Help me!!! Find the domain of the function. Write the answer in interval notaion.

Answer:

Step-by-step explanation:

y = (x + 5)(x - 5)

  = x² - 5²

 = x² - 25

Degree of this polynomial is 2.

Highest power of the variable x will be the degree of the polynomial.

Answer:

-8

Step-by-step explanation:

(7)*(-8) = -56

(-56) - (-8) = -48

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Answer:

6^10

Step-by-step explanation:

6^2 * 6^11

-----------------

6^3

First simplify the numerator.  We know a^b*a^c = a^(b+c)

6^(2+11)

-----------------

6^3

6^(13)

-----------------

6^3

Then a^b / a^c = a^(b-c)

6^(13-3) = 6^10

Answer:

6^10

Step-by-step explanation:

To solve this you need to remember 2 things.

First off, multipication is addition with exponents.

And secondly, division is subtraction with expoinents.

So on the top we have 6^2*6^11

So this is really 6^11+2

=

6^13

Now we need to divide by 6^3:

6^13/6^3

And this would tecnically be:

6^13-3

=

6^10

So the expression 6^10 is your answer.

Hope this helps!

Answer:

6

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

I took the test :)

Answer:

A grizzly bear's normal heart rate when not hibernating is about 50 beats per minute.

Step-by-step explanation:

10÷50=.20

Answer:

The center is (2, -7)

Step-by-step explanation:

A circle is given by

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

where(h,k) is the center and r is the radius

(x - 2)^2 +(y + 7)^2 =169

(x - 2)^2 +(y -  -7)^2 =13^2

The center is (2, -7) and the radius is 13

Answer:

b) 2

Step-by-step explanation:

both angles have the same values, they are technically opposites.

Set your formula up as

130 = 66x - 2

130 + 2 = 66x

132/66 = x

2 = x

Answer:

[tex]V=210\ cm^3[/tex]

Step-by-step explanation:

The legs measuring 10 cm and 14 cm.

The height of the pyramid is 9 cm.

We need to find the volume of the pyramid. The formula for the volume of a right pyramid is given by :

[tex]V=\dfrac{1}{3}Bh[/tex]

Where

B is area of base,

[tex]B=\dfrac{1}{2}\times 10\times 14=70\ cm^2[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 70\times 9\\\\V=210\ cm^3[/tex]

So, the volume of the right pyramid is equal to [tex]210\ cm^3[/tex].

Answer:

A

Step-by-step explanation:

Geometry

The answer is A, due to 3 and 2 being vertical.

Answer:

[tex]xy^3 \sqrt[4]{y^3}[/tex]

Step-by-step explanation:

Recall the exponent property [tex]a^b+a^c=a^{(b+c)}[/tex].

We can use this property to break the problem down:

[tex]\sqrt[4]{x^4y^{15}}=\sqrt[4]{x\cdot x\cdot x\cdot x\cdot y^3\cdot y^3\cdot y^3\cdot y^3\cdot y^3}=\boxed{xy^3 \sqrt[4]{y^3}}[/tex]

Answer:

[tex]xy^3\sqrt[4]{y^3}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{x^4y^{15}} =\sqrt[4]{x^4}*\sqrt[4]{y^{15}}\\\\=x\sqrt[4]{y^{15}}\\\\=x(\sqrt[4]{y^{12}} *\sqrt[4]{y^3})\\\\=xy^3\sqrt[4]{y^3}\\\\\\\sqrt[4]{y^{12}} =y^{12/4}=y^3 \\\\\sqrt[4]{x^4} =x^{4/4}=x[/tex]

Answer: ik the second one

Step-by-step explanation: every month you have to add 500 dollars .

Amount of money owed

1 = 500

2 = 1000

3 = 1500

etc

Answer:

625

Step-by-step explanation:

5 times 5 is 25. 25 times 5 is 125. 125 times 5 is 625. Notice how I multiplied 5 repeatedly 4 times.

Answer:

625

Step-by-step explanation:

5 x 5 (=25) x 5 (=125) x 5 = 625

Hope this helps :)

Answer:

Step-by-step explanation:

D) Has a five sided shape as a base so its a pentagon-based pyramid

E)Two pentagons and retangular sides Pentagonal Prism

F)All sides and bases are rectangular so Rectangular Prism

G) Eight sided base and triangle shaped sides, Octogon-based Cone

Answer:

y = 1/4x

Step-by-step explanation:

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

As the six-sided number cube had six sides, there are six events which could occur. There is only one interger less than 2 (1), therefore the probability of rolling a number less than 2 is [tex]\frac{1}{6}[/tex].

There are two events which could occur when flipping a coin. This means the probability of flipping heads is [tex]\frac{1}{2}[/tex].

To find the probability of both of these happening, you must multiply the fractions together by multiplying together both the denominators and numerators, therefore:

[tex]\frac{1}{6}[/tex] ×  [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{18}[/tex]

Answer:

1/12

Step-by-step explanation:

There is only one number less than two, which is 1, so you have 1/6 chance of getting a number less than two

Since a coin has two sides, you have 1/2, or 50% chance of landing on heads

If you multiply both of them, which is 1/6 times 1/2, you will get 1/12, since 1 times 1 is still 1, and 6 times 2 is 12.

line y = − x / 5 + 4 / 5

slope( m1) = -1/5

Slope of required line( m2) = 5

[as it is perpendicular to given eqn of line

m1×m2= -1

m2=1/m1= 5]

y-4= 5(x+3)

y-4=5x+15

y=5x+19

Answer:

14/15 :]

Step-by-step explanation:

you dont have to follow me buts its appreciated!

Answer: $775.50

explanation: I just looked it up and another website had the same question but also had the answer

Answer:

x = [tex]\frac{3+\sqrt{105} }{8} , \frac{3-\sqrt{105} }{8} x=1.655,-0.905[/tex]

Step-by-step explanation:

3x+6 = 4x^2

4x^2 -3x -6 = 0

x = [tex]\frac{3+\sqrt{105} }{8} , \frac{3-\sqrt{105} }{8} x=1.655,-0.905[/tex]

Answer:

55 sq. in.

Step-by-step explanation:

Area of figure

= area of triangle + area of rectangle

height of triangle = 6 in.

base of triangle = 6/(sqrt(3)/3) = 18/sqrt(3)

Area of triangle = 6*18/sqrt(3) /2 = 54/sqrt(3) = 31.18 sq. in.

Area of rectangle = 6 * 4 = 24 sq. in

Area of figure = 31.18+24 = 55.18 sq. in

[tex]55[/tex]

The answer is b

Answer:

see screenshot

general formula is

r² = (x - x-center)² + (y - y-center)²

Answer:

78.54

Step-by-step explanation:

[tex]A = \pi r^{2} \\A = \pi 5^{2} \\A = 78.54[/tex]

Answer:

2(13x – 7)

Step-by-step explanation:

Step-by-step explanation:

RAMS SALARY=RS.200×20%

=40+200

=RS.240.00

ANSWER IS OPTION B

Answer:

231.04 ft²

Step-by-step explanation:

Area triangle = 1/2( 11.4 * 15.2)

Area triangle = 1/2( 173.28 )

Area triangle = 86.64 ft²

Area rectangle = 19 x 7.6

Area rectangle = 144.4 ft²

Area total = 86.64 ft² + 144.4 ft² = 231.04 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

After enlargement,

Parallel  sides are: 6*3 = 18 cm  & 10*3 = 30cm

Altitude = 5 *3 = 15 cm

Area =[ (sum of the length of parallel sides)*height] ÷2

      [tex]= \frac{(18+30)*15}{2}\\= \frac{48*15}{2}\\\\= 24 *15\\\\= 360[/tex]

Answer:

360 cm²

Step-by-step explanation:

The area (A) of the trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 5 , b₁ = 10, b₂ = 6 , then

A = [tex]\frac{1}{2}[/tex] × 5 × (10 + 6) = 2.5 × 16 = 40 cm²

Enlarging by a scale factor of 3 means the area is increased by a factor

3² = 9

area of scaled copy = 9 × 40 cm² = 360 cm²

Answer:

[tex]x=100\\y=60[/tex]

Step-by-step explanation:

The shape of the figure is quadrilateral, that means overall it will be 360 degrees.....

Angle of straight line to find x:

[tex]x+80=180[/tex]

[tex]x=180-80[/tex]

[tex]x=100[/tex]

Now, both the values of x will be 100

Find the value of y:

[tex]y+100+120+80=360[/tex]

[tex]y+300=360[/tex]

[tex]y=360-300[/tex]

[tex]y=60[/tex]

Therefore, [tex]x=100[/tex] and [tex]y=60[/tex]

hope this helps, have a good day.....

Answer:

89*

Step-by-step explanation:

To find the value of m<1, you need to find the angle right next to it (the third interior angle that isn't labeled).

To find that angle (let's call it x), we have to use an equation.

Since a triangle has a sum of 180* for the interior angles in it, then we can use that to solve for x.

x + 53 + 36 = 180

x + 89 = 180

x = 91

Now to find m<1, we need to use the supplementary angles theorem.

Since m<1 and x are supplementary angles, the sum of those angles would be 180. Using this, we can create an equation.

x + m<1 = 180

91 + m<1 = 180

m<1 = 89

Hence, m<1 is 89*!

Hope this helped! <3

Answer:

Step-by-step explanation:

12x-6/3

=12x/3 - 6/3

=4x-2

or

12x-6/3

take 6 common

6(2x-1)/3

2(2x-1)

4x-2

Answer:

4x -2

Step-by-step explanation:

(12x - 6) / 3

= 6 common

= 6(2x-1)/3

= 2(2x-1)

= 4x-2

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

x=20

Step-by-step explanation:

Since AB is a line it forms 180,

Set your formula up as

180=60+4x+40

180-60-40=4x

80=4x

80/4=x

20