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Answer:

x - 2y - 8 = 0

Step-by-step explanation:

y + 2 = 1/2x - 2

y + 2 + 2 - 1/2x = 0

-1/2x + 4 + y = 0

-2[-1/2x + y + 4] = 0(-2)

x - 2y - 8 = 0

Answer:

What terms?

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope is -3/2. rise/run. There's already a graph there so I'm assuming no need to show one

Answer:

slope: -3/2

y intercept: -1

equation: y = -3/2x-1

Answer:

2:6

Step-by-step explanation:

2 banana nut, to, 6 chocolate chip

Answer: 4 Rules

Step-by-step explanation:

To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

Answer:

I belive its c

Step-by-step explanation:

there are two rules for adding integers

Answer:

56/100 or 14/25 simplified

Answer:

i think B if not sorry

Step-by-step explanation:

Answer:

67.7

Step-by-step explanation:

perimeter=15+15+6pi+6pi

=67.7

Answer:

118

Step-by-step explanation:

27x+2=118[being alternate angles ]

27x=116

x=4.29

one angle =27×4.29+2

117.83

118

10x+5+118=180[sum of angles of triangle is 180]

10x+5+118=180

X=62

Answer:

Step-by-step explanation:

(a)

Suppose we came up with an ideology whereby we pick a value for the length including the length dividing the inside into 4 parts(5 parallel sides), then we can get the value for breath by using the following process.

Let assume the length of the rectangle is 50;

Then, the breath can be calculated as follows:

= 50 × 5 = 250   ( since the breath is divided into 5 parallel sides)

The fencing is said to be 950 ft

So, 950 - 250 = 700

Then divided by 2, we get:

= 700/2

= 350

So for the first diagram; the length = 50 and the breath = 350

The area = 50 × 350 = 17500 ft²

Now, let's go up a little bit.

If the length increase to 100;

Then 100 × 5 = 500

⇒ 950 - 500 = 450

⇒ 450/2 = 225

The area = 225 × 100 = 22500 ft²

Suppose the length increases to 150

Then 150 × 5 = 750

⇒ 950 - 750 = 200

⇒ 200/2 = 100

The area = 150 × 100 = 15000 ft²

The diagrams for each of the outline above can be seen in the image attached below.

(b) The diagram illustrating the general solution can be seen in the second image provided below.

(c) The expression for  the total area A in terms of both x and y is:

Area A = x×y

(d) Recall that:

The fencing is said to be 950 ft.

And the length is divided inside into 5 parallel sides;

Then:

5x + 2y = 950  (from the illustration in the second image below)

2y  = 950 - 5x

[tex]y = \dfrac{950}{2} - \dfrac{5}{2}x[/tex]

[tex]y = 475- \dfrac{5}{2}x[/tex]

(e)

From (c); replace the value of y in (d) into (c)

Then:

Area A = x×y

[tex]f(x)= x\times ( 475 -\dfrac{5}{2}x)[/tex]

Open brackets

[tex]f(x)= ( 475 x-\dfrac{5}{2}x^2)[/tex]

(f)

By differentiating what we have in (e)

[tex]f(x)= ( 475 x-\dfrac{5}{2}x^2)[/tex]

[tex]f'(x)= ( 475 (1)-\dfrac{5}{2}(2x))[/tex]

[tex]f'(x)= 475 -5x[/tex]

[tex]\implies 475 = 5x[/tex]

x = 475/5

x = 95

From (d):

[tex]y = 475- \dfrac{5}{2}x[/tex]

[tex]y = 475- \dfrac{5}{2}(95)[/tex]

[tex]y =237.5[/tex]

∴

Area A = x × y

Area A = 95 × 237.5

Area A = 22562.5 ft²

Answer:

if right triangle 10.2956 hypotenuse 7.4833 if not a right triangle then greater than 4

Step-by-step explanation:

If it’s a right triangle, and the 2 sides are 5 and 9, then the 3rd side ( the hypotenuse) will be 10.2956. If one side is 5, and the hypotenuse is 9, then the 3rd side will be 7.4833.

If it’s not a right triangle, then the 3rd side must be greater than 4.

Answer:

y= (9-5x)/4

Step-by-step explanation:

5x+4y=9

-5x     -5x

4y=9-5x

/4    /4

y= (9-5x)/4

Answer:

6 stations

Step-by-step explanation:

24=1,2,3,4,6,8,12,24

18=1,2,3,6,9,18

Now we have to find which numbers are the same but that are the largest.

so It would be 6.

