. Find (x² + 7x + 14) ÷ (x + 4) by using long division

Answer:

(2, 11)

Step-by-step explanation:

Using the information you were give, plug it into this formula:

(x₁ + x₂)/2, (y₁ + y₂)/2

This should give you a new coordinate.

Answer:

Well We  need to get rid of 1200 mb so your estimated guess would be to delete~2523~ photos If i get this wrong Im very sorry.

Step-by-step explanation:

The sum of the given expression will be equal to -12.

Algebra is the study of mathematical symbols and the rules for manipulating them in formulas; it is a common thread that runs through practically all of mathematics.

The solution of the given expression will be:-

= [  3  -  8  ]  +  [  4   -  5  -  6  ]

= [  -5  ]  +  [  -7  ]

= [  -12  ]

Therefore the sum of the given expression will be equal to -12.

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Answer:

answer is 152

Step-by-step explanation:

i mutiplied $16 and $8 and got 128 the subtracted 128 and 280 and final answer is 152

Answer:

y=8

Step-by-step explanation:

SR=2×SG

AND SG=GR

3y-16=2×4

3y-16=8

3y=8+16

3y=24

y=8

If the height of the cylinder is 3 feet and the base radius of the cylinder is 1 foot. Then the volume of the cylinder will be 9.43 cubic feet.

A cylinder is a closed solid with two parallel circular bases and a curving surface connecting them.

A steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one.

Then the volume of the cylinder will be

The volume of the cylinder is given as

Volume = πr²h

where r is the radius and h is the height of the cylinder.

We have

h = 3 ft

r = 1 ft

Then the volume of the cylinder will be

Volume = π x 1² x 3

Volume = π x 3

Volume = 9.4247

Volume ≅ 9.43 cubic ft

Then the volume of the cylinder will be 9.43 cubic feet.

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Answer:

27.5

Step-by-step explanation:

<DAC is an inscribed angle that subtends a half circle, so m<DAC = 90°.

Triangle DAC is a right triangle.

CD = 30

AD = 12

(AC)² + (AD)² = (CD)²

(AC)² + 144 = 900

AC = √756

AC = 27.5

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad Q(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-1 - 5]^2 + [-1 - 7]^2}\implies PQ=\sqrt{(-6)^2 + (-8)^2} \\\\\\ PQ=\sqrt{36+64}\implies PQ=10[/tex]

The graph is a linear inequality, and the inequality that describes the graph is y < 2x - 1

From the graph, we have the following features:

Next, we calculate the slope using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{1 + 1}{1 - 0}[/tex]

m = 2

The inequality is then calculated using:

y < mx + b

This gives

y < 2x - 1

Hence, the inequality that describes the graph is y < 2x - 1

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Answer:

Step-by-step explanation:

45÷8 = 5.625

The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin and directrix is y² = 16x.

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

Given that the parabola's vertex is located at the origin and that the directrix is at x = -4, the focus is at (4,0).

Then the equation can be written as

[tex]\rm \sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2 + (y-y)^2}\\\\\sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2}[/tex]

On squaring both sides, we have

[tex]\begin{aligned} (x-4)^2 +(y-0)^2 &= (x+4)^2 \\\\x^2 + 16 - 8x +y^2 &= x^2 + 16 + 8x\\\\y^2 &= 16x \end{aligned}[/tex]

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The number of cookies baked by Tanya in 12 batches of 18 cookies per batch including 70 cookies of Monday is 286.

A mathematical model or function is the model which is used to explain any system, the effect of the components by study and estimate the functions of systems.

The total number of cookies made by Tania on the Monday is 70 and want to make more than this on Tuesday.

The capacity of the pan is to cook 18 cookies per batch. The function she used to predict the number of cookies is,

y=70+18(x)

Here, x is the number of batches.

The cookies baked by her in 12 batches,

y=70+18(x)

y=70+18(12)

y=286.

Thus, the number of cookies baked by Tanya in 12 batches of 18 cookies per batch including 70 cookies of Monday is 286.

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Let's learn the relationship

So Area is directly proportional to length

The Garden B has largest area

But hang on this is incorrect it's rectangle other side might be too long .

We can calculate also

For garden A

Area

LB

For garden B

Area

Surprisingly assumption at first turned right

Garden A has highest area not Garden B

Answer:

Garden A

Step-by-step explanation:

Formula

(where w is the width and l is the length)

Given:

Using the formula for the perimeter to calculate the missing side length:

Perimeter = 2(w + l)

⇒ 120 = 2(25 + l)

⇒ 120 = 50 + 2l

⇒ 2l = 70

⇒ l = 35 ft

Therefore, the dimensions of Garden A are:

Area = w × l

⇒ Area of Garden A = 25 × 35

                                  = 875 ft²

Given:

Using the formula for the perimeter to calculate the missing side length:

Perimeter = 2(w + l)

⇒ 120 = 2(w + 50)

⇒ 120 = 2w + 100

⇒ 2w = 20

⇒ w = 10 ft

Therefore, the dimensions of Garden B are:

Area = w × l

⇒ Area of Garden B = 10 × 50

                                  = 500 ft²

As 875 > 500, Garden A has the largest area.

The number line with the number 4/3 graphed can be seen at the end of the answer.

A number line is something that we use to show the order of the numbers.

Here, we want to show the number 4/3.

Notice that we can write this as:

4/3 = 3/3 + 1/3 = 1 + 1/3

So we need to identify the 1 in the number line, and then move 1/3 to the right.  Below you can see a image where the number 4/3 is graphed on the shown number line.

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Answer: the chance that a given event will occur

Step-by-step explanation:

Answer: The answer would be A. A flower being pink and a flower being a rose are independent of each other.

