(5)?

N76 [4]

Answer:

$f(5)=10$

Step-by-step explanation:

A sequence is defined by the recursive formula $f(n+1)=f(n)-2$

If $f(1)=18,$ then

for $n=1: f(2)=f(1+1)=f(1)-2=18-2=16$

for $n=2: f(3)=f(2+1)=f(2)-2=16-2=14$

for $n=3: f(4)=f(3+1)=f(3)-2=14-2=12$

for $n=4: f(5)=f(4+1)=f(4)-2=12-2=10$

7 0

3 years ago

Read 2 more answers

Find the missing length. The triangles are similar.

hodyreva [135]

Answer:

182

Step-by-step explanation:

First, we can say that ∠ACB and ∠BCF are opposite angles because they are not next to each other and are formed by intersecting lines. Therefore, ∠ACB = ∠BCF

Next, angles correspond with the side opposite of it. This means that, for example, ∠ACB corresponds with line AB and ∠BCF corresponds with line BF. Because ∠ACB and ∠BCF are equal and the triangles are similar, we can say that their corresponding sides have a ratio with each other. Similarly, ∠CAB corresponds to CB, ∠ABC corresponds to AC, ∠CWV corresponds to CV, and ∠CVW corresponds to CB.

Because the triangle CVW is isosceles, we can say that the angles whose corresponding sides are equal are equal as well, so ∠CAB = ∠ABC and ∠CVW = ∠CVW. Next, because ∠ACB and ∠BCF are equal and correspond to each other, and the other two angles in each triangle are equal to each other, we can say that the other two angles must be equal. Another way of putting this is like this:

Say that x = ∠CAB. Then,

∠CAB + ∠ABC + ∠ACB = 180

x + x + ∠ACB = 180

2x + ∠ACB = 180

subtract ∠ACB from both sides

180 - ∠ACB = 2x

Similarly, if y = ∠CWV,

180 - ∠WCV = 2y. Therefore, 2y=2x and y=x, so ∠CAB = ∠ABC = ∠CWV = ∠CVW.

Given this, we can say that sides CV and CW correspond with BC and AC. This means that the ratio between, for example, CV and BC is equal to the ratio between CW and AC. Therefore,

CV/BC = CW/AC

84/182 = 84/?

Filling in the blank, 84/182 is equal to 84/182, so ? = 182

8 0

3 years ago

BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

agasfer [191]

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is $(\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})$ , where $(x_1, y_1)$ and $(x_2 , y_2)$ are points. In this case, the point C has the values of $(x_1, y_1)$ , and B has the values of $(x_2 , y_2)$