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Morgarella [4.7K]
4 years ago
15

Solve the equation by completing the square. x^2 -2x = 15

Mathematics
1 answer:
dlinn [17]4 years ago
5 0

Answer:

x = -3  or  x = 5

Step-by-step explanation:

Solve:   x^2 -2x = 15

x^2  - 2x  - 15 = 0

Use the Diamond method of factoring

-15 = 3* -5  and  3 - 5 = -2  so...

x^2  - 2x  - 15 = x^2 -  5x  + 3x  -  15

x^2  - 2x  - 15 = x *(x - 5)  + 3*(x - 5)

x^2  - 2x  - 15 = (x  + 3)*(x - 5)

x^2  - 2x  - 15 = (x  + 3)*(x - 5)  = 0

solve  (x + 3 ) = 0  and  (x - 5) = 0

x = -3  or  x = 5

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The parking space shown at the right has an area of 209 ft2. A custom
jeyben [28]

Given:

The parking space shown at the right has an area of 209 ft².

A custom truck has rectangular dimensions of 13.5 ft by 8.5 ft.

To find:

Whether the truck fit in the parking space or not?

Solution:

If the area of the truck is more than the area of the parking space, then the truck cannot fit in the parking space otherwise it will fit in the parking space.

The area of a rectangle is:

Area=length\times width

Area of the rectangular truck is:

Area=13.5\times 8.5

Area=114.75

The area of the truck is 114.75  ft² which is less than the area of the parking space, 209 ft².

Therefore, the truck can fit in the parking space because the area of the truck is less than the area of the parking space.

3 0
3 years ago
*BEST ANSWER WILL BE MARKED BRAINLIEST*
Gwar [14]
Alright

for a 45-45-90 triangle, if the legs are x then the hytponuse is x√2


so LM=x√2 is right
NM=x

also, tan=oposite side/adjacent side
so that would be LN/MN or MN/LN=x/x=1

so that would be tan(45)=1

so you want to check the 1st one, 3rd one and 5th one

NM=x
LM=x√2
tan(45°)=1 are the answers
4 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Help plzzz real quick
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That would be the point (3, -1)
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