swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive.
Which equation represents the axis of symmetry? 1) x=3
2) y=3
3) x=23
4) y=23

Answer

Step-by-step explanation:

(

7

,

13

)

,

(

−

14

,

19

)

Use the midpoint formula to find the midpoint of the line segment.

(

x

1

+

x

2

2

,

y

1

+

y

2

2

)

Substitute in the values for

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

.

(

7

−

14

2

,

13

+

19

2

)

Subtract

14

from

7

.

(

−

7

2

,

13

+

19

2

)

Move the negative in front of the fraction.

(

−

7

2

,

13

+

19

2

)

Add

13

and

19

.

(

−

7

2

,

32

2

)

Divide

32

by

2

.

(

−

7

2

,

16

)

Answer:

You first plot the point (0,2), then when the x-value of the graph increases by 3, decrease the y-value of the graph by 1, and when the x-value o the graph decreases by 3, increase the y-value of the graph by 1.

Step-by-step explanation:

The equation would be [tex]y = -\frac{1}{3}x+2[/tex]. To graph it, you first need to find the y-intercept, which is the coordinate on the line when the x-value equals 0. If x = 0, [tex]y = -\frac{1}{3}x+2[/tex] would become [tex]y = 2[/tex] since anything multiplied by 0 would become 0. Now you've located the y-intercept, which is (0, 2). The slope of a line is the coefficient of the variable x. Since the slope is a negative number, the line will go downwards as it increases its x-value and goes upward as it decreases its x-value. A slope of [tex]-\frac{1}{3}[/tex] would mean that when the x-value increases by 3, the line's y-value will decrease by 1. And when the x-value decreases by 3, the line's y-value will increase by 1. An x-value increase of 6 would be a decrease of 2, and so on. Two other obvious points on the line would be (6,0) and (3, 1).

Answer:

Step-by-step explanation:

Given points

Point (0,0)

Point (-4,1)

Point (-1,2)

Point (0, 0)

Point (-4, 1)

Point (-1,2)

9514 1404 393

Answer:

  a.  all points are part of the solution set

  b.  no points are in the solution set

Step-by-step explanation:

Graphs of the two systems of inequalities are attached.

a) The red area on the graph is the solution. The two inequalities can be combined to one compound inequality:

  x -1 < y < -1/2x +2

The two boundary lines intersect at x-1 = -1/2x +2   ⇒   x = 2, so there are no points in the solution set with x-values of 2 or greater.

All of the given points are in the solution set.

__

b) The green area of the graph is the solution. Solving each inequality for y gives ...

  x -2y ≥ 4  ⇒  1/2x -2 ≥ y

  2x -y ≥ -1  ⇒  2x +1 ≥ y

The allowed values of y must be less than or equal to the minimum of these limits. The limits have the same value at 1/2x -2 = 2x +1   ⇒   x = -2, so the solution set is the area below and right of that intersection point of the two boundary lines.

None of the given points are in the solution set.

894

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Answer:

i think it would be around 34 feet

Step-by-step explanation:

the bottom is cut in half and each half is 8 and 1/2 feet so if you add 8 and 1/2 + 8 and 1/2 you would get 17 and then the top is rounded so you would just add 17 and 27 together to get the distance around.

Answer:

9 times as many as 3 is 27.

Step-by-step explanation:

Answer:

15/4r+1/4x

Step-by-step explanation:

11.7

Formula: a^2 + b^2 = c^2

so substitute the numbers like this:

10^2 + 6^2 = c^2

both 10^2 and 6^2 are perfect squares:

10 × 10= 100 and 6 × 6= 36

100 + 36= c^2

add:

100 + 36 =

136 = c^2

now in order to get rid of the squared, you put it into a radical:

√136 = √c^2

note: whatever you do on one side, you do to the other

it's easier to use the calculator for this so put √136 and you're gonna get 11.66

since it's asking you to round it to the nearest tenth:

11.66 = 11.7

sorry if the explanation is kinda long ✋ i tried explaining it better in the end but i failed

Answer:

24y^3-6y^2-30

Step-by-step explanation:

6y(-5-y+4y^2)

-30y-6y^2+24y^3

Put in the correct order

24y^3-6y^2-30

Answer:

I believe the answer is $70

Step-by-step explanation:

I used the formula

x= 0.6x + $28

x= the original price

Answer:

f(7)=-196

Step-by-step explanation:

f(7)=-3(7)^2-7(7)

f(7)=-3(49) -49

f(7)= -147 -49

f(7)=-196: ANSWER

Hope this helps! This is also written in the comment too!

