Arjun solved the equation 7·=56. His work is shown.

Mathematics

2 answers:

dusya [7]2 years ago

8 0

Answer:

Step-by-step explanation:

nothing

alukav5142 [94]2 years ago

4 0

Arjun should have divided both sides of the equation by 7 instead of multiplying.

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Claire Judice

Julli [10]

Answer:

The values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

Step-by-step explanation:

Given:

The equation to solve is given as:

$5x^5+6x^4+80x^3+96x^2=0$

Factoring $x^2$ from all the terms, we get:

$x^2(5x^3+6x^2+80x+96)=0$

Now, rearranging the terms, we get:

$x^2(5x^3+80x+6x^2+96)=0$

Now, factoring $5x$ from the first two terms and 6 from the last two terms, we get:

$x^2(5x(x^2+16)+6(x^2+16))=0\\x^2(x^2+16)(5x+6)=0$

Now, equating each factor to 0 and solving for 'x', we get:

$x^2=0\\x=0\ and\ 0\\\\5x+6=0\\x=\frac{-6}{5}=1.2\\\\x^2+16=0\\x^2=-16\\x=\sqrt{-16}=\pm 4i$

There are 3 real values and 2 imaginary values. The value of 'x' as 0 is repeated twice.

Therefore, the values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

4 0

3 years ago

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