What is the value of b in the equation below?
9^-6 . 9^-2= a^b
A. -10, B. -6, C. 9, D. 16

Following are the simplification to the given equation:

Given:

[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]

To find:

simplify=?

Solution:

Using formula:

[tex]\to (a^2-b^2)= (a+b)(a-b)[/tex]

[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]

In the numerator part common the value 4x and in the denominator we common the value 2 then:

[tex]\to \frac{4x^2+ 4x}{2x^2-2}= \frac{4x(x+ 1)}{2(x^2-1)}\\[/tex]

               [tex]= \frac{4x(x+ 1)}{2(x^2-1^2)}\\\\= \frac{4x(x+ 1)}{2(x-1)(x+1)}\\\\= \frac{4x}{2(x-1)}\\\\= \frac{2x}{(x-1)}\\\\[/tex]

Therefore, the final answer is "[tex]\frac{2x}{(x-1)}\\\\[/tex]"

Learn more about the Simplify:

brainly.com/question/24449175

The correct answer is (2 x)/(x - 1).

To simplify.

(4 x²+ 4 x)/(2 x²-2) = 4 x(x + 1)/2(x² - 1)

By this formula

(x² - 1²) = (x + 1)(x - 1).

4 x(x + 1)/2(x + 1)(x - 1) = (2 x)/(x - 1).

Therefore, simplification of (4 x²+ 4 x)/(2 x²-2) is  (2 x)/(x - 1).

Learn more about simplification here:

https://brainly.com/question/23509407

#SPJ6

Answer:

The answer is 6

Step-by-step explanation:

(0,6)

x=0,y=6

Substituting 0 for x and 6 for y

6=2(0) + b

6=b

or

6 = 3(0)+b

6=b

Therefore, b=6

Answer:

it will tale 11weeks to pay back his friends and he will have $112left after.

Step-by-step explanation:

88÷8=11.

200- 88 =112

Answer:

yes this is true helpful answer

Answer:

Option A is correct

Step-by-step explanation:

Please Mark me brainlist

Answer:

A

Step-by-step explanation:

Given that f(x) is 2x-6, and g(x) is 3x+9, all we have to do is subtract in order to find (f(x)-g(x)):

[tex](f(x)-g(x))=\\\2x-6-(3x+9)=\\2x-6-3x-9=\\-x-15[/tex]

[tex]\fbox{A}[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

[tex]Amount = 49 + 14.99k[/tex]

Step-by-step explanation:

Given

[tex]Books = 24[/tex]

[tex]Another\ Store = 25[/tex]

[tex]Model = k[/tex]

Cost of [tex]Model = 14.99[/tex] --- Missing from the question

Required

Represent the amount spent

The amount is calculated as:

[tex]Amount = Books + Another\ Store + Model * Cost[/tex]

[tex]Amount = 25 + 24 + k * 14.99[/tex]

[tex]Amount = 49 + 14.99k[/tex]

Answer:

A = 66 m²

Step-by-step explanation:

The figure is composed of 2 rectangles.

area of lower rectangle = 8 × (10 - 7) = 8 × 3 = 24 m²

area of upper rectangle = 6 × 7 = 42 m²

total area A = 24 + 42 = 66 m²

Step-by-step explanation:

a) Given,

Total marks in English = 90

Marks scored by James = 60

Therefore,

Percentage of marks scored

[tex] = \frac{60}{90} \times 100[/tex]

= 66.67% (approx. )

Then,

Total marks in Science = 150

Marks scored by James = 78

Therefore,

Percentage of marks scored

[tex] = \frac{78}{150} \times 100[/tex]

= 52%

At last,

Total marks in Maths = 120

Marks scored by James = 75

Therefore,

Percentage of marks scored

[tex] = \frac{75}{120} \times 100[/tex]

= 62.50%

b) In English test James scored highest percentage.

Answer: 10.3

Step-by-step explanation:

Answer:

The cost of the car is $ RS 308,000.

Step-by-step explanation:

Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:

100 - 12 = 88

88/100 = 0.88

350,000 x 0.88 = X

308,000 = X

Therefore, the cost of the car is $ RS 308,000.

Answer:

x=13.84

Step-by-step explanation:

3x + 5x + 5x = 180 degree (sum of interior angles of a triangle is always 180 degeree)

13x = 180

x=180/13

x=13.84

therefore value of x is 13.84  degree

======================================================

Explanation:

If you have exactly one right angle, then it is possible to have no parallel lines.   See the diagram below. Refer to the upper figure.

If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.

If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.

It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.

