show that
[tex] \frac{2}{3 + \sqrt{7} } = 3 - \sqrt{7} [/tex]
I don't know what to do
please help with the steps.
for brainliest ​

Answer:

21

Step-by-step explanation:

when p is 4

p² + 5 = 4² + 5

16 + 5 = 21

Answer:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Step-by-step explanation:

You cannot leave a radical in the denominator, so the first step is to get rid of it. The way you do that is by multiplying the radical in the denominator by itself over itself because anything over itself is equal to 1. So, for example in this problem:

[tex]\frac{\sqrt{15}}{\sqrt{16} } *\frac{\sqrt{16}}{\sqrt{16} }[/tex]

From here you multiply straight across. The numerator will be equal to [tex]\sqrt{240}[/tex] and the denominator will be 16 because any radical multiplied by itself cancels the radical out and just equals the number inside of the radical. The last step is to simplify the numerator. You do this by finding factors of 240 which are:

You want to use the greatest factor you have so you can break it down easier which in your case is (15 * 16). From here you simplify each of those numbers until you have a duplicate of something. The greatest factor of 15 is 3 * 5, so that won't simplify because there are no duplicate numbers. The greatest factor of 16 is 4 * 4 which means that it will simplify. When you are simplifying the duplicate (4) always goes outside of the radical and the non-duplicate (15) always goes on the inside of the radical. Your answer should look like this:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Answer:

1/4

Step-by-step explanation:

Divide both the numerator and denominator by the GCD 9 ÷ 9

36 ÷ 9

Reduced fraction: 1/4 Therefore, 9/36 simplified to lowest terms is 1/4.

Answer:

The corresponding height of the triangle is [tex]1.2[/tex]

Step-by-step explanation:

We have[tex]\Delta ABC[/tex]

Here [tex]AD[/tex] is the height

We need to draw perpendicular from [tex]A[/tex] to [tex]BC[/tex]

The distance from the point [tex](m, n)[/tex] to the line [tex]A x+B y+C=0[/tex] is given by:

[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}[/tex]

First let us calculate equation of [tex]BC[/tex]

[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{2--1}{3--1} (x-3)\\\\y-2=\frac{3}{4} (x-3)\\\\4y-8=3x-9\\\\3x-4y=1[/tex]

Now distance from [tex](-1,1)[/tex] to [tex]3x-4y-1=0[/tex] is

[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\\\\=\frac{|3 \times1+-4\times-1-1|}{\sqrt{3^{2}+(-4)^{2}}}\\\\=\frac{6}{5}\\\\=1.2[/tex]

The only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

This question bothers on place values.

Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).

We need to check which of the statement is correct.

For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;

Since 0.01≠0.3, hence the first option is wrong

For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;

0.01≠0.1, hence the second option is wrong.

The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place

The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;

Hence the only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

Learn more on place values here: https://brainly.com/question/627658

Answer:

It would be Number of Hours

Step-by-step explanation:

The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"

Hope this Helps :)

Answer:

15

Step-by-step explanation:

let y = f(x)

substitute x = 0

y = 4(0)^3-12(0)^2-(0)+15 = 15

Answer:

1

3  maybe

Step-by-step explanation:

Answer:

58.14 inches

Step-by-step explanation:

Pitagoras:

Diagonal² = length² + width²

Diagonal² = 44² + 38²

Diagonal² = 1936 + 1444

Diagonal² = 3380

√Diagonal² = √3380

Diagonal = 58.137 = 58.14inches

Answer:

21.8

Step-by-step explanation:

Answer:

3.6? I don't really know

Answer:

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .

Answer:

Angels D and G

Step-by-step explanation:

Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Although in this case angels D and G dont have opposite angels so in this cade their is only 2 alternate exterior angels.

I hope this helps have a great day and happy holidays  (｢•-•)｢

Answer:

∠D and ∠G

Step-by-step explanation:

Think about what alternate exterior angles are:

Putting these two elements together, we can clearly see the alternate exterior angles are ∠D and ∠G.

The length of the living room in the blue print is 3.96 inch

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question

We have,

1foot = 0.33 inch

The actual length of the living room =12feet.

