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Andrews [41]
3 years ago
12

draw a rectangle give the length and the width to show that it has an area of 12cm make sure one side is longer than the other t

o show length and width
Mathematics
1 answer:
Elden [556K]3 years ago
3 0
To find area, you multiply length * width. There are 4 sides on a number, so we need to have a equation like this. x * x * y * y = 12cm. If we do 4 * 4, we get 8. We could also use 2 * 2 = 4. 8 + 4 = 12. So, width = 8, and length = 4.

Hope this helps! ☺♥
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If 2000 dollars is invested in a bank account at an interest rate of 6 percent per year, find the amount in the bank after 7 yea
AfilCa [17]

Answer:

$3007.26

Step-by-step explanation:

Step one:

given data

Principal= $2000

rate= 6%= 0.06

time= 7years

Required:

The final amount A

Step two:

the expression for the compound interest is

A= P(1+r)^t

substituting we have

A= 2000(1+0.06)^7\\\\A= 2000(1.06)^7\\\\A=2000*1.50363\\\\A=3007.26

6 0
3 years ago
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Answer:

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8 0
3 years ago
Find the value of X. Quickly 100 points
Mrac [35]

Answer:

x=30

Step-by-step explanation:

2x+2x+x+x=180

6x=180

x=30

4 0
2 years ago
Read 2 more answers
The point A(0,3) and point B(4,19) lie on the line L.<br> Find the equation of line L
IRISSAK [1]

Answer:  The equation is   y = 4x+3

Slope = 4

y intercept = 3

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

Explanation:

Let's start off by finding the slope.

A = (x_1,y_1) = (0,3) \text{ and } B = (x_2,y_2)  = (4,19)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{19 - 3}{4 - 0}\\\\m = \frac{16}{4}\\\\m = 4\\\\

The slope is 4.

The y intercept is 3 because of the point (0,3)

We go from y = mx+b to y = 4x+3

m = slope

b = y intercept

---------------

Check:

Plug in x = 0 and we should get to y = 3

y = 4x+3

y = 4(0)+3

y = 0+3

y = 3

That works out. Now try x = 4. It should lead to y = 19

y = 4x+3

y = 4(4)+3

y = 16+3

y = 19

The answer is confirmed.

4 0
2 years ago
1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the
Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation

\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

f(x)=e^{3x}+\cos(5x),

g(x)=e^{3x}-\cos(5x),

h(x)=\cos(5x).

Then, letting α = 1, β= -1 and ω = -2, we see that:

\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0
3 years ago
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