So Mrs.Davis can have every student participate in 6 stations.

Answer:

Tax is 9.76 total cost is 131.74

Step-by-step explanation:

40.66 x 3= 121.98

121.98 x .08= 9.76

121.98+9.76= 131.74

Answer:

Step-by-step explanation:

Answer:

x=

2

f

2

−8f+4

​

​

−

2

f

​

+1

x=−

2

f

2

−8f+4

​

​

−

2

f

​

+1, (f



=0 and f≤4−2

3

​

) or f≥2

3

​

+4

Step-by-step explanation:

im srry if this is wrong

Answer:

40[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

x+y=5

Step-by-step explanation:

The graph that shows the solution of the system of inequalities is A y> -3  and y≤ -x

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

We have been given graph,

we can see that shaded portion lies above the dotted line which shows open interval (y >-3 ).  

Here the graph lies below the line y= -x ,

Thus, the solution region will be y ≤ -x ,

hence, the solution region is given by system of inequalities ;

y> -3  and y≤ -x

Learn more about inequalities here:

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Answer:

1)27.25 feet

2)-0.2774,2.027

3)Domain = All real numbers

Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]

Step-by-step explanation:

The height of the football, h, at time t seconds is modeled by the equation [tex]h(t) = -16t^2 + 28t + 15[/tex]

General quadratic equation : [tex]ax^2=bx+c=0[/tex]

1) Maximum height will be at [tex]\frac{-b}{2a}=\frac{-28}{2(-16)}=\frac{7}{8}[/tex]

To find maximum height Substitute [tex]t = \frac{7}{8}[/tex] in the given equation

[tex]h(t)=-16(\frac{7}{8})^2+28(\frac{7}{8})+15\\h(t)=27.25 feet[/tex]

2)

Substitute h(t)=6

So, [tex]-16t^2+28t+15=6[/tex]

[tex]-16t^2+28t+9=0\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-28\pm \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=\frac{-28+ \sqrt{28^2-4(-16)(9)}}{2(-16)},\frac{-28- \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=-0.2774,2.027[/tex]

3)

Domain = All real numbers

Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]

Answer:

The answer should be -2x^2+6x

Answer:

radius : 29.99 feet

Area : 2824.57 square feet

Step-by-step explanation:

The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.

What information do we have?

Radius of semi-circle = 8 / 2 = 4 unit

Length of remain Rectangle = 8 unit

Width of remain Rectangle = 2 unit

Perimeter of shaded figure = πr + (l + 2b)

Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]

Perimeter of shaded figure = 12.56 + 4 + 4

Perimeter of shaded figure = 20.56 units

Area of shaded figure = πr²/2 + lb/2

Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2

Area of shaded figure = (3.14)(8) + 8

Area of shaded figure = 25.12 + 8

Area of shaded figure = 33.12 unit²

Find out more information about 'Area'.

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Answer:

18/2 is 9

Step-by-step explanation:

2*9 is 18

Answer: None of these answers are correct.

Explanation: 2÷18 is 1/9 (one ninth).

Answer:

Here angle B is 90°

So [tex]\triangle ABC[/tex] and [tex]\triangle ABD [/tex] Are right angled triangle

So we use Pythagoras thereon for solution

perpendicular=p=8cm

Hypontenuse =h =10cm

According to Pythagoras thereon

[tex]{\boxed{\sf b^2=h^2-p^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf b^2=10^2-p^2[/tex]

[tex]\longrightarrow[/tex][tex]\sf b={\sqrt {10^2-8^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf b={\sqrt{100-64}}[/tex]

[tex]\longrightarrow[/tex][tex]\bf b={\sqrt {36}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf b=6[/tex]

[tex]\therefore[/tex][tex]\overline{BC}=6cm[/tex]

[tex]\longrightarrow[/tex][tex]BD=9+6[/tex]

[tex]\longrightarrow[/tex][tex]BD=15cm [/tex]

Perpendicular=p=8cm

Base =b=15cm

According to Pythagoras thereon

[tex]{\boxed {\sf h^2=p^2+b^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h^2=8^2+15^2 [/tex]

[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {8^2+15^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {64+225}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {289}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h=17cm [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf x=17cm}}}[/tex]

Answer:

65 degrees

Step-by-step explanation:

115*2=230

360-230=130

130/2=65

65 degrees is the answer.

Answer:

13

Step-by-step explanation:

9/(2/3) = 27/2 = 13.5

Answer:

.7881

Step-by-step explanation:

Answer:

36.598 - 0.001 = 36.597