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3 years ago

Solve the quadratic equation by completing the square. x2 + 6x + 7 = 0

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

Hello,

x²+2*3x+3²+7-9=0
==>(x+3)²-2=0
==>(x+3-√2)(x+3+√2)=0
==> x=-3+√2 or x=-3-√2

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Rewrite using a single positive exponent. 6^5 6

Fiesta28 [93]

Answer:

$6^{4}$

Step-by-step explanation:

using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$

note that 6 = $6^{1}$ , then

$\frac{6^{5} }{6}$ = $6^{(5-1)}$ = $6^{4}$

7 0

3 years ago

PLEASE HELP GEOMETRY QUESTION: abcd and efgh are squares. if jh = 4 cm and jc = 9 cm, then what is the area of the shaded region

Nata [24]

Hello!

First you have to find the area of the bigger square

When it goes from the center to a corner you multiply the value by 2 to find one side

9 * 2 =18

Now you find the area

18 * 18 = 324

Now we find the area of the smaller region

4 * 2 = 8

Find the area

8 * 8 = 64

Now we subtract these

324 - 64 = 260

The answer is 260

Hope this helps!

3 0

3 years ago

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My rug has a length that is two times its width. the area of the rug is 8 ft.². What is the length and width of my rug?

sdas [7]

2 feet by 4 feet. 4 feet is the length becuase it is double 2.

5 0

3 years ago

Which dimensions cannot create a triangle?

podryga [215]

Answer:

three angles measuring 109º, 25º, and 145º cannot create a triangle

three angles measuring 40º, 70º, and 65º cannot create a triangle

Step-by-step explanation:

Verify each dimensions

Part 1) three angles measuring 109º, 25º, and 145º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

$109^o+25^o+145^o=279^o$

$279^o> 180^o$

therefore

three angles measuring 109º, 25º, and 145º cannot create a triangle

Part 2) three sides measuring 9 m, 15 m, and 9 m

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 9+15 > 9 ---> is ok

2) 9+9 > 15 ---> is ok

therefore

three sides measuring 9 m, 15 m, and 9 m can create a triangle

Part 3) three angles measuring 40º, 70º, and 65º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

$40^o+70^o+65^o=175^o$

$175^o< 180^o$

therefore

three angles measuring 40º, 70º, and 65º cannot create a triangle

Part 4) three sides measuring 6 cm, 8 cm, and 10 cm

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is ok

2) 8+10 > 6 ---> is ok

3) 6+10 > 8 ---> is ok

therefore

three sides measuring 6 cm, 8 cm, and 10 cm can create a triangle

4 0

3 years ago

What is the circumstances if the diameter is 68ft

liraira [26]

C= 213.63
C=2• 3.14(pie)•r(radius)

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3 years ago

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