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valentina_108 [34]
3 years ago
12

Please Help! ASAP! f(x)=x^2. What is g(x)??????

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0

Answer:

The first one

Step-by-step explanation:

g(x) = ax² + bx + c

Point (0,0):

0 = a.0² + b.0 + c

c = 0

Point (2,1):

1 = a.2² + b.2 + c

4a + 2b + c = 1

But c = 0. Then:

4a + 2b = 1

Another point: (- 2, 1):

1 = a.(- 2)² + b.(- 2) + c

4a - 2b = 1

{4a + 2b = 1

{4a - 2b = 1

4a + 2b = 4a - 2b

4a - 4a = - 2b - 2b

- 4b = 0

b = 0

4a + 2b = 1

4a + 2.0 = 1

4a = 1

a = 1/4

The formula is:

g(x) = (1/4)x²

I hope I've helped you.

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Answer:

\frac{-13}{15} x-52

Step-by-step explanation:

\frac{-5}{6}x-\frac{7}{30}x+\frac{1}{5}x-52

=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52

Combine Like Terms:

=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52

=(\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x)+(-52)

=\frac{-13}{15}x+-52

Therefore, \frac{-13}{15}x+-52 will be your final answer.

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Which measurement is closest to the measure of segment W Z?
noname [10]
Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.

We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm

This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm

tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm

WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm

Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
6 0
3 years ago
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