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3 years ago

Rewrite the equation by completing the square. f(x) = x^2 - 2x + 17 f(x) = (x + |?|)^2 + |?|

Mathematics

1 answer:

Komok [63]3 years ago

8 0

Answer:

f(X)= (x-1)²+16

Hope this helps

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Solve the system of equations 2x+4y+3z=6 5x+8y+6z=4

MaRussiya [10]

Answer:Solution :

{x,y,z} = {-8,52/7,-18/7}

System of Linear Equations entered :

[1] 2x + 4y + 3z = 6

[2] 5x + 8y + 6z = 4

[3] 4x + 5y + 2z = 0

Solve by Substitution :

// Solve equation [3] for the variable z

[3] 2z = -4x - 5y

[3] z = -2x - 5y/2

// Plug this in for variable z in equation [1]

[1] 2x + 4y + 3•(-2x-5y/2) = 6

[1] -4x - 7y/2 = 6

[1] -8x - 7y = 12

// Plug this in for variable z in equation [2]

[2] 5x + 8y + 6•(-2x-5y/2) = 4

[2] -7x - 7y = 4

// Solve equation [2] for the variable y

[2] 7y = -7x - 4

[2] y = -x - 4/7

// Plug this in for variable y in equation [1]

[1] -8x - 7•(-x -4/7) = 12

[1] -x = 8

// Solve equation [1] for the variable x

[1] x = - 8

// By now we know this much :

x = -8

y = -x-4/7

z = -2x-5y/2

// Use the x value to solve for y

y = -(-8)-4/7 = 52/7

// Use the x and y values to solve for z

z = -2(-8)-(5/2)(52/7) = -18/7

Solution :

{x,y,z} = {-8,52/7,-18/7}

Step-by-step explanation:

4 0

3 years ago

Can someone step by step explain the answer to me please and thank u

True [87]

First

angle in front of c is 30°, so hypotenuse is equal to 2c

it's right triangle, so let's use Pythagorean theorem\

$(2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=\dfrac{16}{3} \\\\c=\dfrac{4}{\sqrt{3} } =\dfrac{4\sqrt{3} }{3 }$

Second

b - the base of the triangle, angles at the base are equal ⇒ cathets are equal

it's right triangle, so let's use Pythagorean theorem

$b^2=7^2+7^2\\b^2=49+49\\b=\sqrt{2\times49} =7\sqrt{2}$

3 0

2 years ago

How much is 608 divided 19 in area model

AVprozaik [17]

Answer:

608 ÷ 19 = 32

Step-by-step explanation:

608 ÷ 19 = 32

Hope this helps! :)

5 0

3 years ago

Please help with this math problem!! IT'S DUE TONIGHT AT 11:59PM!! NO LINKS PLEASE!! :)

Anika [276]

Answer:

$c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7$

Step-by-step explanation:

check this pls

but im not sure;-)

pa heart and 5 star

if check po

7 0

2 years ago

Read 2 more answers

Y- X=4<br> Does Y and X show direct variation? If so find k

lesantik [10]

X-y=-4 is the equation for question listed above, no direct variation.

3 0

3 years ago