Akiko wants to fence in her [tex]12[/tex] ft by [tex]10[/tex] ft vegetable garden. There will be a path [tex]x[/tex] ft wide between the garden and the fence. The area to be enclosed by the fence will be [tex]360[/tex] sq ft. Write a quadratic function that can be used to determine the value of [tex]x[/tex].

Answer:

The maximum height that the rocket will reach is 271 feet.

Step-by-step explanation:

We first calculate the time, t it takes the rocket to reach maximum height from v = u - gt. Since u = initial velocity = 128 ft/s, v = velocity at maximum height = 0  ft/s and g = acceleration due to gravity = 32 ft/s².

So, v = u - gt.

t = (u - v)/g

= (128 ft/s - 0 ft/s)/32 ft/s²

= 128 ft/s ÷ 32 ft/s²

= 4 s.

We calculate the maximum height from

y - y₀ = ut - 1/2gt² where y₀ = 15 ft and all other variables are as above.

Substituting these values into the equation, we have

y - y₀ = (u - 1/2gt)t

y - 15 ft = (128 ft/s - 1/2 × 32 ft/s² × 4 s) × 4 s

y - 15 ft = (128 ft/s - 64 ft/s)4 s

y - 15 ft = 64 ft/s × 4 s

y - 15 ft = 256 ft

y = 256 ft + 15 ft

y = 271 ft

So, the maximum height that the rocket will reach is 271 feet.

Answer:

Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.

Step-by-step explanation:

6s -540 = 60 or 6s - 540 = -60

First equation

addition property of equality: 6s -540 + 540 = 60 + 540

simplify: 6s = 600

division property of equality: 6s/6 = 600/6

simplify: s = 100

Second equation

addition property of equality: 6s -540 + 540  = -60 + 540

simplify: 6s = 480

division property of equality: 6s/6 = 480/6

simplify: s = 80

Answer:

25,000,000

Step-by-step explanation:

Answer:

y=2x-2

you could use y=mx+b

Answer:b

Step-by-step explanation:

The equation for the perpendicular bisector of line segment XY is 2x + y = 7, the correct option is A.

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The line segment XY  has the points  X(5, 7) and Y(–3, 3).

The slope of the line is,

m = ( 3 - 7) /( -3 - 5)

m = -4 / -8

m = 1 /2

The product of the slope of a line and a line perpendicular to it is -1.

( 1/2) * m' = -1

m' = -2

As it is a bisector , the midpoint of X and Y will be the point on the line.

Midpoint of XY is ( ( 5 -3)/2 , (7+3)/2 )

Midpoint of XY is ( 1 , 5)

The equation of the perpendicular bisector of line segment XY is,

y = -2x +c

5 = -2 + c

c = 7

So, the equation is,

y = -2x +7

2x +y = 7

To known more about standard equation of a line

https://brainly.com/question/12452575

#SPJ6

Answer:

35

Step-by-step explanation:

(-5)(-7) is a multiplication problem, so you would multiply -5 and -7 together to get 35 as two negatives make a positive

Answer:

We need help someone please help us please

Step-by-step explanation:

Divine the total number of the entire chart by the number of a single line or bar to give you the ratio in a bar or line chart. For example, if a bar or line represented 5 in a chart with a total of 30, you would divide 30 by 5. This would give you a result of 6. Therefore, the ratio would be 6:1.

Answer:

Hope this helps any! I hope this is right!

Step-by-step explanation:

8:24

4:12

16:48

Answer:

true

Step-by-step explanation:

Answer: false

Step-by-step explanation: the lines are always going to intersect

To solve this youd have to do 72-15 which equals out to be 68 feet.

Your answer is The submarine descended 68 feet.

Answer:

y = 5/2x - 5

Step-by-step explanation:

Step 1: Write equation

5x - 2y = 10

Step 2: Solve for x

Answer:

y = (5/2)x - 5

Step-by-step explanation:

5x-2y = 10

Subtract 5x from both sides

-2y = 10 - 5x

Rearrange

-2y = -5x + 10

divide both sides by -2 to isolate y

y = (5x/2) + (10/-2)

y = (5/2)x - 5

Answer:

20

Step-by-step explanation:

0.25(x+40) = 3+0.75(x - 4)

Answer:

see below

Step-by-step explanation:

x+ 7.05 = 45.3

Subtract 7.05 from each side

x+ 7.05-7.05 = 45.3-7.05

x =38.25

Let x be the number

x+3.5 = -4.3

Subtract 3.5 from each side

x+3.5 - 3.5 = -4.3-3.5

x = -7.8

x is the cost of the drawing tablet

x+ 3.95 = 6.94  correct

The second equation add the total cost plus the cost of the drawing tablet  and sets it equal to the cost of the pencils.  This is not correct

6.94+x = 3.95   incorrect

Answer:

1. x=38.25

2. -7.8

3. the second option

Step-by-step explanation:

1. x+7.05=45.3

(move the constant to the right)

x=45.3-7.05

(calculate)

x= 38.25

(answer)

2.

(you subtract -4.3 by 3.5)

3.

(you can't use $6.94 + x = $3.95 because $6.94 is your total overall so you can only use that as your end result)

Answer:

z =  4.90131578

Step-by-step explanation:

Answer:

9.8z + 113.3

Step-by-step explanation:

Combine like terms!

12.5z - 2.7z = 9.8z

19.4 + 93.9 = 113.3

1.5*10^6x

..................

Answer:

I think it is C tell me if im wrong :\

Answer:

x = 57

Step-by-step explanation:

180 degrees in a triangle

67 + 56 = 57

==================================================

Explanation:

The three angles of any triangle always add to 180

x+67+56 = 180

x+123 = 180

x+123-123 = 180-123 .... subtract 123 from both sides

x = 57

The missing angle is 57 degrees

-------------

Check:

x+67+56 = 57+67+56 = 180

Answer is confirmed.

Answer:

IIIlas' car 74.107  L

Hanis car 72.173 L

Step-by-step explanation:

Answer:

Answer:

7x [tex]\leq[/tex] $14 ;  x[tex]\leq[/tex] 2

Step-by-step explanation:

Where x represents the number of lunches

Answer:

f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)] grams

Step-by-step explanation:

Given that:

   C = 4h + 9f + 4p

where: C is the calorie count contained in the serving, h is the number of grams of carbohydrate contained in the​ serving, f is the number of grams of fat contained in the​ serving, and p is the number of grams of protein contained in the serving.

To solve for the number of grams of fat, then;

C - 4h - 4p = 9f

C - 4(h - p) = 9f

Divide through by 9, so that:

[tex]\frac{C - 4(h - p)}{9}[/tex] = [tex]\frac{9f}{9}[/tex]

[tex]\frac{C - 4(h - p)}{9}[/tex] = f

∴     f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)]

The number of grams of fat, f, contained in a serving of food is [tex]\frac{1}{9}[/tex] [C - 4(h - p)]

Answer:no

Step-by-step explanation:

U add shush and shush

Answer:

1 cup

Step-by-step explanation:

1/5 + 4/5 = 5/5 = 1 cup

Answer:

60n-30

Step-by-step explanation:

you would do 15 * 4n

that would give you 60. since 15 *4 is 60 and then you would just put the n

15*2 equals 30. You would make it a negative 30 since it is a negative 2.

then you would combine them and get the answer

60n-30

Hope this helps!

Answer:

Nonlinear have a good day

Step-by-step explanation:

Answer:

C

Step-by-step explanation: