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frutty [35]
2 years ago
6

The rectangle below has an area of x^2-x-72 square meters and a length of x+8 meters.

Mathematics
1 answer:
melamori03 [73]2 years ago
6 0

Answer:

width x-9 meters

Step-by-step explanation:

(x²-x-72)÷(x+8)

= x-9

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This question has three parts. Answer the parts in order.
nalin [4]

Answer:

The area of the smallest section is A_{1}=100yd^{2}

The area of the largest section is A_{2}=625yd^{2}

The area of the remaining section is A_{3}=250yd^{2}

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

A_{1}=10yd*10yd

A_{1}=100yd^{2}

- Area of the second section:

A_{2}=x^{2} (Eq.1)

- Area of the third section:

A_{3}=width*length

A_{3}=10yd*x (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

A_{1}+A_{2}+A_{3}=975yd^{2}

Replacing values:

100+x^{2}+10x=975

Solving for x:

x^{2}+10x-875=0

x=\frac{-10+\sqrt{100+(4*875)}}{2}

x=\frac{-10+\sqrt{3600}}{2}

x=\frac{-10+60}{2}

x=25

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

A_{2}=25^{2}

A_{2}=625yd^{2}

- From Eq.2:

A_{3}=10*25

A_{3}=250yd^{2}

3 0
2 years ago
Can you please help me?
d1i1m1o1n [39]

Answer:

C / (2 pi) = r

Step-by-step explanation:

C = 2 pi r

Divide each side by 2 pi

C / (2 pi) = 2 pi r/ (2 pi)

C / (2 pi) = r

3 0
2 years ago
Kimane and a friend picked apples. Kimane picked 4 2/3 and his friend picked 5 5/6 pounds. About how many pound of apples do the
Gala2k [10]

Answer:

9\dfrac{1}{2}

Step-by-step explanation:

To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.

Kimane = 4\dfrac{2}{3}

Friend = 5\dfrac{5}{6}

We add them together to find out how many pounds of apples they currently have.

Total Pounds = 4\dfrac{2}{3}+5\dfrac{5}{6}

Just to make the equation clearer, we separate the whole numbers from the fractions.

=4+5+\dfrac{2}{3}+\dfrac{5}{6}

=9+\dfrac{2}{3}+\dfrac{5}{6}

Now since we cannot add the 2 fractions directly since they have different denominators, we need to convert the /dfrac{2}{3} into a fraction with the same denominator.

We multiply both the numerator and denominator by 2 to have the same denominator.

\dfrac{2*2}{3*2}=\dfrac{4}{6}

So now we have:

=9+\dfrac{4}{6}+\dfrac{5}{6}

=9+\dfrac{9}{6}or1\dfrac{1}{2}

Total Pounds = 10\dfrac{1}{2}

Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.

20-10\dfrac{1}{2}

=9\dfrac{1}{2}

So Kimane and his friend still need to get 9\dfrac{1}{2} more pounds of apples to get 20 pounds of apples.

6 0
2 years ago
Use synthetic division to solve (2x^3+4x^2-35x+15) divided by (x-3) What is the quotient?
Salsk061 [2.6K]

Answer:


Step-by-step explanation:

The only thing you need to watch carefully is the divisor which in this case is   x - 3. The divisor, in synthetic division, is the number that will make the binomial go to 0.  

x - 3 =0

x = 3

So the divisor is 3.

3  ||  2    4    -35    15

             6     30    -15

======================

       2   10    -5      0

So the quotient is

2x^2 + 10x - 5 with no remainder


7 0
3 years ago
Read 2 more answers
Lines intersected by a transversal can never be parallel lines. True or false
gayaneshka [121]

Answer : True

When lines intersect they can't be parallel.!

5 0
3 years ago
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