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laila [671]
3 years ago
10

Quadratic Equation Word Problem

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0
------------------------------------------------------
Define x :
------------------------------------------------------
Let the width be x.

------------------------------------------------------
Find Area of the walkway :
------------------------------------------------------
Area = 30x + 30x + 20x + 20x + 4x²       
Area = 100x + 4x²

------------------------------------------------------
Find cost of the walkway in term of x:
------------------------------------------------------
1m² = $10
100x + 4x² = 10(4x² + 100x)
(100x + 4x²)m = $(40x² + 1000x)

------------------------------------------------------
Find Width of the walkway :
------------------------------------------------------
The budget is $6000

40x² + 1000x = 6000
40x² + 1000x - 6000 = 0
x² + 25x -150 = 0              //Divide by 40 through
(x - 5)(x + 30) = 0             //Factorise
x = 5 or x = -30 (Rejected, width cannot be negative)

------------------------------------------------------
Answer: The width can be 5m wide.
------------------------------------------------------

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What is the answer to 3/4 +1/3
Elis [28]
Well, to add fractions, you need to find a common denominator. In this case, the smallest common denominator would be 12. So you must multiply each fraction so that both denominators are 12.
3/4*3/3=9/12
1/3*4/4=4/12
Add those two fractions together, reduce if possible, and you have your answer!
9/12+4/12=13/12
You can't reduce, so 13/12 is your answer.
Hope it helps!
-Lacy
3 0
3 years ago
Hello please help me with this I need an answer immediately thank you so much see image
hodyreva [135]

For this case, we know that:

PA = PB

Then, by Pythagorean theorem (right triangle on the right) we have:

CP ^ 2 = CB ^ 2-PB ^ 2

So, again using the Pythagorean theorem (right triangle on the left) we have:

CA ^ 2 = CP ^ 2 + PB ^ 2

Substituting values:

CA ^ 2 = (CB ^ 2-PB ^ 2) + PB ^ 2

Rewriting:

CA ^ 2 = CB ^ 2

CA = CB

CA = 15

Answer:

The value of CA is given by:

CA = 15

8 0
3 years ago
Please hurry Thank you
miskamm [114]
I believe the answer is true.
8 0
3 years ago
How do you solve this?
snow_tiger [21]

Answer:

-368

Step-by-step explanation:

5 0
3 years ago
HELP ASAP will give BRAINLIEST
tester [92]

Hey there! I'm happy to help!

The question tells us that m∠JKL is 54. We see from the diagram that this is the combination of the angles m∠JKM and m∠MKL. So, we can combine their values, which are equal to 54 to find x.

13x+1+5x+4=54

We combine like terms

18x+5=54

We subtract 5 from both sides.

18x=49

We divide both sides by 18.

x=2.7222222....

Now, we want to find the measure of m∠MKL. We plug our x value into the value of this angle and evaluate.

5(2.722....)+4=17.61111....... or 17 11/18.

Have a wonderful day and keep on learning! :D

3 0
2 years ago
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