Multiply and then simplify completely: ( 8 + √ 10 ) ( 8 − √ 10 )

Answers

Answer 1

Answer:

54.

Step-by-step explanation:

( 8 + √ 10 ) ( 8 − √10)

= 8*8  - 8√10 + 8√10  +√10 *  -√10

= 64 -  8√10 + 8√10 - 10

The 2 middle turns cancel out so we have:

64 - 10

= 54.


Related Questions

The students in your class are going on a field trip. The ratio of teachers to students must be 1 to 7.
Which graph shows the number of teachers needed for 28 students?

Answers

Answer:

4 teachers for 28 students

Step-by-step explanation:

28/7 = 4

jessica wondered if elementary school students tend to write more when they are given

Answers

full question plsAnswer:

Step-by-step explanation:

Find the identical expression for the following plz show work

Answers

THAT IS A VIRUS DO NOT GO TO IT DONT GO TO ANY LINK THEY ALL ARD VIRUSES

A piece of wood is 3 1/2 feet long how many total inches long is it?

Answers

Answer:

42 inches

Step-by-step explanation:

1 foot is 12 inches

12 times 3=36

12 divided by 2=6

36+6=42

Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft

Answers

Answer:

0.43 ft/hr

Step-by-step explanation:

dv/dt = 15ft³/hr

Height = 10ft

We are required to get dh/dt

h = 3r

r = h/3

Formula for volume = 1/3πr²h

We put value of h

1/3π(h/3)²h

= 1/3π(h²/9)h

= 1/3πh³/9

= πh³/29

dv/dt = 1/27π.3h²dh/dt

= dv/dt = πh²/9dh/dt

Remember dv/dt = 15

When we put this in we get

dh/dt = 15x9/3.142x10²

= 135/314.2

= 0.43 ft³/hr

Please check the attachment I added also to add you.

5/6 + (-4/9) - (-2), is this right??

Answers

Answer:

YES SIR OR I MEANT YES MAM

Help please thank uuuu

Answers

Answer:

B. x = 7; AB = 9, AC = 12

Step-by-step explanation:

12/4 = (x + 2)/(x - 4) (similar triangles theorem)

3 = (x + 2)/(x - 4)

Cross multiply

3(x - 4) = (x + 2)

3x - 12 = x + 2

Collect like terms

3x - x = 12 + 2

2x = 14

x = 14/2

x = 7

✔️AB = x + 2 = 7 + 2

AB = 9

✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)

AC = 9 + 3

AC = 12

PLEASE HELP ASAP
TRIGONOMETRY

Answers

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

   cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(x) = [tex]\frac{27}{30}[/tex]

   x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]

   x = 25.84

   x ≈ 25.8°

12). By applying tangent rule in the given triangle,

    tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(x) = [tex]\frac{43}{18}[/tex]

    x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]

    x = 67.29°

    x ≈ 67.3°  

2) The number of rose blooms in Betty's garden is 24 more than the number of blooms in May's garden. There
are at least 135 rose blooms in Betty's garden. How many blooms are possible in May’s garden?

Answers

Answer:

There are at least 111 rose blooms in May's Garden.

Step-by-step explanation:

135-24 is 111 and Betty doesn't have a maximum of rose blooms so that means she can have an infinite amount but it also means that may can't have less than 111.

Please let me know if I am incorrect

What is the area of this figure?

Enter your answer in the box.

___in^2

Answers

Answer:

400

Step-by-step explanation:

8*20/2+16*20=400.

Ignore the answer I chose it didn't let me click off of it

Answers

Answer:

d i think

Step-by-step explanation:

pretty sure it would be d

2(3x - 32y) + 3(-2x - 4y)

Answers

the answer to this is > -76y

Part B: Which box-and-whisker plot displays
Mario's data?


Brainliest quick

Answers

Answer:

Step-by-step explanation:

i think it's D i have the same test today

Answer:

C cause it has to be 54 then the median is 58

Step-by-step explanation:

giving brainliest *easy*

Answers

Answer:

pi

Step-by-step explanation:

to convert angles to radians you must multiply the angle measurement by the formula pi/180

180 x pi/180

the 180s cancel out and you are left with pi

Answer:

3.14159 Radian

Step-by-step explanation:

3.142rad × 180/π = 180°

The mass of the Sun is about 2 × 10^27 metric tons, or 2 × 10^30 kilograms. How many kilograms are in one metric ton?

Answers

Answer:

[tex]\frac{2 * 10^{30} }{2 * 10^{27} } = 10^{3} kg[/tex]

What is x in 1/150/1/200x2=x

Answers

Answer:

6.66666667E-5

hope this helped a bit!

