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MariettaO [177]
2 years ago
15

Find a quadratic equation with integer coefficient ,if one of the roots is 7-root3

Mathematics
1 answer:
solmaris [256]2 years ago
6 0
One of the roots of a quadratic equation is 7 - √3.

Because rational roots occur in conjugate pairs, the other root is 7 + √3.
The quadratic equation is
(x -(7-√3))(x - (7+√3))
= x² - (7+√3)x  - (7-√3)x + (49-3)
= x² - 7x - (√3)x - 7x + (√3)x + 46
= x² - 14x + 46

Answer: x² - 14x + 46


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Write2.1 as a mixed number and as an improper fraction.<br> Do not try to simplify your answers.
Elden [556K]

Answer:

2 1/10 and 21/10

Step-by-step explanation:

2.1 is 2 + 0.1 when expanded.

2 is just 2 and then 0.1 as a fraction is 1/10. The mixed number would be                 2 1/10.

The improper fraction  is just 21/10 (convert the mixed number into improper form).

Converting from mixed number to improper: <u>Multiply the number in the front (in this case 2) by the denominator. </u>

<u />

<u>That is 2 x 10 which is 20. Then add that number (20) to the numerator. 20 + 1 is equal to 21. </u>

<u />

<u>21 would be our numerator and the denominator would stay the same (10). </u>

21/10 is the improper form.

8 0
2 years ago
Point R is located on segment QS. If QR = 10 and RS = 7, what is the measure of QS?
Vadim26 [7]

Answer:

QS = 17 units

Step-by-step explanation:

Given:

R located at QS

QR = 10

RS = 7

Find:

Measure of QS

Computation:

QS = QR + RS

QS = 10 + 7

QS = 17 units

6 0
3 years ago
Tino and Kate are tailors sewing buttons on shirts . Each shirt needs 8 buttons . Together, the tailors attach 80 buttons . If t
Crazy boy [7]
If each shirt needs eight buttons you find out what times (×) Eight equals (=) 80
8×10=80
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but they ask how many Timor made so you do 10 ÷ 2= 5

Timor Made Five (5) Shirts
8 0
3 years ago
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Factor x^3−5x^2−25x+125
UkoKoshka [18]
(x-5)^2 . ( x+5)
=( x^2 - 10x + 25) . ( x+ 5)
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2 years ago
An amount a divided by 17
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What’s the question for it?
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