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g100num [7]
3 years ago
7

The roots of x(x-1) = 0 are x = 0 and x = 1. O True O False

Mathematics
1 answer:
Naddik [55]3 years ago
3 0

Answer:

The roots are z=0   x=1

Step-by-step explanation:

x(x-1) = 0

Using the zero product property

x = 0   x-1 =0

x = 0   x =1

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Two garden plots are to have the same area. One is square and one is rectangular. The rectangular plot is 2 meters wide and 8 me
Crank

First, let's look at the formulas for the area of square and area of the rectangle.

A_{square}=a^2

A_{rectangle}=a\cdot b

And what this exercise states is that the areas are the same. So:

A_{square}=A_{rectangle}\Longrightarrow a^2=a\cdot b

Now put in the data.

a^2=2\cdot8

Solve for a:

a=\sqrt{2\cdot8}=\sqrt{16}=\boxed{4}

The side of the square garden plot is 4 meters.

Hope this helps.

r3t40

7 0
3 years ago
Simplify the expression 5+6i/4+6i<br> A) 56-6i/-20<br> B) -16-6i/-20<br> C)56-6i/52<br> D) -16-6i/52
IRISSAK [1]

Answer:

The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

= \frac{5 + 6i}{4 + 6i}

Now rationalize the expression.

= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}

= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}

As i² = -1

= \frac{20-30i+24i+36}{16 + 36}

= \frac{56-6i}{52}

Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

8 0
3 years ago
Read 2 more answers
Isabelle plans to line her flower garden with a decorative border. Her flower bed is 60 inches by 78 inches. The border is sold
andrew11 [14]

Step-by-step explanation:

I guess, the flower bed is a true rectangle, right ?

so, then, the perimeter of that rectangle is

2×length + 2×width = 2×78 + 2×60 = 156 + 120 = 276 in.

1 ft = 12 in

276 in = 23 ft

she can only buy a bundle of 40 ft.

that means she will have

40 - 23 = 17 ft left.

5 0
2 years ago
What is equivalent to 3^4 ⋅ 3^−9<br> ( exponents )
In-s [12.5K]
<span>3^4 ⋅ 3^−9
= 3^(4-9)
= 3^-5
= 1 / 3^5
= 1/243</span>
7 0
3 years ago
Read 2 more answers
I need help pls I would appreciate it
KengaRu [80]
1.) D
2.) D
3.) C
4.) C
5.) 56 and 90 I looked for the pattern and followed it.
Get someone else to do 6 I cant
6 0
3 years ago
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