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VMariaS [17]
4 years ago
14

Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet

wide by 7 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Mathematics
1 answer:
Luda [366]4 years ago
5 0
Each side should increase by 2x (left & right, and up & down) so that to match the condition :
7+2x)(6+2x) = 45
Solving it will give you: 4x² + 26x - 3

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Please help.........
posledela

Step-by-step explanation:

A e f=180-100

=80

Efd= 360-80-100-40-35

=105

4 0
3 years ago
What is the product of (-4x2-5x-1)(4x2-6x-2)
Stells [14]
(-4x2-5x-1)(4x2-6x-2)

Final result :

-2 • (13x + 1) • (2x2 - 3x - 1)
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(-13x - 1) • ((22x2 - 6x) - 2)
Step 2 :

Pulling out like terms :

3.1 Pull out like factors :

-13x - 1 = -1 • (13x + 1)

Step 3 :

Pulling out like terms :

4.1 Pull out like factors :

(4x2 - 6x - 2) = 2 • (2x2 - 3x - 1)

Trying to factor by splitting the middle term

4.2 Factoring 2x2 - 3x - 1

The first term is, 2x2 its coefficient is 2 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 2 • -1 = -2

Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is -3 .

-2 + 1 = -1
-1 + 2 = 1

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Step 4 :

Pulling out like terms :

5.1 Pull out like factors :

-26x - 2 = -2 • (13x + 1)

Final result :

-2 • (13x + 1) • (2x2 - 3x - 1)
7 0
4 years ago
Can y’all help me?!
Ira Lisetskai [31]

Answer:D

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help please? <br> Only right answers get five stars, and thanks.
Nataliya [291]

Answer:

i know this isn't answering but this will help

Step-by-step explanation:

try the graphing Calculator app called Desmos

its free to use and easy to understand

hope this helped

5 0
3 years ago
8-3(x+2)=2(4-3x)=4.5
xxMikexx [17]
Your answer will be
 x=2
4 0
3 years ago
Read 2 more answers
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