Answer:

Well we know that it's a linear because it has a exponent so what we do to answer this question

Step-by-step explanation:

------

- b+ v. b2 -4ac

x= ____________

2a

x2+ 12x +20 =0

a=1

b=12

c=20

_______

X= -12+v 12 2 -4 • 1 • 20

___________________

2•1

Answer:

2; 10

Step-by-step explanation:

12/2 = 6

[tex](x+6)^{2}[/tex] = [tex]x^{2}[/tex] +12x + 36

   [tex]x^{2}[/tex] +12x + 20

-   [tex]x^{2}[/tex] +12x + 36

    0 + 0  - 16

[tex](x+6)^{2}[/tex] - 16 = 0

[tex](x+6)^{2}[/tex] = 16

x + 6 = [tex]\sqrt{16}[/tex]

x = -4 + 6 = 2

x = 4 + 6 = 10

Answer:

Area: 2π square units

Perimeter: 3π units

Step-by-step explanation:

Please let me know if you want me to add an explanation.

Answer:

8 dimes and 14 quarters.

Step-by-step explanation:

d and q are the number of dimes and quarters, respectively.

"22 coins, all dimes and quarters"

d+q = 22

d = 22-q

"total value is $4.30"

0.10d + 0.25q = 4.30

substitution

0.10(22-q) + 0.25q = 4.30

2.2 + 0.15q = 4.30

q = 14

d = 22-q = 8

8 dimes and 14 quarters.

Answer:

The answer is 150.72

Step-by-step explanation:

[tex]v = \pi {r}^{2} \times h \\ = 3.14 \times 4 \times 4 \times 3 \\ = 150.72 {ft}^{3} [/tex]

Answer:

IS NOT 150.72 SOMETHING DONT LISTEN JUST PUT 113.04 THATS THE ANSWER

Step-by-step explanation:

Answer:

2.5 hours

Step-by-step explanation:

it takes him 2.5 hours

Answer:

The time is 2.5 hours.

Step-by-step explanation:

7.5/3=2.5

hope this helps!

Answer:

Vertical compression

Step-by-step explanation:

g(x)=0.25f(x), if you substitute for f(x) you get B

Answer:

1. Supplementary

2. Complimentary

3. Supplementary

4. Complementary

5. Supplementary

6. Complimentary

7. Supplementary

8. Neither

9. Complimentary

Step-by-step explanation:

Remember that Supplementary angles result in two angles that sum up to 180 degrees, while Complimentary angles sum up to 90 degrees. The angles that did not sum up to 90 or 180 were neither Supplementary nor complimentary.

I hope I helped :)

Would appreciate Brainliest ;)

Answer:

Y= -x-4

(-1,-3)

Step-by-step explanation:

Simply plot the point (-5,1) and draw in a line with a slope of -1. Take the slope of this line and the point it crosses the y-axis and use them to set up slope intercept form.

Answer:

One of the benefits of Cavalieri's principle is that it allows us to determine the volume of an oblique prism (or oblique cylinder). When dealing with two prisms (or two cylinders), if the base areas are equal and the heights are equal, then the volume is V = Bh regardless of the overall shape.

( i cant see the answers well so estimate to the one that applies)

Answer:

(1) x = -1 (1) y = 4

Step-by-step explanation:

r. (1) 5x - 3x = -5 + 3

       2x = -2; x = -1

(1) 5y - 2[y - 3y +15] = 6

    5y - 2y+6y - 30 = 6

    9y = 36; y = 4

Have a good day!

The mean absolute deviation of the data set is 1.6

0, 0, 0, 5, 0

Mean = Summation of data / Number of data

Mean = 5 / 5

Mean = 1

Mean absolute deviation = absolute deviation / number of data

Mean absolute deviation = 8/5

Mean absolute deviation = 1.6

Learn more about mean absolute deviation:

https://brainly.com/question/10258446

Answer:

SAMPLE RESPONSE

Step-by-step explanation:

Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

Answer:

3 quarters and 19 nickles

Step-by-step explanation:

.

Step-by-step explanation:

10w¹⁰ - 19w⁹ + 6w⁸

= w⁸(10w² - 19w + 6)

= w⁸(2w-3)(5w-2)

The value of the equation after factorization is A = w⁸ ( ( 5w - 2 ) ( 2w - 3 ) )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 10w¹⁰ - 19w⁹ + 6w⁸   be equation (1)

Now , on factorizing the equation , we get

Taking the common factor as w⁸ , we get

A = w⁸ ( 10w² - 19w + 6 )

On further simplification , we get

A = w⁸ ( 10w² - 15w - 4w + 6 )

Now , on factorizing the equation , we get

A = w⁸ ( 5w ( 2w - 3 ) - 2 ( 2w - 3 ) )

And , the equation will be

A = w⁸ ( ( 5w - 2 ) ( 2w - 3 ) )

Therefore , the value of A is w⁸ ( ( 5w - 2 ) ( 2w - 3 ) )

Hence , the equation is A = w⁸ ( ( 5w - 2 ) ( 2w - 3 ) )

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

In one hour Stephanie earns $1.50 more than Marco

Step-by-step explanation:

w=9h

H is a variable

9×hour= wage

9×15= $135

9×18= $162

157.50-135=$22.50

189-162=$27

27-22.50=4.50

Now cause its per hour we know she earns $4.50 more in 3 hours.

4.50÷3=$1.50