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MAVERICK [17]
3 years ago
5

One number is 14 more than another. the sum of two numbers is 20. find the numbers.

Mathematics
1 answer:
patriot [66]3 years ago
4 0

The number is 6 because 14+6=20 and 6 is less than 14. Hope this helps.

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What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
3 years ago
What is the y value in the solution to this system of linear equations?
Travka [436]

Answer:

The y-value is -20

Step-by-step explanation:

So let's solve this by Elimination method;

-2(4x + 5y = -12)

4(2x + 3y = -16)

Let's Distribute;

-8x - 10y = 24

8x + 12y = -64

So x cancels out because -8 + 8 = 0

-10y + 12y = 2y

24 - 64 = -40

2y = -40

Divide both sides by 2;

y = -20

Now lets plug in y to find the value of x;

4x + 5(-20) = -12

4x - 100 = -12

Add 100 to both sides;

4x = 88

Divide both sides by 4;

x = 22

8 0
3 years ago
My mom walks 1 mile in 14<br> minutes. If she walked for 56<br> minutes, how far did she walk?
marysya [2.9K]

Answer:

4 miles

Step-by-step explanation

If your mom can walk 1 mile in 14 minutes then 2 miles would take her 28 minutes 3 miles would take her 42 minutes and finally if she walked 4 miles it would take her 56 minutes.

14 + 14 + 14 + 14 = 56

14 x 4 = 56

3 0
3 years ago
Identify the slope and y intercept of the line having equation y=-8x-15
Harrizon [31]

Answer: the slope would be a negative slope with -15 as the y intercept.

Step-by-step explanation:

3 0
3 years ago
How many 4-digit multiples of 7 are there?
Liono4ka [1.6K]

Answer:

1286, I think

Step-by-step explanation:

3 0
3 years ago
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