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yulyashka [42]
3 years ago
9

Rewrite the equation by completing the square. x^2+10x+24 = 0

Mathematics
1 answer:
ser-zykov [4K]3 years ago
3 0

Answer:

(x+5)^2 = 1

Step-by-step explanation:

x^2+10x+24 = 0

Subtract 24 from each side

x^2+10x+24 -24 = 0-24

x^2+10x = -24

Take the coefficient of x

10

Divide by 2

10/2 =5

Square it

5^2 = 25

Add it to each side

x^2+10x+25 = -24+25

Take the coefficient divided by 2 inside the factor

(x+10/2) ^2 = -24+25

(x+5)^2 = 1

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Given that parabola has a focus of (-1,2) and directrix of x=5, Matching the steps with the equations we shall have:
1. Use (x,y)⇒choose a point from the parabola.

2. √[(x+1)²+(y-2)²]⇒Find the distance from the focus to the point on the parabola

3. √(x-5)²⇒Find the distance from the point on the parabola to the directrix

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5. (x+2)²+(y-2)²=(x-5)² ⇒Square both sides and simplify
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3 years ago
Did I do this right? Pls help thx
OlgaM077 [116]
I am sure your right!!!
4 0
3 years ago
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Solve for x and verify:3(x+3)-2(x-1)=5(x-5)
Gekata [30.6K]

Answer:

x=9

Step-by-step explanation:

Distribute:

3x+9-2x+2=5x-25

Combine like terms:

x+11=5x-25

Solve:

x-x+11=5x-x-25

11=4x-25

11+25=4x-25+25

36=4x

Divide by 9:

x=9.

Hope this helps :D

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3 years ago
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3 years ago
A circus tent is supported by a rope that is staked to the ground. The tent makes a 90 angle with the ground. The following visu
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The value of x is 34.64 feet

<h3>Right-angled triangle</h3>

Find the diagram attached

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Get the value of x using the SOH CAH TOA identity

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Hence the value of x is 34.64 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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