Find the value of n that makes DEF-XYZ when
DE = 4, EF = 5, XY = 4(n + 1). YZ = 7n - 1, and

Answer:

The equivalent will be:

[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]

Therefore, option 'a' is true.

Step-by-step explanation:

Given the expression

[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]

Let us solve the expression step by step to get the equivalent

[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]

as

[tex]\sqrt[7]{x^2}=\left(x^2\right)^{\frac{1}{7}}[/tex]      ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]=x^{2\cdot \frac{1}{7}}[/tex]

[tex]=x^{\frac{2}{7}}[/tex]

also

[tex]\sqrt[5]{y^3}=\left(y^3\right)^{\frac{1}{5}}[/tex]         ∵  [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]=y^{3\cdot \frac{1}{5}}[/tex]

[tex]=y^{\frac{3}{5}}[/tex]

so the expression becomes

[tex]\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]            ∵ [tex]\:\frac{1}{y^{\frac{3}{5}}}=y^{-\frac{3}{5}}[/tex]

Thus, the equivalent will be:

[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]

Therefore, option 'a' is true.

Answer:

x = 2

Step-by-step explanation:

Hope this helps, have a good day

Answer:

72 degrees

Step-by-step explanation:

Calculate the number of sides in the regular polygon. We do this by dividing 360° by the size of one exterior angle, which is 72°

Answer:

? what are the answers from 1 and 2?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answers were 6 and 210

Answer:

The first answer

Step-by-step explanation:

When you dilate something by a fraction the quadrilateral is going to get smaller. So, we can eliminate 2 and 4. Next I took point A and dilated it by 1/2 and then applied the translation to it. Once I figured out where each one landed, the first one was correct because it was on point E of EFGH and the other translation was not.

Answer:

42c

Step-by-step explanation:

The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)

We are given the vertices of Triangle CDE as;

C(-2,-2), D(1,-4), and E(-3,-4).

Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.

However, we are told that it is centered about the point (-1.-3).

Thus;

Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.

Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)

Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)

Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)

B) Reflection in the line y = -x gives;

C'(2, -2), D(-1, 4), and E(3, 4)

Read more about Objects Transformation at; https://brainly.com/question/3457976

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Answer:

44-11=33

Step-by-step explanation:

Answer:

-3/4, -1, -1 1/4, -1 1/2

Step-by-step explanation:

Answer:

-3/4 then -1 then -1 1/4 and finally -1 1/2

Step-by-step explanation:

Answer:

The solution is !.25x+450P=956X

Step-by-step explanation:

Answer:

2.27 students

Step-by-step explanation:

Answer:2.27 students

Step-by-step explanation:

Answer:0.75 = 75%

Step-by-step explanation:

51 divided by 68 is 0.75

Answer:

75%

Step-by-step explanation:

When you divide 51 by 68 you get .75 which is equal to 75%.

Answer:

a i think it might be right

Answer: 4(N+S)=$  or   4N+4S=$

Answer:

I think its eight but I could be wrong

Answer:

27

Step-by-step explanation:

i dont know how to describe what i did but it is correct

Answer:

Let x be the number,

7-10x>37

The required inequality is 10x - 7 > 37

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Thirty-seven is less than the difference of seven and ten times a number.

Let x be the number, we get,

10x - 7 > 37

Hence, The required inequality is 10x - 7 > 37

For more references on inequality, click;

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Answer:

The four consecutive odd numbers are [tex]7,9,11,13[/tex]

Step-by-step explanation:

Let the four consecutive odd integers be [tex]x,x+2,x+4,x+6[/tex]

The sum of the first two and the greatest of 4 consecutive odd integers is 29.

[tex]x+x+2+x+6=29\\3x+8=29\\3x=29-8\\3x=21\\x=7[/tex]

Therefore,

[tex]x=7\\x+2=7+2=9\\x+4=7+4=11\\x+6=7+6=13[/tex]

The four consecutive odd numbers are [tex]7,9,11,13[/tex]

Answer:

Step-by-step explanation:

3x + 2y = 12

      2y = -3x + 12

        y = [tex]\frac{-3}{2}x + \frac{12}{2}[/tex]

        y = [tex]\frac{-3}{2}x + 4[/tex]

2) x + y = 8

          y = -x + 8

Answer:

27

Step-by-step explanation:

Answer:

victor solved the equation correctly because you have to isolate the x and in order to do that you have to divide both sides by 5

Answer:

H + 20.9

Step-by-step explanation:

add 7.9 and 13 = 20.9

Answer:

5.1

Step-by-step explanation:

You subtract 7.9 from both sides of the equation in order to find the answer. 13 minus 7.9 is 5.1, so h is equal to 5.1

Answer:

$98

Step-by-step explanation:

Got it right on Edge2020

Answer:

yeah first dude is right its 98

Step-by-step explanation:

:)

Answer:

The number of quarts of carrot juice used is approximately 0.3333.

Step-by-step explanation:

The proportional relationship between the quarts of prune juice (p) and carrot juice (c) in the recipe is given as;

     4p = 12c

Thus for 1 quart of prune juice, the quarts of carrot juice required can be determined by;

i.e p = 1

So that,

4 x 1 = 12c

4 = 12c

c = [tex]\frac{4}{12}[/tex]

  = [tex]\frac{1}{3}[/tex]

  = 0.3333

The number of quarts of carrot juice used is approximately 0.3333.

Answer:

7

Step-by-step explanation:

I am 100% sure

[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]

⠀⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]

⠀⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]

⠀⠀⠀⠀

Using Pythagoras theorem ;

⠀⠀⠀⠀

[tex]\sf{\red{\boxed{\bold{( hypotenuse )^2 = ( base )^2 + ( height )^2 }}}}[/tex]

⠀⠀

First , lets understand the concept ;

⠀⠀

What is Pythagoras theorem ??

⠀⠀⠀⠀

⠀⠀⠀⠀

What is hypotenuse ?

⠀⠀⠀⠀

⠀⠀⠀⠀

In the given Δ ;

⠀⠀⠀⠀

Hypotenuse = DB = 25 cm

⠀⠀

Acc. to the formulae ;

⠀⠀⠀⠀

➠ 25² = 24² + d²

⠀⠀⠀⠀

➠ d² = 25 ² - 24 ²

⠀

➠ d² = 625 - 576

⠀⠀⠀⠀

➠ d² = 49

⠀

➠ d = √49

⠀⠀⠀⠀

➠d = 7cm

⠀⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]

⠀⠀⠀⠀

Answer:

-1/3

Step-by-step explanation:

The slope an equation is the number that is being multiplied by x. This is known as the coefficient. A coefficient is a number that’s being multiplied by a variable. In this equation, -1/3 is the slope because that’s the coefficient, it’s being multiplied by the variable x.

Hope this helps! :)

Answer: 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The answer is B because it has the slope and its on the rise and run.

Hope this help:)

PLss maark brainlist

Answer:

the answer is b

Step-by-step explanation:

the answer is b

Answer:

24

Step-by-step explanation: