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2 years ago

Simplify using factorising 2x+4/x^{2}-x-6

Mathematics

1 answer:

Nutka1998 [239]2 years ago

6 0

Answer:

$\frac{2x+4}{x^{2}-x-6 } \\\frac{2x+4}{x^{2} +2x-3x-6} \\\frac{2x+4}{x(x+2)-3(x+2)} \\\frac{2x+4}{(x-3)(x+2)}$

Step-by-step explanation:

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Which point lies on the circle represented by the equation (x+5) + (y-9) = 8

olga_2 [115]

Answer:

(-5,9+√8)

Step-by-step explanation:

There are two ways in which you can find a point that lies in the circle. One of them is to do y the subject of the formula, and another one is to determine the center of the circumference, and with the information of the radius, you can sum this value upward or downward.

the general equation of a circle is:

$(x-h)^2+(y-k)^2=r^2$

with center at (h,k)

you have the following equation:

$(x+5)^2+(y-9)^2=8\\\\h=-5\\\\k=9\\\\r=\sqrt{8}$

Then, the center is (-5,9)

if you sum the value of the radius in one of the fourth directions (up, down, left, right), for example upward you have

$(-5,9+r)=(-5,9+\sqrt{8})$

Then, one point that lies in the circle is (-5,9+√8)

3 0

3 years ago

Assume all variables represent non negative numbers . Help please!!

Dafna1 [17]

Answer:

A). $2p^{8}$

B). $3m^{7}$

Step-by-step explanation:

A). $\sqrt{4p^{16}}$

To get the square root of the given expression we will convert it into the square form.

$4p^{16}=(2)^2(p^{8})^2$ [Since 2×2 = 4 and $p^{8}\times p^{8}=p^{16}$ ]

Therefore, $\sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }$

$=2p^{8}$

B). $\sqrt{9m^{44}}$

Since, $9m^{14}=(3)^2\times (m^7)^2$

Therefore, $\sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2}$ [Since 3² = 9 and (m⁷)² = m¹⁴]

$=3m^{7}$

7 0

3 years ago

Ab(-2 13)(0 3) CD (-5 0)(10 3) parallel lines identify please help

mojhsa [17]

Answer:

they are not parallel

Step-by-step explanation:

they intersect eachother

3 0

3 years ago

Simplify the radical

olga55 [171]

Answer:

Step-by-step explanation:

$\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}$

5 0

2 years ago

Directions: Find the complemen

andre [41]

Given:

The angles are:

Example $54^\circ$

1. $63^\circ$

2. $87^\circ$

3. $45^\circ$

4. $72^\circ$

5. $5^\circ$

To find:

The complimentary angle of the given angles.

Solution:

If two angles are complimentary, then their sum is 90 degrees.

Example: Let x be the complimentary angle of $54^\circ$ , then

$x+54^\circ=90^\circ$

$x=90^\circ -54^\circ$

$x=36^\circ$

Similarly,

1. The complimentary angle of $63^\circ$ is:

$90^\circ -63^\circ=27^\circ$

2. The complimentary angle of $87^\circ$ is:

$90^\circ -87^\circ=3^\circ$

3. The complimentary angle of $45^\circ$ is:

$90^\circ -45^\circ=45^\circ$

4. The complimentary angle of $72^\circ$ is:

$90^\circ -72^\circ=18^\circ$

5. The complimentary angle of $5^\circ$ is:

$90^\circ -5^\circ=85^\circ$

Therefore, the complimentary angles of $54^\circ, 63^\circ, 87^\circ, 45^\circ, 72^\circ, 5^\circ$ are $36^\circ, 27^\circ, 3^\circ, 45^\circ, 18^\circ, 85^\circ$ respectively.

6 0

3 years ago