The equation of the like below is y=1/2x-2
Which is the equation of the line that is perpendicular to ab and passes through the point a?

Answer:

A

Step-by-step explanation:

Given expression:

[tex]\sqrt[4]{768x^8y^5}[/tex]

Using rule [tex]\sqrt{ab} =\sqrt{a} \cdot \sqrt{b}[/tex]

[tex]=\sqrt[4]{768}\cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

Prime factorization of 768:

[tex]=\sqrt[4]{2^8\cdot3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

Using rule [tex]a^{b+c}=a^ba^c[/tex] :

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^{4+1}}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4y^1}}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4} \cdot\sqrt[4]{y}[/tex]

Using rule [tex]\sqrt[a]{b^c} =b^{\frac{c}{a}}[/tex] :

[tex]=2^{\frac84}} \cdot \sqrt[4]{3} \cdot x^{\frac84}\cdot y^{\frac44} \cdot \sqrt[4]{y}[/tex]

[tex]=2^2 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]

[tex]=4 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]

Gather like terms:

[tex]=4 \cdot x^2\cdot y\cdot \sqrt[4]{3} \cdot \sqrt[4]{y}[/tex]

[tex]=4x^2y \sqrt[4]{3y}[/tex]

Opposite interior angles are equal, so

4x - 10 = 2x + 20

2x - 10 = 20

2x = 30

x = 15

Answer:

4x-10=2x+20(being alternate angle)

or,4x-2x=20+10

or,2x=30

or,x=30/2

or,x=15

again,

4x-10 (putting the value of x)

=4×15-10

=60+10

=70

2x+20 (putting the value of x)

=2×15+20

=30+20

=50

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solved !!!

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Answer:

Try a,d,b,a

Step-by-step explanation:

Answer:

first, you would divide because P.E.M.D.A.S. so 6/4=1.5 then you would add 12 making it 13.5 and -3 is 10.5

Step-by-step explanation:

mr clean

Answer:

10.5

Step-by-step explanation:

Using PEMDAS,

12 + 6 / 4 - 3

12 + 1.5 - 3

13.5 - 3

= 10.5

Answer:

I think that you are wrong with that question

Answer:

a = 50° , b = 60° , c = 70°

Step-by-step explanation:

a and 130° are adjacent angles on a straight line and sum to 180° , then

a = 180° - 130° = 50°

b and 60° are vertically opposite angles and are congruent , so

b = 60°

the sum of the 3 angles in a triangle = 180° , that is

a + b + c = 180°

50° + 60° + c = 180°

110° + c = 180° ( subtract 110° from both sides )

c = 70°

Answer:

7 - 4a = 11

Hope this helps!

Answer:

x = 16

Step-by-step explanation:

Add 4 to both sides, in order to isolate x:

x - 4 = 12

x = 16

So, x = 16

Answer:

A≈309.02

Step-by-step explanation:

A=2(1+square root of 2)a^2

Answer: A

Step-by-step explanation:

Real numbers include negative numbers, and |3x+2| is always nonnegative.

Answer:

y = 1/13 x + 84/13 or 13y = x + 84

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (7 - 6) / [(7 - (-6)]

= 1 / 13

Solve for b. Use (-6, 6)

y = mx + b

6 = 1/13 (-6) + b

6 = -6/13 + b

6 + 6/13 = b

84/13 = b

Substitute the m and b:

y = mx + b

y = 1/13 x + 84/13 or 13y = x + 84

Answer: 2x + 4

Step-by-step explanation:

Answer:

4 + 2x

Step-by-step explanation:

Let x be the number:

I hope this helps!

Answer: X=3

Step-by-step explanation:

and the answer to the problem is 4x+13

Answer: 4x+13

Solution Steps

2(5x+3×2−4)−(6x−9)

Multiply 3 and 2 to get 6.

2(5x+6−4)−(6x−9)

Subtract 4 from 6 to get 2.

2(5x+2)−(6x−9)

Use the distributive property to multiply 2 by 5x+2.

10x+4−(6x−9)

To find the opposite of 6x−9, find the opposite of each term.

10x+4−6x−(−9)

The opposite of −9 is 9.

10x+4−6x+9

Combine 10x and −6x to get 4x.

4x+4+9

Add 4 and 9 to get 13.

