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Evgen [1.6K]
3 years ago
9

NEED HELP NOW 25 POINTS 5 PHOTOS WILL MARK BRAINLIEST ANSWER!!! HURRY!!!!!!

Mathematics
1 answer:
Andru [333]3 years ago
4 0
The function to the graph is 6
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A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is
Law Incorporation [45]

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

7 0
3 years ago
How many more puppies weighed 3 pounds than 7 pounds
lara [203]

Answer:

It might be 4 pounds?

Step-by-step explanation:

7-3= 4

but this might be wrong

6 0
2 years ago
Find the prime factorization of 2001
marusya05 [52]
Rime factorization of 2001: 

By prime factorization of 2001 we follow 5 simple steps: 
1. We write number 2001 above a 2-column table 
2. We divide 2001 by the smallest possible prime factor 
3. We write down on the left side of the table the prime factor and next number to factorize on the ride side
4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)
5. We continue until we reach 1 on the ride side of the table

<span>2001<span>prime factorsnumber to factorize</span><span>3667</span><span>2329</span><span>291</span></span>

<span>Prime factorization of 2001 = 1×3×23×29= </span><span>1 × 3 × 23 × 29</span>
4 0
2 years ago
How to solve for x as a denominator in an inequality?
labwork [276]
Examples :

2/x < 4 ....multiply both sides by x, cancelling it on the left side
2 < 4x ...now divide by 4
2/4 < x
1/2 < x

5/x + 7 > = 12
5/x > = 12 - 7
5/x > = 5 ....multiply by x, cancelling it on the left
5 > = 5x...divide by 5
5/5 > = x
1 > = x


8 0
3 years ago
Math help/ battle !!
alisha [4.7K]

Answer:

The missing angle is 40 degrees

Step-by-step explanation:

Tan = opposite / adjacent

Tan ? = 24 / 29

24 / 29 = 0.8275

Tan-1 of 0.8275 is 39.610

Round to the nearest degree

39.610 = 40

5 0
3 years ago
Read 2 more answers
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