Please help I attached a picture

Mathematics

1 answer:

Alex787 [66]3 years ago

8 0

Answer:

option (3)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 12x + 7

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 12x

f(x) = x² + 2(- 6)x + 36 - 36 + 7

= (x - 6)² - 29

with vertex (h, k ) = (6, - 29 )

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PLEASE HELP!!!<br> EQUATIONS!!! ASAP :)

mel-nik [20]

1)solve for y.

4x+y=7

Add -4x to both sides.

4x+y+−4x=7+−4x

y=−4x+7

2) solve for y.

y−5x=9

Add 5x to both sides.

−5x+y+5x=9+5x

y=5x+9

3) solve for y.

3y−15x=12

Add 15x to both sides.

−15x+3y+15x=12+15x

3y=15x+12

Divide both sides by 3.

3y/3=15x+12/3

y=5x+4

4) solve for y.

8x+2y=18

Add -8x to both sides.

8x+2y+−8x=18+−8x

2y=−8x+18

Divide both sides by 2.

2y/2=−8x+18/2

y=−4x+9

5 ) solve for y.

7x−y=35

Add -7x to both sides.

7x−y+−7x=35+−7x

−y=−7x+35

Divide both sides by -1.

−y/−1=−7x+35/−1

y=7x−35

6) solve for y.

4x+1=9+4y

Flip the equation.

4y+9=4x+1

Add -9 to both sides.

4y+9+−9=4x+1+−9

4y=4x−8

Divide both sides by 4.

4y/4=4x−8/4

y=x−2

7) solve for x.

y=5x−2x

Flip the equation.

3x=y

Divide both sides by 3.

3x/3=y/3

x=1/3y

8) solve for x.

r=x+9x

Flip the equation.

10x=r

Divide both sides by 10.

10x/10=r/10

x=1/10r

9) solve for x.

b=3x+9xy

Flip the equation.

9xy+3x=b

Factor out variable x.

x(9y+3)=b

Divide both sides by 9y+3.

x(9y+3)/9y+3=b/9y+3

x=b/9y+3

10) solve for x.

w=2hx−11x

Flip the equation.

2hx−11x=w

Factor out variable x.

x(2h−11)=w

Divide both sides by 2h-11.

x(2h−11)/2h−11 = w/2h−11

x=w/2h−11

11) solve for x.

p=4x+qx−5

Flip the equation.

qx+4x−5=p

Add 5 to both sides.

qx+4x−5+5=p+5

qx+4x=p+5

Factor out variable x.

x(q+4)=p+5

Divide both sides by q+4.

x(q+4)/q+4=p+5/q+4

x=p+5 / q+4

12) solve for x.

m=9+3x−dx

Flip the equation.

−dx+3x+9=m

Add -9 to both sides.

−dx+3x+9+−9=m+−9

−dx+3x=m−9

Factor out variable x.

x(−d+3)=m−9

Divide both sides by -d+3.

x(−d+3)/−d+3=m−9/−d+3

x=m−9/−d+3

6 0

3 years ago

The perimeter of a semicircle is 20.56 yards. What is the semicircle's radius?

Scorpion4ik [409]

Answer:

Step-by-step explanation:

Perimeter = 20.56mm

Given the perimeter, find the diameter

= 20.56

D = 20.56 ÷

D = 6.54 mm

Perimeter of the Semicircle = half the circle arc + the straight line (Diameter)