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4 years ago

Simplify the expression

Mathematics

2 answers:

sasho [114]4 years ago

7 0

Answer:

$\frac{(x+1)}{5x}$

Expression:

$\frac{x^{2}-8x-9 }{5x^{2} -45x}$

Factorise the expression:

Numerator:

x^2 - 8 - 9

Find a pair of factors of c, that summed, make b. And decide whether the numbers are positive or negative.

1 * 9 = 9

-1 * 9 = -9

1 * -9 = -9

-1 * -9 = 9

1 + 9 = 10

1 - 9 = -8

-1 + 9 = 8

-1 - 9 = -10

The factors are

(x+1) and (x-9)

Denominator

5x^2 - 45x

Remove the factor here is visible - 5x.

Divide the expression by 5x.

5x(x - 9)

Both expressions have a common factor - (x - 9). This will cancel out.

Now you're left with:

(x+1)/5x

$\frac{(x+1)}{5x}$

mars1129 [50]4 years ago

4 0

Answer:

B but - is missing in the answer

Step-by-step explanation:

x² - 8x - 9

5x² - 45x

express

x × x - 8 × x - 9

5 × x × x - 45 × x

-8 - 9

5 - 45

18 -9 = 1 and 5 - 45 = -40

-1/40

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Answer:

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Step-by-step explanation:

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3 years ago

Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral a b c d the coordinates of a r the reflected q

Zina [86]

Solution :

From the figure,

The coordinates of --

A = (-5,-3)

B = (-6,-1)

C = (-3,-1)

D = (-2,-3)

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Now A'B'C'D' is translated 3 units to right, so the coordinates will be --

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B" = (-3,1)

C" = (0,1)

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When the quadrilateral moves third and two units up, we get

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3 years ago

A total of 100 students were surveyed

allsm [11]

I think the answer might be 21?

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3 years ago

Hey how to do this and what the answer

frez [133]

Answer:

5x + y - 4 = 0

Step-by-step explanation:

When we are given two points and are asked to find the equation of the line we use the two - point form.

Two - point form: $\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$ .

where: $(x_1,y_1)$ and $(x_2,y_2)$ are the two points on the line.

Given the two points are: (5,21) and (-5,-29).

Substituting in the two point form:

⇒ $\frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5}$

$\implies \frac{y - 21}{-50} = \frac{x - 5}{-10}$

$\implies y - 21 = 5x - 25$

⇒ 5x + y - 4 = 0

8 0

3 years ago

What k-1/3=5/6 equal ?

JulijaS [17]

The value of "K"

$k -\frac{1}{3} = \frac{5}{6}$

MMC (3,6)
3,6 | 3
1,2 | 2
1,1 |__ 3*2 = 6

Solving:
$k -\frac{1}{3} = \frac{5}{6}$
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cancel denominators (6)
$6k - 2 = 5$
$6k = 5+2$
$6k = 7$
$\boxed{k = \frac{7}{6} }$

7 0

3 years ago