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xxMikexx [17]
3 years ago
5

Which variable expression represents the number of raisins Parker ate ? I’m not

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0
The answer is D
\frac{d}{3}
it could he written 1/3 times d which represents the number of raisins David it. Yet, it 1/3 times d are multiplied together, the simplest form of the expression is d over 3.
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Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}  \\

From the question

a = 1 , b = 5 , c = 13

So we have

k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

k_1 =  \frac{ - 5 + 3 \sqrt{3} \: i }{2}  \:  \:  \:  \: or \\ k_2 =  \frac{ - 5 - 3 \sqrt{3}  \: i}{2}

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

Hope this helps you

8 0
3 years ago
Find the equation of the line containing the point (3, 3) and parallel to the line
DIA [1.3K]

Answer:

y = 2x - 3

Step-by-step explanation:

Parallel lines have the same slope

only the constant changes

y = 2x + b

To find "b"

Plug in point (3, 3)

3 = 2(3) + b

3 = 6 + b

Subtract 6 from both sides

-3 = b

The equation for the parallel line is

y = 2x - 3

3 0
2 years ago
A
rjkz [21]

The other leg is 12cm long.

Step-by-step explanation:

Given,

Hypotenuse = c = 15cm

One leg = a = 9cm

Other leg = b

As the triangle is right angled, therefore, using Pythagoras theorem;

a^2+b^2=c^2\\(9)^2+b^2=(15)^2\\81+b^2=225\\b^2=225-81\\b^2=144\\

Taking square root on both sides;

\sqrt{b^2} =\sqrt{144} \\b=12\ cm

The other leg is 12cm long.

Keywords: triangle, square root

Learn more about triangles at:

  • brainly.com/question/5461619
  • brainly.com/question/5510873

#LearnwithBrainly

3 0
3 years ago
Can anyone help me with this question?
poizon [28]

Answer:

45 and 13…......

Step-by-step explanation:

devide

6 0
2 years ago
If the point (a, 7) lies on the graph of the equation 5x - y = 8, then a=<br><br> -3<br> 3<br> 1/5
goblinko [34]
(a,7) => x=a, y=7

5x-y=8
5a-7=8
5a=15
a=3
8 0
3 years ago
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