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3 years ago

Factor the following: x2−6x+5

Mathematics

1 answer:

lukranit [14]3 years ago

8 0

Answer:

the 6x element as there is no solution in integers.

Step-by-step explanation:

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The diagram below gives the dimensions of a swimming pool. 18 ft , 20ft, 36ft (c) What is the total area of the swimming pool? E

WARRIOR [948]

The picture in the attached figure

Part 1) What is the total area of the swimming pool?

we know that
area of the swimming pool=area rectangle-area semi circle

area rectangle=20*36-----> 720 ft²

area semicircle=pi*r²/2
r=18/2----> 9 ft
area semicircle=pi*9²/2----> 127.17 ft²

area of the swimming pool=720 ft²-127.17 ft²----> 592.83 ft²

the answer Part 1) is
The area of the swimming pool is 592.83 ft²

Part 2) What is the perimeter of the swimming pool?

perimeter of the swimming pool=perimeter of rectangle-18 ft+perimeter semi circle
perimeter of rectangle=2*[20+36]---> 112 ft

perimeter semi circle=2*pi*r/2----> pi*r
r=9 ft
perimeter semi circle=pi*9----> 28.26 ft
so
perimeter of the swimming pool=112 ft-18 ft+28.26 ft----> 122.26 ft

the answer Part 2) is
122.26 ft

6 0

3 years ago

A rectangular soccer field is 120 ft long by 64 ft wide. What dimensions would a scale drawing of the soccer field be if the fie

timofeeve [1]

Answer:

Hence dimension on drawing= 12 in by 6.4 in

Step-by-step explanation:

Actual dimension of the soccer field is 120 ft by 64 ft

Scale during drawing = 1in to 10 ft

Hence dimension on drawing = 120/10 by 64/10 = 12 in by 6.4 in

4 0

3 years ago

In a cash drawer there is $125 in $5 and $10 bills. The number of $10 bills is twice the number of $5 bills. How many of each ty

WINSTONCH [101]

Let us take number of $5 bills = x and

number of $10 bills = y.

Give that "number of $10 bills is twice the number of $5 bills".

So, y is twice of x,

We can setup an equation.

y= 2x ............................... equation(1)

Total value of all bills = $125.

We can setup another equation,

5*(number of $5 bills) + 10*(number of $10 bills) =125.

5(x) +10(y) = 125 ................................... equation(2)

Plugging y=2x in equation(2), we get

5(x) +10(2x) = 125 .

5x+20x = 125.

Adding like terms

25x = 125

Dividing both sides by 25.

25x /25 = 125/25

x= 5.

Plugging x=5 in first equation, we get

y= 2(5) = 10.

Therefore, number of number of $5 bills=5 bills and number of $10 bills = 10 bills.

5 0

3 years ago

Can some please help me?! I would appreciate it a lot!!!

TEA [102]

hello don't worry it's easy its A

5 0

3 years ago

Determine the domain of the function.

Leno4ka [110]

$\left\{\begin{array}{ccc}x+4\geq0&(1)\\(x+2)(x-5)\neq0&(2)\end{array}\right\\\\(1)\ x+4\geq0\ \ \ |-4\\x\geq-4\to x\in\left\ \textless \ -4;\ \infty\right)\\\\(2)\ (x+2)(x-5)\neq0\iff x+2\neq0\ \wedge\ x-5\neq0\\\\x\neq-2\ \wedge\ x\neq5\\\\\text{The domain:}\\\\x\geq-4\ \wedge\ x\neq-2\ \wedge\ x\neq5\\\\x\in\left\ \textless \ -4;\ -2\right)\ \cup\ (-2;\ 5)\ \cup\ (5;\ \infty)$

4 0

3 years ago