A weight is attached to a spring which moves up and down as a function of time
plt) uves the position of the weight at time (t). Position is in centimeters and time is in seconds
Complete the following sentences based on the graph of the function,
• The graph is a nonlinear function
• The initial position of the weight is centimeters
• The weight first reaches equilibrium Whent = seconds)
Note: We say that the weight is at equilibrium whenever plt) = 0 cm, and we say that the initial position of the block
is its position when t = 0

Answer:

C is (-18, 24)

Scale factor --> 1 1/3

A is (9, - 4 1/2)  *4 1/2 is also 4.5

Brainliest please, I need a few more :D

The true statement are; The coordinates of C prime are (–18, 24). The scale factor is 1 1/3 . The coordinates of A are (9, –4.5).

Dilation of a figure will leave its sides get scaled (multiplied) by same number.

Thus, suppose if a rectangle is dilated, and its sides were of length = L and width = W, then its dilated version would be having length = Ln, and width = Wn where n is the factor of scaling.

At image B (-24, -12) and pre image B (-18, -9),

we can work out the scale factor by (-24/-18) and (-12/-9) both equal 4/3

Using the scale factor to go from the pre image to the image,

We can find C coordinate by pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

So, The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A;

A is (12/(4/3)) and (-6/(4/3))

A is (9, - 4 1/2)

Hence, the true statement are;

The coordinates of C prime are (–18, 24).

The scale factor is 1 1/3 .

The coordinates of A are (9, –4.5).

Learn more about dilation here:

https://brainly.com/question/27212783

#SPJ5

Answer:

43.01m^2

Step-by-step explanation:

[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]

This is the formula for a pentagon

Answer:52.2in

Step-by-step explanation:

Did it on a test and got it correct

Answer:

Area = 28.27 cm^2 when the radius is 3cm

Answer: Option C.

Step-by-step explanation:

A function goes trough the x-axis when f(x) = 0 for some value of x.

For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:

a*x^2 + b*x + c = 0

are complex roots, this means that for the function:

f(x) = y = a*x^2 + b*x + c

there is not a real number x such f(x) = 0

So the correct option is C.

The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.

The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,

[tex]y=f(x)[/tex]

Here, x is the roots of the function.

For no value of x-intercepts, the function become,

[tex]y=0[/tex]

[tex]f(x)=0[/tex]

Here, the zeros and roots are the same, where function become equal to zero.

Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

Learn more about the x-intercept here;

https://brainly.com/question/8018800

Answer:

Point B is equal to cos(160)

Step-by-step explanation:

160 deg is 160 deg counter-clockwise angle from +x-axis.

Hope this helps!

:)

Answer:

x coordinate of point B

Step-by-step explanation:

yw

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Answer:

x = 7

Step-by-step explanation:

We can use ratios to solve

3x-6            10

----------   = -------------------

12+(3x-6)        10+8

Simplifying

3x-6            10

----------   = -------------------

(3x+6)        18

Using cross products

18(3x-6) = 10(3x+6)

Distribute

54x - 108 = 30x +60

Subtract 30x from each side

54x-30x -108 = 60

24x -108 = 60

Add 108 to each side

24x = 60+108

24x = 168

Divide each side by 24

24x/24 = 168/24

x =7

Answer:

5

Step-by-step explanation:

The rate of change is the slope

y = 5x

The slope is the constant in front of the x

The constant rate of change is 5

Answer:

1 acute angle

2 acute angle

Step-by-step explanation:

less than 90° acute angle

more than 90° obtuse angle

90° right angle

Answer:

20.93cm

Step-by-step explanation:

The shape of the solid is rectangle

Area = length × width

But the width (w) = 2 times the length minus 2

W = 2L - 2

A = L × (2L - 2)

Area of the rectangle = 182cm²

A = 2L² - 2L

182 = 2L² - 2L

2L² - 2L - 182 = 0

L² - L - 91 = 0

Solving the equation using quadratic formula,

A = 1, b = -1, c = -91

L = [-b±√(b² - 4ac)]/2a

L = [-(-1) ± √((-1)² - 4*1*(-91))] / 2(1)²

L = [1 ± √(1² + 364)] / 2

L = [1 ± √(365)] / 2

L = (1 ± 19.10) / 2

Note : Since we're working with length, we can't have a negative value as a solution hence we would not test both sides

L = (1 + 19.10) / 2 = 10.05cm

Width = 2L - 2

W = 20.1 - 2 = 18.10cm

Length = 10.05cm

Width = 18.10cm

Diagonal of the rectangle = ?

