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NARA [144]
3 years ago
11

If a+5=b, then what is the value of (b−a)^4?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0
Because b=a+5, we can substitute “a+5” in for “b” in the equation.

(b-a)^4
((a+5)-a)^4

Simplification, as follows:

((a+5)-a)^4
(5)^4 the a’s cancel
625

The value of (b-a)^4 when a+5=b is 625.
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I will greatly appreciate if you can solve this question!
Rus_ich [418]

Answer: The answer would be B

<u>Write out the equation in slope-intercept form: </u>

y=-5/3x+6 (Once we know that, it'll be easier to convert it into standard form.)

<u>Subtract -5/3 from both sides of the equation:</u>

y+5/3x=6

<u>Subtract 6 from both sides:</u>

y+5/3x-6=0

<u>Multiply both sides by 3 to get rid of the fraction:</u>

3y+5x-18=0

<u>Then arrange the numbers to x and y are on one side by itself:</u>

3y+5x=18

<em>And that's your answer!</em>

<em />

Hope this helped you!

5 0
3 years ago
Can you exchange the coordinates of points ( x 1, y 1) and ( x 2, y 2) in the distance formula and still find the correct distan
notka56 [123]

Answer:

yes

Step-by-step explanation:

As an example

(x₁, y₁ ) = (1,2) and (x₂, y₂ ) = (5,3), then

d = \sqrt{(5-1)^2+(3-2)^2} = \sqrt{4^2+1^2} = \sqrt{16+1} = \sqrt{17}

Now let (x₁, y₁ ) = (5,3) and (x₂, y₂ ) = (1,2), then

d = \sqrt{(1-5)^2+(2-3)^2} = \sqrt{(-4)^2+(-1)^2} = \sqrt{16+1} = \sqrt{17}


3 0
4 years ago
X to the 2nd power minus 6 equals 1
alexandr402 [8]

Answer:

2.646

Step-by-step explanation:

You have to 6 to the 1 and then take the square root of the number which is seven leaving you with 2.646

3 0
3 years ago
Read 2 more answers
he Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is 22.9 degree
Andru [333]

Answer:

is at a distance of 722 feet

Step-by-step explanation:

we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue

we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg

we see that it has (angle, adjacent, opposite)

well to start we have to know the relationship between angles, legas and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

it's the tangent

tan α = o/a

we replace the values ​​and solve

tan α = o/a

tan 22.9 = 305/a

a = 305/tan22.9

a = 305/0.4224

a = 722

is at a distance of 722 feet

7 0
3 years ago
Read 2 more answers
What is 53.67 to one decimal place
MAXImum [283]
53.67 to one decimal place is 53.7 since you round the .6 to the .7
8 0
3 years ago
Read 2 more answers
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