Multiply 2+√10 by its conjugate and simplify.

Answers

Answer 1

[tex]\left(2+\sqrt{10} \right)\left(2-\sqrt{10} \right)\\\\=2^2-\left(\sqrt{10} \right)^2\\\\=4-10\\\\=-6[/tex]


Related Questions

Give the numbers 12 and 4. Find out how much is the sum and difference of these numbers.

Answers

Answer:

The sum is 16 and the difference is 8 unless subtraction 12 from 4 and it would be -8.

Step-by-step explanation:

12 + 4 = 16

12- 4 = 8

4 - 12 = -8

simplificar la radicacion 18

Answers

Answer:

441

Step-by-step explanation:

PLSS PA ANSWER PO DONT DELETE PO​

Answers

Answer:

The answer of the first on is 15 b because to find the perimeter of 2d shapes we have to add all the sides given ex: 5+5+5=15 so the answer of first question if 15.

Step-by-step explanation:

1. B or 15cm

2. C or 24cm

3. C or 16cm

4. C or 56cm

5. A or 50cm


Just add the sides together for perimeter :)

please help will mark BRAINLIEST ​

Answers

Answer:

d = 3h - 6

Step-by-step explanation:

Given formula:

[tex]h=\dfrac{d}{3}+2[/tex]

Subtract 2 from both sides:

[tex]\implies h-2=\dfrac{d}{3}+2-2[/tex]

[tex]\implies h-2=\dfrac{d}{3}[/tex]

Multiply both sides by 3:

[tex]\implies (h-2) \times 3=\dfrac{d}{3} \times 3[/tex]

[tex]\implies 3(h-2)=d[/tex]

Apply the distributive law  [tex]a(b-c)=ab-ac[/tex]

[tex]\implies 3h-6=d[/tex]

[tex]\implies d=3h-6[/tex]

Answer:

[tex]d=3h-6[/tex]

Step-by-step explanation:

[tex]h=\frac{d}{3}+2[/tex]

[tex]h-2=\frac{d}{3}+2[/tex]

                 -[tex]2[/tex]

[tex]h-2=\frac{d}{3}[/tex]

[tex](h-2)*3=\frac{d}{3}*3[/tex]

[tex]3(h-2)=d[/tex]

[tex]3h-6=d[/tex]

[tex]d=3h-6[/tex]

-{ModPatrol}

PLS HELP FAST i have question in the picture if you just answer wrong for the points I will report you

Answers

Answer:

[tex]\sf x\ge \:4[/tex]

solving steps:

[tex]\sf 8\left(x-5\right)-3x\ge \:-20[/tex]

[tex]\sf \left(8x-40\right)-3x\ge \:-20[/tex]

[tex]\sf 5x-40\ge \:-20[/tex]

[tex]\sf 5x\ge \:-20+40[/tex]

[tex]\sf 5x\ge \:20\\[/tex]

[tex]\sf x\ge \:\dfrac{20}{5}[/tex]

[tex]\sf x\ge \:4[/tex]

answer is D x [tex]\geq[/tex]4

If radius =5 units and x = 12 units what is the volume of the cylinder

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

It's given that,

radius (r) = 5 units

height (x) = 12 units

Now, according to formula ~

[tex]\qquad \sf  \dashrightarrow \: v = \pi {r}^{2}x[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = \frac{22}{7} \times {5}^{2} \times 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = \frac{22}{7} \times 25 \times 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = \frac{6600}{7} [/tex]

[tex]\qquad \sf  \dashrightarrow \:v \approx 942.86 \: \: unit {}^{3} [/tex]

Find the values of x for which the denominator is equal to zero for 3x+5/x-6 .

x = 6

none

x = −5

x = −6

Answers

Answer:

x=6

Step-by-step explanation:

please mark me as brainlest

Which describes the combined variation in the formula h=v/ πr^2?

h varies directly with V and inversely with the square of r.

h varies directly with V and inversely with π and the square of r.

h varies jointly with V and π, and inversely with the square of r.

h varies jointly with V and r2.

Answers

Step-by-step explanation:

h varies directly with v and inversely with the square of r.

