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LUCKY_DIMON [66]
3 years ago
11

Knitting: You are knitting a blanket. You want the area of the blanket to be 24ft^2. You want the length of the blanket to be 2

feet longer than the width. What should the dimensions of the blanket be?
Mathematics
1 answer:
andriy [413]3 years ago
5 0
You can use factors to solve.  Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!


Algebraic way to solve using Quadratics:
l = 2 + w

A = lw

A = (2 + w)w  Substitute (2 + w) for l

24 = (2 + w)w  Substitute 24 in for the area

24 = 2w + w^2  Distribute

w^2 + 2w - 24 = 0  Set equal to 0 (put in standard form)

(w + 6) (w - 4) = 0  Factor

w + 6 = 0  and w - 4 = 0    Set each factor equal to 0.

So w= -6 or w = 4 ... -6 makes no sense for a length!  So the width must be 4 and the length will be 4 + 2, which is 6.

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How do solve number 18 and 15?
Yuliya22 [10]
For #18
you would divide 3y over 3 witch would cancel out then you would divide 9.5 over 3 and you would get (3.16) i think 
6 0
3 years ago
What is the factor of 25a2+b2?
Neko [114]

Answer:

(5a+b)⋅(5a−b)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 52a2 -  b2

STEP

2

:

Trying to factor as a Difference of Squares

2.1      Factoring:  25a2-b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (5a + b)  •  (5a - b)

7 0
3 years ago
A student ran out of time on a multiple choice exam and randomly guessed the answers for 2 problems. Each problem had 5 answer c
frozen [14]
So if there are 5 choices and only one is correct, there is a 1/5 chance of being correct. since there was 2 questions, you need to multiply 1/5 by 1/5 to get 2/25 of getting both questions correct.

i hope this helps!!
3 0
3 years ago
Show that cos2x=cosx
PSYCHO15rus [73]

cos (2x) = cos x

2 cos^2 x -1 = cos x   using the double angle formula

2 cos ^2 x -cos x -1 =0

factor

(2 cos x+1) ( cos x -1) = 0

using the zero product property

2 cos x+1 =0    cos x -1 =0

2 cos x = -1       cos x =1

cos x = -1/2       cos x=1

taking the arccos of each side

arccos cos x = arccos (-1/2)         arccos cos x = arccos 1

x = 120 degrees   x=-120   degrees           x=0

remember you get 2 values ( 2nd and 3rd quadrant)

these are the principal values

now we need to add 360

x = 120+ 360n      x=-120+ 360n      x = 0 + 360n  where n is an integer


3 0
3 years ago
Please answer these questions and please show your work. I'm giving 30 points for this question, so please answer honestly.
ASHA 777 [7]

Answer:

just use symbolab it gives you the answer and the work

Step-by-step explanation:

i would show you but its easier if you do it

7 0
3 years ago
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