Therefore,

The length of the living room in the blue print = 12 × 0.33 = 3.96inch

Hence, the length of the living room in the blue print is 3.96 inch.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

Answer: Using Probability to Increase the Odds of success

Answer:

[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]

The reason that a heavy body doesn't fall faster than a light body is because the greater gravitational force on the heavier body (its weight), acts on a correspondingly greater mass (inertia). The ratio of gravitational force to mass is the same for every body—hence all bodies in free fall accelerate equally.

hope helpful~

‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎

Answer:

a) Draw a line horizontally on 4 on the y axis

b)x=2,y=3

Answer:

Number of chairs = 24

Number of stools = 12

As about the question number 2, I think you should check whether the question you copied is correct are not.

Step-by-step explanation:

1. One person,

Three hours for a chair and two hours for a stool

Therefore, 12 people working for 8 hours;

Per person produced two chairs and one stool as 3+3+2=8 hours

12×2= 24 chairs and 12×1=12 stools.

Answer:

y + 1 = 3(x - 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b ) = (8, - 1 ) , then

y - (- 1) = 3(x - 8) , that is

y + 1 = 3(x - 8)

Answer:

$47.85

Step-by-step explanation:

4 2/5 in decimal form is 4.4

Using the equation hrs/money=x, 36.30/4.4=8.25

So, she gets $8.25 per hour

Then, 5 4/5 in decimal form is 5.8

So, 5.8*8.25=47.85

She gets $47.85 for working 5 4/5 hours

Answer:$47.85

Step-by-step explanation:

Answer:

2:1 RATIO

Step-by-step explanation:

If you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

To determine the ratio of feet to minutes, we can use the steps to minutes ratio from Task 1. Let's find the steps-to-feet ratio first:

Steps:Feet

4:10

6:15

12:30

30:40

Now, let's calculate the steps-to-feet ratio by finding the average of the steps-to-feet ratio from all the given data points:

Average Steps-to-Feet Ratio = [(10/4) + (15/6) + (30/12) + (40/30)] / 4

Average Steps-to-Feet Ratio = (2.5 + 2.5 + 2.5 + 1.333) / 4

Average Steps-to-Feet Ratio = 2.1665

Now, for the question at hand, if you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

learn more about ratio: https://brainly.com/question/12024093

#SPJ3

Answer:

it only changes the magnitude.

for any general a let f(x) be =a|x| , a>0

so for any x say ±3 your function will throw out a×3.

Answer: m=5/3-2y  or if your solving for y  y=-m/2+5/6

Step-by-step explanation:

Answer:

y = 5/6 - m/2

Step-by-step explanation:

4(3m + 6y) = 20

3m + 6y = 5

6y = 5 - 3m

y = 5/6 - 3m/6

y = 5/6 - m/2

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

Answer:

It’s C :)

Step-by-step explanation:

The solution is Option C.

The value of the equation is simplified as A = 6y³ + 11x² - 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 14x² + 4y³ - 3x² - 5 + 2y³   be equation (1)

On simplifying the equation , we get

Adding the similar terms in the equation , we get

A = ( 4y³ + 2y³ ) + ( 14x² - 3x² ) - 5

Now , the value of A is

A = 6y³ + 11x² - 5

Therefore , the value of A is 6y³ + 11x² - 5

Hence , the equation is 6y³ + 11x² - 5

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

(0,5)x3=(15,5)

Step-by-step explanation:

Format of my answer:

[Problem letter] Parallel Lines

- Converse / Reason

!! I am not sure which / what converses you are using, but I gave the reasoning for it. If you see something similar, use the converses you know !!

[a] j & k

- If two lines intersected by a  transversal form congruent alternate interior angles, then the lines are parallel

[b] m & n

- If angles are supplementary in this placement, the lines are parallel

[c] l & n

- If angles are equal when they are corresponding, the lines are parallel

[d] l & m

- If two angles that are congruent are vertical, the lines are parallel

[e] j & k

- If two lines intersected by a  transversal form congruent corresponding angles, then the lines are parallel

[f] l & n

- If angles are supplementary in this placement, the lines are parallel

[g] l & n

- If two angles that are congruent are vertical, the lines are parallel

[h] -------

[i] l & n

- If two angles that are congruent are vertical, the lines are parallel

[j] -------

[k] -------

[l] j & k

- If two lines intersected by a  transversal form congruent corresponding angles, then the lines are parallel

[m] -------

[n] j & k

- If angles are supplementary in this placement, the lines are parallel

[o] -------

-> See attached for more information

Have a nice day! - hopefully these are mostly correct, been awhile since I've done this

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

30 31 33 are the three integer consective