To find the diagonal, we'll use pythagorean theorem,

A = diagonal

B = length

C = width

a² = b² + c²

a² = (10.05)² + (18.10)²

a² = 110.25 + 327.61

a² = 437.86

a = √(437.86)

a = 20.93cm

The diagonal of the rectangle is 20.93cm

Answer:

Omg i legit thought i had the answer

Step-by-step explanation:

Hi! I am very sorry I don't know the answer but I hope you figure it out soon!

Answer:

choosing two socks from a drawer of black and white socks without replacement

Step-by-step explanation:

Dependent events have results that depend on each other.  When I take one sock out, there are less socks in the drawer to pick from.  The probability of picking a certain sock changes because the number of socks are different when I do not put the sock back.  That makes the events dependent.

When I put the sock back, the  probability goes back to what it was before I took the sock, and now the results do not depend on each other, so when they are replaced, they are independent

Answer:

choosing two socks from a drawer of black and white socks without replacement

Step-by-step explanation:

choosing two socks from a drawer of black and white socks without replacement are dependent events because the available options for the second selection depends on which colour was the first sock

Answer:

397

Step-by-step explanation:

67 + 90 + (40 x 6)

PEMDAS

Parentheses first

67 + 90 + 240

Then add

157+240

397

Answer:

48

Step-by-step explanation:

Split it into 2 right triangles flip one around and you have a rectangle who's area is equal to 10x6.

a=6

c=2

b=?

Solve for b:

Answer:

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

16x + 4 = 15x + 10

X = 6

Answer:

24

Step-by-step explanation:

6(4) = 24

Answer:

24

Step-by-step explanation:

Answer:

x=-7,y=10,p=53°,k+w=90°,k=45°,w=45°

Step-by-step explanation:

hope this helps

Answer: X= -1

Step-by-step explanation:

Subtract 10 from both sides.

then Divide both sides by -5.

Answer:

129 = QRX

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

49+80 = QRX

129 = QRX

Answer:

129°

Step-by-step explanation:

Exterior angle = sum of interior angles

Angle QRX = 49 + 80

= 129°

Answer:

Y=9000(1.09)^X

Step-by-step explanation:

Answer:

4a^2−6b^2+2 so B

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

To find the common ratio

Take the second term and divide by the first

6/-2 = -3

Check by taking the third term and dividing by the second

-18/6 = -3

And the fourth and dividing by the third

64/-18 = -3

The common ratio is -3

Answer:

-3

Step-by-step explanation:

-2(-3)=6

6(-3)=-18

etc...

Answer:

[tex]\sqrt{89}[/tex]

Step-by-step explanation:

distance = [tex]\sqrt{(x_{2}- x_{1})^{2} + { (y_{2} - y_{2} } ){^2} }[/tex]

Let:

(x₁ , y₁) = (0 , 5)

(x₂ , y₂) = (8 , 0)

Plug in the corresponding numbers to the corresponding variables:

Remember to follow PEMDAS. Solve the parenthesis first:

distance = [tex]\sqrt{(8- 0)^{2} + { (0 - 5 } ){^2} }[/tex]

distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]

Solve for the powers next:

distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]

distance = [tex]\sqrt{64 + 25}[/tex]

Simplify:

distance = [tex]\sqrt{64 + 25}[/tex]

distance = [tex]\sqrt{89}[/tex]

~

Answer:

By 4 dollars so the final price is 14$

Step-by-step explanation:

Answer:She raised the price $4.

Step-by-step explanation: Multiply 10 and .40 to get $4.

Answer:

4,600

Step-by-step explanation:

92,000/8= 11500

11500 x 4= 46000 to his wife

11500 for the son

92000-57500= 34500

34500/5= 6,900 each charity

11500-6900= 4600 is how more he is getting than each charity

Answer:

4600 more money

Step-by-step explanation:

92000 ÷ 8 = 11500

1 part to his son

3(11500)= 34500

34500 ÷ 5 = 6900

11500-6900= 4600

Answer:

0

Step-by-step explanation:

If y=x then there is no change so the answer will always be 0

Answer: 0

Explanation: y=x then there is no change so the answer will always be 0. Mark Me Brainiiest, please.......

Answer:

The first choice is correct

Step-by-step explanation:

$32.00 x 15% = 4.80. 32.00-4.80=27.20. Another way to work it is the first choice, subtracting 15% from 100% and then multiplying 85% by $32.00. Same answer