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Alchen [17]
3 years ago
10

Solve each equation by completing the square 6) m² + 16m – 8 = 0

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

Answer:

m = - 8 ± 6\sqrt{2}

Step-by-step explanation:

Given

m² + 16m - 8 = 0 ( add 8 to both sides )

m² + 16m = 8

To complete the square

add ( half the coefficient of the m- term )² to both sides

m² + 2(8)m + 64 = 8 + 64

(m + 8)² = 72 ( take the square root of both sides )

m + 8 = ± \sqrt{72} = ± \sqrt{36(2)} = ± 6\sqrt{2}

Subtract 8 from both sides

m = - 8 ± 6\sqrt{2}

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EFGH is an isosceles trapezoid. If EH=4x-27 and FG=x+9, find the value of x.<br> PLEASE HELP ASAP!
djyliett [7]

Answer:

If EFGH is an isosceles trapezoid,

if

EH=4x-27+

FG=x%2B9+

EG=3y%2B19

FH=11y-21

then EH=FG and EG=FH

set up equations:

4x-27=x%2B9 .......solve for x

4x-x=27%2B9

3x=36

x=36%2F3

3y%2B19=11y-21.......solve for y

11%2B19=11y-3y

30=8y

y=30%2F8

y=15%2F4

y=3.75

so,x=12    and y=3.75

you can also check the length of equal sides and equal diagonals:

EH=4%2A12-27+=21

FG=12%2B9+=21

EG=3%283.75%29%2B19=30.25

FH=11%283.75%29-21=30.25x=12

Step-by-step explanation:

5 0
3 years ago
An isosceles triangle with congruent sides of 16.2 cm and a third side half that length
Zielflug [23.3K]

Answer: option iii

The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm

Explanation:

The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm

First side is = 16.2 cm

Second side is = 16.2 cm

Third side = half of 16.2 = 8.1 cm


The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm

7 0
3 years ago
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nataly862011 [7]
Ok lol I was going to put 180 but if you got it than that’s fine.
3 0
2 years ago
Jose sells beaded necklaces. Each large necklace sells for $5.60 and each small necklace sells for $4.70 How much will he earn f
leva [86]

Answer:

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Step-by-step explanation: $5. 60 times 5 equals to $28.00 and $4.70 times 3 equals $14.10

7 0
3 years ago
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