MY TEAS GONE COLD I WONDERJNV WHY I GOT OUTTA BED ALONE HELP PLEASE

Answers

Answer:

54

Step-by-step explanation:

2/3(7-16)^2

2/3(-9)^2

2/3*81

54

Write the ratios of each for the given triangle below
SinA=
CosA=
TanA=
SinB=
CosB=
TanB=

Answers

Answer:

i have made it in above picture

HHHEEELLLPPPPP MMMMMMEEEEEE!!!!!!

Which is the graph of the function g(x)=−x^2−4x−1?

Answers

Answer:

its a, the first one

Step-by-step explanation:

i graphed it have a good day (:

Solve for x (use steps i need to learn this pls)

Answers

Answer:

x = 14

Step-by-step explanation:

The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:

24*x = 21*16

24x = 336

Divide both sides by 24

24x/24 = 336/24

x = 14

Find the errors and correct the following mathematical sentences.​

Answers

Answer:

This is your answer

Pls help

Find the surface area of the composite figure.

Answers

Answer:

644 cm³

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)

✔️Surface area of upper cuboid = 2(LW + LH + WH)

L = 3

W = 3

H = 8

Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²

✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)

L = 12

W = 10

H = 7

Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²

✔️Base area of upper cuboid = L*W

L = 3

W = 3

Base area = 3*3 = 9 cm²

✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³

How much will a shopper save on a TV that is on sale for 25% off the regular price of $399.99

Answers

Answer:

299.25

Step-by-step explanation:

Im pretty sure this is correct!!

Answer:

$100

Step-by-step explanation:

399.99 * 0.25 = 99.9975 (100)

399.99 - 100 = 299.99

$299.99 = Cost after discount

WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW
Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
a. Write an equation that represents the cost of Tom’s Taxis.
b. Write an equation that represents the cost of Carla’s cabs.

Answers

Answer:

a. y= 4 + 0.50x  b. y= 1.00x

Step-by-step explanation:

Answer:

a. y = 0.5x +4  b. y = x

Step-by-step explanation:

a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.

m  = $0.50 per mile

b = $4 per ride

y = 0.5x +4

b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.

m  = $1 per mile

b = $0 per ride

y = x

Which expression correctly represents 10 times the difference of a number and six

Answers

Answer:

10(6 - x) or 10(x - 6)

Step-by-step explanation:

Let the number be x.

Answer: 10(6 - x) or 10(x - 6)

No rush but what is the formula for finding the area of a polygon

Answers

Answer: To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.

Step-by-step explanation:

Hey guys I need help asap

A salesman earns 15% commission on each household appliance he sells. If he sells 6 toasters at $32 each, what is the commission that he earned?

Answers

Answer:

$28.8

Step-by-step explanation:

6x32=192

15% of 192 is 28.8

What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0

Answers

Answer:

Center is (7,-6)

Our radius is 4

Step-by-step explanation:

Subtract 69 to both sides

Complete the square of the x terms and y terms.

[tex] {x}^{2} + 14x[/tex]

[tex] {y}^{2} - 12y[/tex]

(To complete the square divide the coefficient by 2 and square it).

[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]

[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]

Add those terms to the full equation. Add 36 and 49 to the right side as well

[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]

Simplify the x and y terms into a binomial.

[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]

Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.

[tex]x + 7 = 0[/tex]

[tex]x = - 7[/tex]

[tex]y - 6 = 0[/tex]

[tex]y = 6[/tex]

[tex]16 = {x}^{2} [/tex]

[tex]4 = x[/tex]

So our center is (-7,6)

Our radius is 4.

I need help on this question someone please help. x/4=-12 (this says x divided by 2 equals -8). Explain how you would solve for x and what you would get. I’m in 7th grade so can someone make it easy to read like at the explaining part thanks.

Answers

So since our first example is X/4=-12 the first step would be to multiply 4 to both sides meaning you would multiply 4 by the division of 4 so it cancels out because they’re opposite operations do the same to the -12, so -12x4=-36 x=-36 the other example would be the same multiply 2 to both sides so on the left it would cancel out and on the right it would be -16 which is the answer to x
Hope this could help at least a little

Please help!! PLEASE!!!

Answers

Answer:

30%

Step-by-step explanation:

subtract the post-discount price from the pre-discount price

64.99 - 45.49 = 19.50

divide the answer by the original price

[tex]\frac{19.50}{64.99}[/tex] = 0.30

multiply the answer by 100

0.30 x 100 = 30%

to check:

take the original number and multiply it by the decimal form of the percentgae:

64.99 x 30% (0.30) = 19.50

take the answer and subtract it from the orginal answer

64.99 - 19.50 = 45.49

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