Answer:

d

Step-by-step explanation:

ddddddddddddddddddddddddddfffffdff

I think the answer Is B but i am not sure

Answer:

7 in 12 chance

Step-by-step explanation:

theres 12 pieces and cherry and grape has 7 combined pieces so the chance of you picking a piece that is either cherry or grape is 7/12

Answer:

∠ DCB = 28°

Step-by-step explanation:

∠ ACD = 180° - (90 + 28)° = 180° - 118° = 62° , then

∠ DCB = 90° - 62° = 28°

Answer:

-4/3

Step-by-step explanation:

let (13,-4) be (x1,y1) respectively

(1,12) be (x2,y2) respectively

From,

slope=(y2 -y1)/(x2-x1)

=(12+4) /(1-3)

=16/-12

=-4/3

Answer:

x²+4² =8²

x²+16 =64

x² =64-16.

x² =48

x. =√48

answer is option D

Answer:

D

Step-by-step explanation:

The segment x is a perpendicular bisector and divides the triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take the square root of both sides )

x = [tex]\sqrt{48}[/tex] → D

Answer:

C. [tex]9\pi[/tex]

Step-by-step explanation:

We proceed to solve for [tex]x[/tex] by the Pythagorean Theorem:

[tex](x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}[/tex] (1)

[tex]x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)[/tex]

[tex]x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17[/tex]

[tex]4\cdot x^{2} -20\cdot x + 16 = 0[/tex]

[tex](2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0[/tex]

[tex](2\cdot x -8)\cdot (2\cdot x -2) = 0[/tex]

There are two different solutions:

[tex]x_{1} = 4[/tex], [tex]x_{2} = 1[/tex]

A solution of [tex]x[/tex] is considered realistic when the length of every side of the triangle is a not negative number.

[tex]x_{1} = 4[/tex]

[tex]UV = 2\cdot (4) - 4[/tex]

[tex]UV = 4[/tex]

[tex]WU = 4 - 1[/tex]

[tex]WU = 3[/tex]

[tex]WV = 4 + 1[/tex]

[tex]WV = 5[/tex]

[tex]x_{2} = 1[/tex]

[tex]UV = 2\cdot (1) - 4[/tex]

[tex]UV = -2[/tex]

[tex]WU = 1 - 1[/tex]

[tex]WU = 0[/tex]

[tex]WV = 1 + 1[/tex]

[tex]WV = 2[/tex]

The only realistic set of solutions is for [tex]x = 4[/tex], and the radius of the circle is represented by the line segment [tex]WU[/tex]: [tex]r = 3[/tex]

And the area of the circle ([tex]A[/tex]) is calculated from the following formula:

[tex]A = \pi\cdot r^{2}[/tex]

[tex]A = \pi\cdot (9)[/tex]

[tex]A = 9\pi[/tex]

The correct answer is C.

Answer:

si

Step-by-step explanation:

cuando sumamos la medida de un ángulo en el par con el otro ángulo en el par, el total será 180 grados.

No, the student is not correct. Because sum of a pair of adjacent angles not always sum up to 180°.

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

The sum of the measures of a pair of adjacent angles can be any number, including 180 degrees, but it does not have to be 180 degrees.

No, the student is not correct. Because sum of a pair of adjacent angles not always sum up to 180°.

To learn more about the adjacent angles visit:

https://brainly.com/question/12838185.

#SPJ2

Answer:

I think there are 23 students in the art class.

Step-by-step explanation:

You first subtract 9 from 101. Then, you divide by four to get 23.

Answer:

B. 16,000 pencils

Step-by-step explanation:

3,848 * 4 is 15,392

Answer:

b

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

First we need to figure out what g equals

Since 6 x 8 = 48 your answer would be 8

6 x 8 = 48

~ LadyBrain

The value of g that satisfies the equation is 8.

To solve the equation 6g = 48 and find the value of g, we can isolate the variable g by dividing both sides of the equation by 6:

6g / 6 = 48 / 6

This simplifies to:

g = 8

Therefore, g equals 8. By dividing both sides of the equation by 6, we find that when g is multiplied by 6, it results in 48. Hence, the value of g that satisfies the equation is 8.

To know more about equation:

https://brainly.com/question/10724260

#SPJ6

[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]

[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]

[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]

Answer:

345

Step-by-step explanation:

The answer is 345 because you divide 1380 by 4 which is 345.

Answer:

y = 3x + 6

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - (-6) / 1 - (-4)

15/5

= 3

y = 3x + b

9 = 3(1) + b

9 = 3 + b

6 = b

Answer:

C

Step-by-step explanation:

because area of a circle = πr2. in this case 12 is a diameter and 6 is radius because u have to half the diameter to work work out the radius. use the equation and u will get the answer which is C.

hope this helps u understand :)