4x+13

Answer:

The length of the rope = 8.94 meters

Step-by-step explanation:

The flagpole is 8 meters high

The hook is 4 meters from its base and the hook is in the ground

The flagpole and the ground ⊥ to each other

By using Pythagoras theorem:

The length of the rope = √(8² + 4²) = 5√5 = 8.94 meters

Answer:

50 minutes left

Step-by-step explanation:

1 hour is 60 mins

60 mins+45mins=105 mins

105-55=50

50 mins left

Answer:

50 minutes remaining in the movie

Step-by-step explanation:
1 hour= 60 minutes 

+45 minutes 

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

105 minutes in movie total

- 55 minutes watched 

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

50 minutes remaining in the movie

Check the picture below.

the distances d1 and d2 are for this ellipse 7 and 3 respectively, keeping in mind that their sum is always the same, namely d1 + d2 is always the same 10 no matter where on the ellipse you move the point, notice in the picture, if we move d1 to the extent that lies flat right on top of d2, we have the length of d1 in purple, plus the length of d2, which we later colored in darkyellow, if we move d2 to the right-hand-side or the tail of d1, we'd end up with the ellipse's major axis, which is oddly enough, d1 + d2.

Answer:

C.

Step-by-step explanation:

A line segment has a bar above with no arrow heads.

Answer: C.

Answer: A Draw and label a net for the pyramid

Step-by-step explanation:

Because I know

how to do this stuff

#b

Area of triangle:-

Area of 4 triangles=40(4)=160mm²

Area of base:-

TSA:-

Answer:

7≥t

Step-by-step explanation:

The tank already has 13litres of water in it.

Keisha plans on increasing the quantity of the water to 41 litres. Hence,

41 litres - 13litres = 28litres

The above implies that she needed 28litres to be added to the fish tank.

She adds 4 litres per minute

Now, the question can now be reframed as how many minutes will be needed to add 28litre.

Considering to proportion method

4litres = 1 minute

28litres = t minutes

4litres × t minutes = 28litres

t = 28/4

t = 7 minutes

Hence, at least 7 minutes will be needed to increase the quantity of the tank water from 13litres to 41litres

But since we are to write the answer in an inequality form.

41≥ 13+4t

Solve for t

41≥13+4t

41-13≥4t

28≥4t

Divide both sides by 4

28/4≥4t/4

7≥t

The angles that are exterior angles in the given diagram are:

A. ∠5

B. ∠6

E. ∠2

F. ∠3

An exterior angle can be described as an angle that is formed between the side of a polygon and the adjacent side that extends out of the polygon.

From the image given, ∠2, ∠3, ∠5, and ∠6 are angles formed between a side of the triangle and an extended side.

Therefore, the exterior angles are:

A. ∠5

B. ∠6

E. ∠2

F. ∠3

Learn more about exterior angles on:

https://brainly.com/question/2546141

#SPJ1

Answer:

128 and 56

Step-by-step explanation:

to confirm this, you can add both numbers. 128+56 which equals to the answer, which is, 184!

Answer: 1.25

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

2+2=4, because 2 is made up of two ones and theres 2 2's which makes it 1+1+1+1=4

Step-by-step explanation:

Answer:

2 + 2 = 4.

Step-by-step explanation:

2 plus 2 is equal to 4.

You move 2 spaces to the right on a number line:

2 -> 3 -> 4

Therefore, 2 + 2 = 4.

I hope this helps!

[tex]Answer:[/tex]

The median is $[tex]40,000[/tex]

To find a median, find the averaging number, rather the middle number.

The middle number will always be your answer.

Answer:

1/100 times because for every time it spins, then it will land on 8 at least 1/100 times.

Answer:

Question 4: C

Question 5: 26

Question 3: 560

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

4x+2=4x+2

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

This is not a right triangle. Use the Pythagorean Theorem, [tex]a^{2} + b^{2}=c^{2} \\[/tex], but write it as [tex]c^{2}= a^{2}+b^{2}[/tex]. The hypotenuse would be 17 feet, so you can insert 17 as [tex]c^{2}[/tex]. [tex]a[/tex] and [tex]b[/tex] could be 6 or 16. It can be written either way. The simplified equation would be:

[tex]c^{2}=a^{2} +b^{2} \\17^{2} = 6^{2} + 16^{2} \\17^{2} = 36+ 256\\17^{2}= 292\\289\neq 292[/tex]

This isn't a right triangle.

I hope this helped :)