1/pi is the constant of variation.

xzavier makes a conjecture that the sun of two odd integers is always an even integer which choice is the best proof of his conjecture

PLEASE I NEED THIS NOWWWWWWW

Answers

Answer:

2n+1

Step-by-step explanation:

i dont know  but i tried to do it in paper and got this

15x + 2y /= 38
x >/= 0; y>/= 0

Answers

not so sure about the answer

I need help understanding number 11 and 12 please

Answers

Answer:

4

Step-by-step explanation:

Find the least common multiple of those two denominators, which would be 2 and 4.

Then do LCM of 2 and 4 and that should be 4.

The points plotted below are on the graph of a polynomial. In what range of x- a values must the polynomial have a root? Check all that apply. A. -2 to -1 B. -1 to 0 C. -3 to-2 D. 1 to 2 E. -4 to -3 F. O to 1​

Answers

a b f e are the answer because you multiply then divide

super easy algebra 4 x (15- ?) =48

Answers

first you would divide 48 by 4 which equals 12.
after this you are left with 15-?=12.
?=3
First 48/4=12. Then 12-15=-3. Then your left with -?=-3 Divid -3 by -1 which equals 3 so ?=3

The frequency table shows the number of students selecting each type of
food.
Nachos Popcorn Smoothies Total
Boys
5
6
4
15
Girls
6
8
4
18
Total
11
14
8
33
What proportion of students chose popcorn?

Answers

The proportion of students who chose popcorn will be 14/33.

How to calculate the proportion?

From the information, the frequency table shows the number of students selecting each type of

food.

The number of people who choose popcorn = 14

Total number of people = 33

Therefore, the proportion of students chose popcorn will be:

= 14/33

Learn more about proportion on:

brainly.com/question/19994681

#SPJ1

Answer:

0.42

Step-by-step explanation:

the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.

Answers

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

How to calculate the volume of a pyramid.

Mathematically, the volume of a pyramid is given by the formula:

[tex]Volume = \frac{1}{3} \times base\;area \times height[/tex]

For the base area:

The area of a right triangle is given by:

[tex]A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}[/tex]

A = 54 square units.

Given the following data:

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

[tex]234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}[/tex]

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790

Is it possible for someone to help me with this?

Answers

Answer:

Step-by-step explanation:

Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right angle. The length of A B is 17 and the length of A C is 8.
What is the length of Line segment B C?

9 units
11 units
15 units
16 units

Answers

Answer:

15 unit that is the answer

Step-by-step explanation:

hope it is help you

The length of the line segment BC is 15 units

Pythagoras theorem

In order to determine the length of BC, we will use the Pythagoras theorem as shown;

AB² = AC² + BC²

Substitute the given parameters

17² = 8² + BC²

BC² = 289 - 64

BC² = 225

BC=. 15 units

Hence the length of the line segment BC is 15 units

Learn more on pythagoras theorem here: https://brainly.com/question/654982

#SPJ9

The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?

Answers

Answer:

0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.

Answer:

2.5 mg

Step-by-step explanation:

.05 mg / kg    *   50 kg = 2.5 mg

Can someone please help me

Answers

Answer:

When it's negative when it goes to the other side it becomes a positive.....

Y=(x-4)(x-1)

Make y 0 when your calculating for x

Make x 0 when your calculating for y

0=(x-4)(x-1)

Therefore x=4 or x=1

Scott needs to replace a broken window at his house. The window is shaped like a triangle with dimensions shown below if glass costs $18.75 per square foot, how much with the replacement window cost?​

Answers

Given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.

What is a Triangle?

A triangle is simply a polygon with three vertices, three side and three sides.

An equilateral triangle is of triangle with all its three sides equal in length.

There area of an equilateral triangle is expressed as;

A = (√3/4) × a²

Where a is the length of the sides.

Given the data in the question;

Length of the side of the equilateral triangle a = 15ftCost of glass per square foot C = $18.75 per ft²Cost of window replacement CoW = ?

First we determine the area of the window which is in the shape of an equilateral triangle.

A = (√3/4) × a²

A = (√3/4) × (15ft)²

A = (√3/4) × 225ft²

A = 97.4279ft²

Now, cost of window replacement will be the area of the window multiplied by the cost of glass per square foot.

CoW = A × C

CoW = 97.4279ft² × $18.75 per ft²

CoW = 1826.77$

Therefore, given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.

