What is the area of the figure below??? Giving first answer brainliest as long as they have an explanation! Worth 10pts!!

Answer:

1) The equation for the of the ball in y = a·(x - h)² + k is;

y = -16·(x - 5)² + 25

2) The height of the dock, d =  -375 feet below the water level

Step-by-step explanation:

1) The question is with regards to quadratic function representing projectile motion

The given parameters are;

The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet

The time the ball hits the water = 6 seconds after reaching the 9 feet height

The form of the quadratic equation representing the motion is given as follows;

y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k

Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;

The equation for the ball, y = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

h = The horizontal component of the vertex coordinate = 0

Therefore, we have;

When x = 0, y = d

d = -16·(0 - h)² + k =  -16·h² + k

d = -16·h² + k  

When x = 4, y = 9 - d

9 - d = -16(4 - h)² + k = -16(4 - h)² + k

When x = 2, y = d

d = -16(2 - h)² + k

When x = 6, y = 9

9 = -16(6 - 5)² + k

When x = 8, y = d

d = -16(8 - h)² + k

-16(8 - h)² - (-16(2 - h)²) = 0

h = 5

From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k

d = 9 - k

9 = -16(6 - h)² + k

k = 9 + 16(6 - 5)² = 25

d = 9 - k = 9 - 25 = -16

Therefore, h = 5, k = 25

The equation for the of the ball in y = a·(x - h)² + k is therefore;

y = -16·(x - 5)² + 25

2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water

The height of the dock, d =  -375 feet below the water level

Answer:

$72

Step-by-step explanation:

$768/265 = $3

$3 x 24 = $72

Answer:

$72

Step-by-step explanation:

768/256 = how much each hot dog was sold for

768/256 = 3

Each hot dog was sold for $3.

24*3 = $72

Therefore, the cost of 24 hot dogs is $72.

Answer:

non linear

Step-by-step explanation:

you can see it doesnt go up a specific number each time, aka changes each time, therefor its  non linear

Answer:

2

Step-by-step explanation:

Use the method

Change in output  / Change in input

The input progresses by 1, and y progresses by 2.

We will plug the numbers in.

2/1

Then simplify.

2/1 = 2

Hence, the rate of change is 2.

Answer:

it is D

since 6 percent of people infected by 10 day

Answer:

C. ASA E. AAS B. HA

Step-by-step explanation:

ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

AAS -  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.

HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.

Answer:

c.asa

Step-by-step explanation:

only C. asa tgat correct answer

Question:

Make a list of the different arrangements that Mrs. Buchanan could use.

Answer:

[tex](x,y) = \{(1,36),(2,18),(3,12),(4,9),(6,6)\}[/tex]

Step-by-step explanation:

Given

[tex]Members = 36[/tex]

[tex]Rows\ Limit = 6[/tex]

Represent the rows with x and the column, y.

This means that:

[tex]x * y = 36[/tex]

Make y the subject:

[tex]y = \frac{36}{x}[/tex]

The list is then generated as follows:

When x = 6.

[tex]y = \frac{36}{6} = 6[/tex]

[tex](x,y) = (6,6)[/tex]

When x = 5

[tex]y = \frac{36}{5} = 7.2[/tex]

This result can not be use because the result of the number of columns must be an integer

When x = 4

[tex]y = \frac{36}{4} = 9[/tex]

[tex](x,y) = (4,9)[/tex]

When x = 3

[tex]y = \frac{36}{3} = 12[/tex]

[tex](x,y) = (3,12)[/tex]

When x = 2

[tex]y = \frac{36}{2} = 18[/tex]

[tex](x,y) = (2,18)[/tex]

When x = 1

[tex]y = \frac{36}{1} = 36[/tex]

[tex](x,y) =(1,36)[/tex]

So, the possible list is:

[tex](x,y) = \{(1,36),(2,18),(3,12),(4,9),(6,6)\}[/tex]

Answer:

z>-4

Step-by-step explanation:

Answer:

z>4

Step-by-step explanation:

-2z-3<5

add 3 to 5: -2z < 8

divide by -2: z < -4

but since you divided by a negative number, you have to change the way the inequality is facing so the answer is z>-4

#1

[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]

[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]

[tex]\\ \tt\hookrightarrow 2x=32[/tex]

[tex]\\ \tt\hookrightarrow x=16[/tex]

#2

[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]

[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]

[tex]\\ \tt\hookrightarrow 32x=192[/tex]

[tex]\\ \tt\hookrightarrow x=6[/tex]

Taking the test rn, it’s 190 square inches.

