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3 years ago

Simplify 1/4y + 1 1/2 +2- 1 3/4y-12

1 answer:

6 0

First you turn the mixed fraction into an improper fraction and work out 2-13 :
1/4y + 3/2 + - 11/4y-12
Then factorise :
1/4y + 3/2 - 11/4(y-3)
Then factor out y :
Y(y-3)+6(y-3)-11 / 4(y-3)
Then expand :
Y^2-3y+6y-18-11 / 4y-12
Simplify for your final answer :
y^2+3y-29 / 4y-12

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How many lines of reflective symmetry and how many centers of rotational symmetry does the parallelogram depicted below have?

Musya8 [376]

Answer:

4 lines of reflective symmetry, 1 center of rotational symmetry.

7 0

3 years ago

Erin is considering joining one of 2 clubs. Club A has no registration fee, but charges $105 per month. Club B charges members $

inn [45]

Answer:

4 months

Step-by-step explanation:

Club A

registration fee: $0

monthly fee: $105

After every month, the total cost increases by $105.

month 0: $0

month 1: $105

month 2: $210

month 3: $315

month 4: $420

month 5: $525

month 6: $630

Club B

registration fee: $375

monthly fee: $80

Notice how Club B's total reaches Club A's total after 2 months.

month 0: $375

month 1: $455

month 2: $535

month 3: $615

month 4: $695

3 0

4 years ago

2. What is the rule for this input-output table?

qwelly [4]

Answer:

First, this table is a function because it has no repeating input values

Second, it is increasing in both the x and y

third, since it is increasing in x and y it is a positive correlation( I dont know if you have learned that yet)

Fourth, the output increases by 4 each time the input increases by 1

Step-by-step explanation:

5 0

4 years ago

Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

1. First 5 terms:

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

2. Sum of first 25 terms:

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

3. Type of sequence

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago

Which measurements are correct? round side lengths to the nearest hundredth. check all that apply. m∠a = 57° m∠b = 15° c ≈ 10.89

Aliun [14]

The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft

<h3>What are the correct elevation measurements?</h3>

From the image attached, we see that;

A surveyor found the angle of elevation from the ground to the top from a point = 33°

Now, the surveyor moves 20 ft towards the building and the angle of elevation becomes 48°. This means that ∠A and 48° are supplementary to each other.

Thus;

∠A + 48° = 180°

∠A = 180 - 48

∠A = 132°

From sum of angles in a triangle;

∠B + 33° + 132° = 180°

∠B = 180 - 165°

∠B = 15°

Using sine rule, we know that;

sin 33/C = sin B/20

Thus;

sin 33/C = sin 15/20

Solving for C gives;

C = 42.22

From trigonometric ratios, h/c = sin 48

h = 42.22 sin 48

h = 31.28 ft

Read more about elevations at; brainly.com/question/10254887

5 0

3 years ago