Y = (x + 3)^2 -4 and identify the axis of symmetry

Which statement is correct? 1. A horizontal line has no slope. 2. A vertical line has a slope of zero. 3. A line that rises from

arsen [322]

Answer:

A line that rises from left to right has a positive slope

Step-by-step explanation:

5 0

3 years ago

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Please answer! Thanks

GenaCL600 [577]

1) y = 1x + 95.50
x = number of bandanas

2) y = (1 • 50) + 95.50
$145.50 for 50 bandannas

3) 116.50 = 1x + 95.50
get x by itself

116.50 = 1x+ 95.50
-95.50 -95.50

21 = 1x
divide by 1
21 = x
you get 21 bandannas when you pay $116.50

7 0

3 years ago

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Can you help? photo is included

laiz [17]

Answer:

Step-by-step explanation:

f(x)=-4x+2

g(x)=x²+1

(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6

(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102

3 0

3 years ago

When a sum of rupees hundred is divided in the ratio of 2 is to 3 find the share of each part

yKpoI14uk [10]

2x + 3x = 100

5x=100

x=100/5

x= 20

Therefore, 2x=2×20=40

3x=3×20=60

Please mark me as brinliest.......

Glad to help you......

4 0

3 years ago

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The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

Rom4ik [11]

Answer:

The area of the figure will be 5π/2 in².
The perimeter will be 3π + 2 in

Step-by-step explanation:

This figure is a combination of two semi-circles.

One having diameter of 2 inches i.e. AD
Other having diameter of 4 inches i.e. AC

As

$\pi ={\frac {C}{d}}$

${{{C}}}=\displaystyle \pi.d$

Perimeter of the big figure could be computed by cutting the perimeters of each circle in half, and then combing them together.

Area could be computed using the same way.

Calculating the Perimeter:

As the circumference of the smaller circle is 2π in. Cutting it half would yield the circumference of the smaller semi-circle i.e. π.

As the circumference of the bigger circle is 4π in. Cutting it half would yield the circumference of the bigger semi-circle i.e. 2π.

As the length of the segment DC is 2 in.

So, the total perimeter would be: π + 2π + 2 = 3π + 2 in

Calculating the Area

Area could be computed using the same way as we did during measuring perimeter.

As the area of circle is

$A={\displaystyle \pi.r^{2}$

As we are dealing with semi-circles. So, cutting the diameters of two semi-circles in half can let us find the radii of them.

So,

Smaller semi-circle has 1 in radius
Larger semi-circle has 2 in radius

Areas would have to be cut in half as well, as we are dealing with semi-circles.

So,

For smaller:

$A_{small} =\frac{1}{2} {\displaystyle \pi.r^{2}$

$A_{small} =\frac{1}{2} {\displaystyle \pi.(1)^{2}$

$A_{small} =\frac{1}{2} {\displaystyle \pi$

Hence, the area of smaller will be: π/2 in²

For larger:

$A_{larger} =\frac{1}{2} {\displaystyle \pi.r^{2}$

$A_{larger} =\frac{1}{2} {\displaystyle \pi.(2)^{2}$

$A_{larger} =2 \pi^{}$

Hence, the area of larger will be: 2π in²

Combining them together:

$\frac{1}{2} {\displaystyle \pi^{} + 2 {\displaystyle \pi^{}=\frac{5}{2} {\displaystyle \pi^{}$

Therefore,

The area of the figure will be 5π/2 in².
The perimeter will be 3π + 2 in

Keywords: radius, area, perimeter, semi-circle, circle, diameter, circumference of circle

Learn more about circle measurements from brainly.com/question/3855576

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3 0

3 years ago

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