Found the answer on another site. Worked fine, hope that helps

Answer:

440

Step-by-step explanation:

I HAVE I READY TOO AND IT’S KILLING ME

Answer:

A and C

Step-by-step explanation:

Answer:

[tex]A_n = 7(-6)^{n-1}[/tex]

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

--> r means the constant (or common ratio) that is being multiplied.

--> [tex]a_1[/tex] means the first term

--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).

--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).

--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)

This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]

Hope you understood and have a nice day!! :D

Answer:The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.

Step-by-step explanation:

Answer:

Lol its 8

Step-by-step explanation:

Answer:

15% off of $60.00 would be $51.00

Step-by-step explanation:

(15 x 15) / 100 = 9

60-9=51

        </3 PureBeauty

Answer:

The answer is below

Step-by-step explanation:

a) Let y represent the amount of time kiran slept, hence:

y = x - (1/10)x = x - 0.1x

y = 0.9x

b) Let y represent the amount of time Mia practice, hence:

y = x - (2/5)x = x - 0.4x

y = 0.6x

c) Let y represent the amount of drink kiran drank, hence:

y = x + (4/3)x = 7x / 3

y = 7x/3

d) Let y represent the money Mai spent, hence:

y = x - (1/4)x  = x - 0.25x

y = 0.75x

e) Let y represent the amount of almond kiran ate, hence:

y = x + 1.5x = 2.5x

f) Let y represent the recycling Mai collected, hence:

y = x - (3/10)x = x - 0.3x

y = 0.7x

g) Let y represent the amount of km kiran walked, hence:

y = x + (3/8)x

y = (11/8)x

h) Let y represent the amount of puzzles mai completed, hence:

y = x + (3/5)x = x + 0.6x

y = 1.6x

Answer:

Uber: y = .25x + 3

Lyft: y = .75x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the weight 3 month ago be x.

20% more than x is:

We now have the following equation:

Answer:

its C

Step-by-step explanation:

The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!

Answer:

the answer is actually c.

Step-by-step explanation:

I took the test and you would want the line to be going to the greater value of -3 because x is greater than -3.

Hope this helps :)

Answer:

the answer is c

Step-by-step explanation:

i took the test and got it right.

Answer:

Amount of motorcycle = $11,500

Step-by-step explanation:

Given:

Tax rate = 12.5 % = 0.125

Amount of tax = $1,437.50

Find:

Amount of motorcycle

Computation:

Amount of motorcycle = [Amount of tax ] / Tax rate

Amount of motorcycle = [1,437.50] / 0.125

Amount of motorcycle = $11,500

Answer:

the second one

Step-by-step explanation:

Answer:

(10, 1)

Step-by-step explanation:

It tells you that when you translate it you add 2 to the x-coordinate and subtract 7 from the y-coordinate. This means that the point E, (8, 8), would become (8 + 2, 8 - 7) or (10, 1).

Answer:

$303.24

Step-by-step explanation:

399.00x24%=95.76

399.00÷95.76=303.24

____________________________

 - We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.

Equation at the end of Step 1:

 - We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.

Equation at the end of Step 2:

 - We do this because we need one number left over to get a simplified version of this equation.

Equation at the end of Step 3:

____________________________

Answer:

b. 1 foot 5 inches

Step-by-step explanation:

because one foot is 12 inches

Answer:

2000

Step-by-step explanation:5%= 100 nickels

1%= 20 nickels

20 x 100 = 2000

Answer:

2,000

Step-by-step explanation:

If 5%=100 nickels , then 20x100=the number of nickels Chi has.  

20x100=2,000