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Leto [7]
3 years ago
10

If the perimeter is 284 how long is the longest side

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

141

Step-by-step explanation:

Subtract 2 from 284(for the length of 1 on each side) and divide 282 by 2 to get 141

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Convert the following improper fraction to a whole number or a mixed number: 41/6
Anuta_ua [19.1K]

Answer:

6 and 5 over 6

6 5/6

Step-by-step explanation:

it would be a mixed fraction because 6 can't go into 41 evenly

7 0
3 years ago
Read 2 more answers
Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]
Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

a-6 = -11\\a = -11+6\\a = -5

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

  • brainly.com/question/1414350
  • brainly.com/question/1430645

#LearnwithBrainly

4 0
3 years ago
Simplify the expression 7t +3- 2 t
Ivenika [448]

Answer:

5t+3

Step-by-step explanation:

1 Collect like terms.

(7t-2t)+3

2 Simplify.

5t+3

7 0
1 year ago
Read 2 more answers
the initial term of arithmetic sequence is 5. The eleventh term is 125. what is the common difference of the arithmetic sequence
kap26 [50]
An arithmetic sequence starts with one number and you add the common difference to the previous term to get the current term
So...
f(x)=mx+b
m=common difference
b=starting point
f(11)=125=11m+b
-
f(1)=5=1m+b
--------
120=10m
Divide both sides by 10
12=m
Your common difference is 12.



4 0
3 years ago
The rules of a contest say there is 8% chance of winning a prize. Seven hundred people enter the contest. Predict how many peopl
vesna_86 [32]

8%=0.08

0.08 times 700=56

56 people win a prize.

4 0
3 years ago
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