Step-by-step explanation:took the test and it was correct on edmentun!!

Answer:

630 word

10.5 minute: 10×60+0.5×60=600+30=630 second

60 word 60second

? word 630 second

?=630

Step-by-step explanation:

630 words !?! Because 10.5×60=630

Answer:

q=-5

Step-by-step explanation:

8q+6=4q-14

Remove q from one side

8q+6=4q-14

-4q    -4q

4q+6=-14

Remove 6 from both sides

4q+6=-14

    -6   -6

4q=-20

Divide 4 to isolate q

4q/4=-20/4

q=-5

Answer:Around 14.7 minutes

Step-by-step explanation:

if q= the amount of time, and p=18 you do 12*18 is 216 and radical 216 is 14.6969, (nice). Please let me know if i am inncorrect i am not 100% sure.

Answer:

-1

Step-by-step explanation:

To solve the problem, it is suggested to use a number line.

~Please look at image attached

We know the following:

Statement: 5 units to the right of -6.

Therefore, we know the following:

Ending point: -6 + 5 = -1

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When a shape has 4 inside angles, the sum of the angles need to equal 360 degrees. This shape has 2 90 degree angles.

Angle DAB = 360 - 90-90 -155 = 25

Answer: 25 degrees,

Answer:

I got u, maybe.

In a triangle, all angles add up to 180, so it might be 180, you already got 155.

Step-by-step explanation:

Answer:

a) 3n+5

b) n+16

c) [tex]\frac{n-9}{2}[/tex]

d) [tex]\frac{x-u}{x+u}[/tex]

The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³

The volume of a cone can be represented as follows:

volume = 1 / 3 πr²h

where

Therefore,

r  = 3 1 / 2 cm = 7 / 2 cm

h = 24 cm

Hence,

volume = 1 / 3 × π  × (7 / 2 )² × 24

volume of a cone = 1 / 3 × π × 49 / 4 × 24

volume of the cone = 1 / 3 × π × 1176 / 4

volume of the cone =  1176 / 12 π

volume of the cone = 98π

volume of the cone =  307.72 cm³

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The tangent lines of the cubic function f(x) = x(x - 2)(x - 6) at the zeros 0, 2 and 6 are y = 12x, y = -8x + 16 and y = 24x - 144

The cubic function is given as:

f(x) = x(x - 2)(x - 6)

Expand

f(x) = x³ - 8x² + 12x

Differentiate the function

m = 3x² - 16x + 12

At the point x = 0, we have:

m = 3(0)² - 16(0) + 12

m = 12

Also, we have:

f(0) = 0

A linear equation is represented as:

y = m(x - x₁) + y₁

So, we have:

y = 12(x - 0) + 0

y = 12x

At the point x = 2, we have:

m = 3(2)² - 16(2) + 12

m = -8

Also, we have:

f(2) = 0

A linear equation is represented as:

y = m(x - x₁) + y₁

So, we have:

y = -8(x - 2) + 0

y = -8x + 16

At the point x = 6, we have:

m = 3(6)² - 16(6) + 12

m = 24

Also, we have:

f(6) = 0

A linear equation is represented as:

y = m(x - x₁) + y₁

So, we have:

y = 24(x - 6) + 0

y = 24x - 144

The above means that the tangent lines are:

y = 12x, y = -8x + 16 and y = 24x - 144

From the attached graph, we can see that the tangent lines at the zero values x = 0 and x = 2 intersect the graph of f(x) at the zero value x = 6

The equation is given as:

f(x) = (x - a)(x - b)(x - c)

To prove the statement using a computer algebra system, simply follow the next steps:

See attachment (2) for proof

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Hey ! there

Answer:

Step-by-step explanation:

The question says that two consecutive Integer have a sum of 195 . And we are asked to find the integers.

For finding integers we are assuming them . So ,

Solution : -

According to question ,

So ,

[tex] \dashrightarrow \qquad \: x + x + 1 = 195[/tex]

Step 1 : Adding like terms ( x and x ) on left side :

[tex] \dashrightarrow \qquad \: 2x + 1 = 195[/tex]

Step 2 : Subtracting 1 on both sides :

[tex] \dashrightarrow \qquad \: 2x + \cancel{1} - \cancel{1} = 195 - 1[/tex]

Simplifying it ,

[tex] \dashrightarrow \qquad \: 2x = 194[/tex]

Step 3 : Dividing with 2 on both sides :

[tex] \dashrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{ 2}} = \cancel{\dfrac{194}{2} }[/tex]

On further calculations , We get :

[tex] \dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{ x = 97}}}} \quad \: \bigstar[/tex]

We know that ,

✰ Therefore , first number is 97 .

✰ Therefore , second number is 98.

Verifying : -

Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,

Therefore , our solution is correct .

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

                Two consecutive integers have a sum of 195. Find the integers

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

The integers are 97 and 98.

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

                 If integers are [tex]\textbf{consecutive,}[/tex] they stand right next to each other.

Example:- 7 and 8. 7 and 8 are consecutive integers because they stand right next to each other.

Now, let the integer be n.

The integer next to n is 1 greater than n, or n+1.

So we set up the following equation:-

[tex]\bigstar{\fbox{n+n+1=195}[/tex]

[tex]\textsf{\underline}}[/tex]Add the n's:-

[tex]\Longrightarrow[/tex] [tex]\sf{2n+1=195}[/tex]

Subtract 1 on both sides:

[tex]\sf{2n=195-1}[/tex]

[tex]\sf{2n=194}[/tex]

Divide by 2 on both sides:-

[tex]\bigstar{\fbox{n=97}[/tex]

Now that we've found the first integer, finding the second integer is easy, because we can subtract the first integer from the sum of both integers:-

195-97=98

So the second integer is 98.

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