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3 years ago

Solve 2x2 + 12x − 14 = 0 by completing the square.

Mathematics

1 answer:

Elenna [48]3 years ago

4 0

Answer:

the solutions are 1 and -7

Step-by-step explanation:

first add 14 to both sides

2x²+12x=14

2(x²+6x)=14 now find half of 6x and square it, then add it to both sides

2(x²+6x+9)=14+18(9 was multiplied by 2)

no factor

2(x+3)²=32 divide both sides by 2

(x+3)²=16 square root both sides

x+3=+/- 4 subtract 3

x= 4-3=1

x= -4-3=-7

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Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What

ivolga24 [154]

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

3 0

4 years ago

8 yd 15 yd 4 yd r ay Find the volume of the prism. Round your answer to the nearest tenth. 18.5 ft 8.6 ft h = 8.4 ft

seraphim [82]

L=8yd
B=15yd
H=4yd

Volume:-.

$\\ \tt\longmapsto V=LBH$

$\\ \tt\longmapsto V=8(15)(4)$

$\\ \tt\longmapsto V=480yd^3$

6 0

2 years ago

On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).

Darina [25.2K]

Answer:

Slope-Intercept form: y=x+3

Step-by-step explanation:

The Slope-Intercept form is y=mx+b

You first have to find the slope. You can use the graph and count or you can use the table and use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ . You then have to find (b) which is the y-intercept. You can find this easily using the graph or the table.