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sukhopar [10]
3 years ago
9

The model represents x2 - 9x + 14 Which is a factor of x2 - 9x + 14? OX-9 OX-2 X+5

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0

Answer:

  • x - 2

Step-by-step explanation:

The expression can be factored using the factors of 14, 2 and 7, which add to give 9.

  x² -9x +14 = (x -2)(x -7)

One of the factors is (x -2).

Alexxandr [17]3 years ago
7 0

Answer:

x - 2

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 14) which sum to give the coefficient of the x- term (- 9)

The factors are - 7 and - 2, since

- 7 × - 2 = + 14 and - 7 - 2 = - 9, thus

x² - 9x + 14 = (x - 7)(x - 2) ← in factored form

Thus (x - 2) is a factor of the expression

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If two angles are complementary. One angle measures 22 degrees. And the other angle measures 2x degrees, what is the value of x?
levacccp [35]

Answer:

x=34

Step-by-step explanation:

34*2=68

68+22=90

A complementary angle adds up to 90 degrees.

5 0
3 years ago
How to reduce into simpler terms.?
Sveta_85 [38]

Answer:

The simplest form of the fraction \frac{45}{100}  is  \frac{9}{20}.

i.e.

\frac{45}{100}=\frac{9}{20}

Step-by-step explanation:

Here are some simple observations regarding how to reduce a fraction into simpler terms:

  • A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
  • In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .

So, lets take a sample fraction and reduce into simpler terms.

Considering the fraction

\frac{45}{100}

\mathrm{Find\:a\:common\:factor\:of\:}45\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}

\mathrm{Greatest\:Common\:Divisor\:of\:}45,\:100:\quad 5

\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}

45=5\cdot \:9\mathrm{,\:\quad }100=5\cdot \:20

so

\frac{45}{100}=\frac{5\cdot \:\:9}{5\cdot \:\:20}

\mathrm{Cancel\:the\:common\:factor:}\:5

     =\frac{9}{20}

Therefore, the simplest form of the fraction \frac{45}{100}  is  \frac{9}{20}.

i.e.

\frac{45}{100}=\frac{9}{20}

4 0
3 years ago
A 32 year old mother realized that her age is twice the sum of her two children ages. Her son Jose is two years older than her d
jenyasd209 [6]
Again, guess and test should work perfectly fine.  Since 2(x+y)=32, x+y = 16. Because y-2 =x, y could be = 9 and x = 7. Hope that help!
3 0
3 years ago
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Determine the slope of a line that is perpendicular to the line 2y = 3x – 6.
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Answer:

perpindicular slope = -2/3

Step-by-step explanation:

4 0
2 years ago
What type of triangle is formed by joining the points D(7, 3), E(8, 1), and
KiRa [710]

D(7, 3), E(8, 1), and  F(4, -1)

We calculate the squared distances between the points:

DE^2 = 1^2 + 2^2 = 5

EF^2=4^2+2^2=20

DF^2=3^2+4^2=25

Since DF^2=DE^2+EF^2 we have a right triangle with hypotenuse DF.

7 0
3 years ago
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