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UkoKoshka [18]
3 years ago
12

Find the perimeter and area of rectangle ABCD.

Mathematics
2 answers:
nikklg [1K]3 years ago
8 0
Add up all the sides which should equal 32
Mariana [72]3 years ago
4 0

Answer: The perimeter is the sum of all sides

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For which positive integer values of $k$ does $kx^2+20x+k=0$ have rational solutions? Express your answers separated by commas a
Musya8 [376]

Answer:

-10,10

Step-by-step explanation:

The given quadratic equation is

k {x}^{2}  + 20x + k = 0

The discriminant of this equation is given by;

D =  {b}^{2}  - 4ac

where a=k, b=20, c=k

For rational solutions, the discriminant must be zero.

{20}^{2}  - 4 \times k \times k = 0

Simplify to get:

400 - 4  {k}^{2}  = 0

This implies that:

400  = 4  {k}^{2}

100 =  {k}^{2}

Take square root to get:

k =   \pm\sqrt{100}

k =  \pm10

k =  - 10 \: or \: k = 10

3 0
3 years ago
What is 0.40506100 in scientific notation
Olenka [21]

Answer:

4.0506100 x 10^-1

Step-by-step explanation:

Because all you need to do is move the decimal point to the right once, you write 10^-1 to show that to get back to the original number, you just multiply 4.0506100 by -0.1

7 0
3 years ago
In two or more complete sentences describe how to determine if the function, f(x) = 3sin(x) is odd using algebra.
Alex17521 [72]
For odd functions f(-x) = -f(x).

Given that f(x) = 3sin(x)
f(-x) = 3sin(-x) = -3sinx = -f(x).

Therefore, f(x) = 3sin(x) is an odd function.
4 0
3 years ago
A certain pet store sells only dogs and cats. In
Leona [35]
They sold 300 dogs and 200 cats
6 0
2 years ago
At a certain time of day, a 30-foot building casts a 10 foot shadow. How tall is a person who casts a 2 foot shadow?
Anni [7]

Answer:

C)  6 feet

Step-by-step explanation:

set up a proportion of height/shadow = height/shadow

30/10 = h/2

cross-multiply:

10h = 60

h = 6

4 0
2 years ago
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