All categories

3 years ago

BRAINLIESTThere are infinitely many lines with a slope of 42?True or False

Mathematics

2 answers:

jek_recluse [69]3 years ago

5 0

Answer:

True

Step-by-step explanation:

Alenkasestr [34]3 years ago

3 0

Hello!

I believe the answer is True!!

Have a good day! (pls mark brainliest)

You might be interested in

What is the slope of a line is parallel to y equals (1/2)x+3

stich3 [128]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

$y = \frac{1}{2}x + 3 \\ equating \: it \: with \: \\y = mx + b \\ slope \: (m) = \frac{1}{2} \\ \because \: \parallel \: lines \: have \: same \: slope \\ \therefore \: slope \: of \: line \: \parallel \: to \: given \: line = \frac{1}{2}$

8 0

3 years ago

You know how to play 21 songs on your guitar. (a) If you want to choose 8 of the songs to make a setlist to play for a small gat

UNO [17]

Answer:

(a) 8,204,716,800

(b) 5,985

Step-by-step explanation:

Combinations and Permutations

Combinatorics is the part of the discrete mathematics that studies the enumeration of groups or sorting of a determined number of elements. The concept of combinations is tied to the different forms to group elements where the order of their arrangements is not important or does not differentiate from the very same set of elements picked in a different order.

The concept of combinations is tied to the differents forms to group elements where the order of their arrangements is not important or does not differentiate from the very same set of elements picked in different order.

On the other hand, permutations or variations are sets selected in a specific order and another set with the same element but in different order is considered a different set.

If we have n elements available to pick from in sets of m elements each, there can be C(n,m) different combinations, and it's given by

$\displaystyle C(n,m)=\frac{n!}{m!(n-m)!}$

Similarly the number of permutations is given by

$\displaystyle P(n,m)=\frac{n!}{(n-m)!}$

(a) I have n=21 songs to pick from and I want to choose m=8 of them where the order matters, so it's a permutation:

$\displaystyle P(21,8)=\frac{21!}{(13)!}=\frac{51,090,942,171,709,440,000}{6,227,020,800}=8,204,716,800$

I can make more than 8 billion different setlists

(b) To choose m=4 songs from n=21 songs where the order does not matter, we compute the combination

$\displaystyle C(21,4)=\frac{21!}{4!(17)!}=\frac{21\cdot 20\cdot 19\cdot 18\cdot 17!}{4\cdot 3\cdot 2\cdot 1(17)!}$

$\displaystyle C(21,4)=\frac{143,640}{24}=5,985$

I can make almost 6,000 sets of 4 songs

5 0

3 years ago

The figure is made up of two shapes, a semicircle and a rectangle.What is the exact perimeter of the figure?

grandymaker [24]

Perimeter of circular area = πr = 3.14 * 10 = 31.4 mm

Perimeter of rectangular area = 30 + 20 + 30 = 80 mm

Total Perimeter = 80 + 31.4 = 111.4

In short, Your Answer would be 111.4 mm

Hope this helps!

7 0

3 years ago

Read 2 more answers

If 4x+y= x solve for x.

erik [133]

4x+y= x

Move all x term to left side

4x-x+y=0

Subtract 4x from 3x

3x+y=0

Move y term to right side

3x= -y

Divide both sides by 3

X= -y/3

Ok so if it's

4x+y= z solve for x

Move y to right side

4x= -y +z

Now divide both by 4 to get x alone

X= -y/4 + z/4

6 0

3 years ago

Freshman geometry!!! number for please help!!

BARSIC [14]

Option C:

The perimeter of the rhombus is 100 inches.

Solution:

AC = 30 inches, BD = 40 inches

In rhombus, diagonals bisect each other at right angles.

AE = CE = 15 inches

BE = ED = 20 inches

In ΔAED, ∠E = 90°

Using Pythagorean theorem,

$AD^2=AE^2 +ED^2$

$AD^2=15^2 +20^2$

$AD^2=225+400$

$AD^2=625$

$AD^2=25^2$

Taking square root on both sides, we get

AD = 25 inches

In rhombus, all sides are equal in length.

AD = DC = CB = BA = 25 inches.

Perimeter = AD + DC + CB + BA

= 25 + 25 + 25 + 25

= 100 inches

The perimeter of the rhombus is 100 inches.

Option C is the correct answer.

5 0

4 years ago