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musickatia [10]

3 years ago

10

A number is increased by 54. The sumos then divided by 9. The result is 21. Write an equation to represent the discription, use

n for the number

1 answer:

hram777 [196]3 years ago

6 0

Answer:

(n+54)/9 = 21

Step-by-step explanation:

A number: n

Is increased by 54: n+54

The sum is divided by 9: (n +54)/9

and the result is 21:

(n +54)/9 = 21

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1. If x=3-√3,<br> prove that x²<br> +36<br> x²<br> = x²

valentina_108 [34]

Answer:

we get $x^2=12-6\sqrt{3}$

Step-by-step explanation:

We are given: $x=3-\sqrt{3}$

We need to find $x^2$

Note: Since question is not clear, I am assuming that we need to find $x^2$

Solving:

$x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\$

We know that $(a-b)^2= a^2-2ab+b^2$

Using formula and simplifying

$x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\$

So, we get $x^2=12-6\sqrt{3}$

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3 years ago

4. When finding the intersection of two lines from both Algebra I and Geometry, you first "set the linear

Masteriza [31]

<u><em>Answer:</em></u>

The intersection point is (-4,-19)

<u><em>Explanation:</em></u>

<u>The two given equations are:</u>

y = 5x + 1

y = 2x - 11

<u>To find the intersection point, we will start by equating the two given equations and solving for x</u>

<u>This is done as follows:</u>

5x + 1 = 2x - 11

5x - 2x = -11 - 1

3x = - 12

x = -4

<u>Then, we will use the x and substitute in any of the equations to get the value of y</u>

<u>Using the first equation:</u>

y = 5x + 1 = 5(-4) + 1 = -19

<u>Check using the second equation:</u>

y = 2x - 11 = 2(-4) - 11 = -19 ................? checked

<u>Therefore:</u>

The intersection point between the two given equations is (-4,-19)

Hope this helps :)

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Elina [12.6K]

Step-by-step explanation:

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3 years ago

PLZ HELP! Solve the system of equations using the substitution method

vladimir2022 [97]

Answer:

x=6,y=-11

Step-by-step explanation:

y=-3x+7

x=-2y-16

Substitute the second equation into the first every place you see an x

y=-3(-2y-16)+7

Distribute

y = 6y+48 +7

Combine like terms

y = 6y +55

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y-6y = 6y-6y+55

-5y = 55

Divide by -5

-5y/-5 = 55/-5

y = -11

Now we need to find x

x=-2y-16

x = -2(-11) -16

x =22-16

x = 6

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3 years ago