Learn more about area of triangles here: https://brainly.com/question/19305981

Write the point-slope form of the equation of the line through the points (1,-1) and (5,-2)

Answers

Answer:

y + 1 = -1/4 (x - 1) Answer choice C is correct.

Step-by-step explanation:

Point Slope Formula: y - y1 = m (x-x1)

Your points:

(1,-1) and (5,-2)

You need to find the slope first:

Use the formula: y2 - y1 / x2 - x1

Your y2 is -2

y1 is -1

x2 is 5

x1 is 1

-2 - (-1)/5-1

-2 + 1 /4

-1/4 is your slope and the "m" in the formula.

Now we know our y1 is -1 and x1 is 1 you just need to plug them in

y + 1 = -1/4 (x - 1)

Notice that I didn't write y - (-1) this is because the negatives cancel into positives.

Answer choice C is correct.

Answer:

c. [tex]y+1=-\frac{1}{4} (x-1)[/tex]

Step-by-step explanation:

Hi there!

We are given the points (1, -1) and (5, -2)

We want to find the equation of that line using those points, in point-slope form

Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

First, let's find the slope of the line

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We already have everything we need to find the slope, but let's label the values of the points to avoid any confusion when calculating.

[tex]x_1=1\\y_1=-1\\x_2=5\\y_2=-2[/tex]

Now substitute:

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-2--1}{5-1}[/tex]

Subtract

m=[tex]\frac{-2+1}{5-1}[/tex]

m=[tex]\frac{-1}{4}[/tex]

The slope of the line is -1/4

Now substitute this into the formula to find point-slope form (remember that this is [tex]y-y_1=m(x-x_1)[/tex], and that m is the slope value)

Therefore:

[tex]y-y_1=-\frac{1}{4} (x-x_1)[/tex]

Now, let's substitute the values of [tex]x_1[/tex] and [tex]y_1[/tex], which we found earlier (which are 1 and -1 respectively) into the equation

[tex]y--1=-\frac{1}{4} (x-1)[/tex]

Simplify

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

This equation matches option c, which is the answer.
Hope this helps!

help me figure this out

Answers

Area of a circle
=pi Radius^2
= 3.14 x 16^2
= 3.14 x (16 x16 =256)
=3.14 x 256
=803.84

But if your aloud to use a calculator
Just type
3.14 x 16^2
=803.84



Note :
Sorry I don’t know how to edit since Brainly was updated
Hope this helps:)))

The graph of a linear function is shown.
Which word describes the slope of the line?
positive
negative
zero
undefined

Answers

Answer:

zero

Step-by-step explanation:

because it's horizontal line

pls do this thankuso much​

Answers

Ans: D

differentiate sinx=cosx and differentiate x=1

:)

The GCF of a pair of numbers is 4 and the LCM is 2240. If one the numbers is 64, then what is the other number?

Answers

Hope it helps…..best of luckkkkk

This figure represents a flower box.

How much soil will it take to fill the flower box?

Enter your answer in the box.

in³
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the longer part of the L is on the bottom and the shorter part of the L extends up from the left side. The longer part of the L has a length of 20 inches, a width of 9 inches, and a height of 9 inches. The shorter part of the L extends 10 inches above the longer part of the L and has a length of 5 inches.

Answers

Answer:

The Answer Is 2200in^3

Step-by-step explanation:

I Took The Test And Got It Right

100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?

Answers

Answer:

120 min

Step-by-step explanation:

step 1. divide 100% by 2.5 (=40)

step 2. 40 time 3 minutes = 120!

so by the time it gets to 120 minutes it 100% and guaranteed

Answer:

120 mn

Step-by-step explanation:

100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?

Which table models the graph shown below? HELP PLS

Answers

Answer:

A?

Step-by-step explanation:

I honestly am guessing here but i think its A take my answer with a grain of salt

Which of the following is a perfect square trinomial?

A. 4x^2 + 20xy - 25y^2

B. 4x^2 - 14xy + 25y^2

C. 4x^2 + 14xy - 25y^2

D. 4x^2 - 20xy + 25y^2

Answers

Answer:

[tex]D.~4x^2-20xy+25y^2[/tex]

Step-by-step explanation:

[tex]4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2[/tex]

Enter the distance, in units, between point A and point B

(Don’t sent me links pls

Answers

Answer:

1

Step-by-step explanation:

The distance between A to B is 1 unit

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