What are the x-intercepts of the graph of y= x^2 + 7x + 12?
O A. (4,0) and (3,0)
O B. (-4,0) and (-3,0)
O C. (-7,0) and (-12, 0)
O D. (7,0) and (12, 0)​

Answer:

1. (A) Greece has the longest coastline in Europe and is the southernmost country in Europe. The mainland has rugged mountains, forests, and lakes, but the country is well known for the thousands of islands dotting the blue Aegean Sea to the east, the Mediterranean Sea to the south, and the Ionian Sea to the west.

1. (B) Rome was built on a defensible hill that dominated the last downstream, high-banked river crossing where traverse of the Tiber was facilitated by a midstream island. This hill, Palatine Hill, was one of a group of hills, traditionally counted as seven, around which the ancient city grew.

1. (C) The fertile soil of the Po and Tiber River Valleys allowed Romans to grow a diverse selection of crops, such as olives and grains. Greece's steep mountains and surrounding seas forced Greeks to settle in isolated communities. Travel by land was hard, and sea voyages were hazardous. Most ancient Greeks farmed, but good land and water were scarce. They grew grapes and olives and raised sheep, goats, pigs, and chickens.

2. (A) Monotheism:
So mono means like one, so monotheism means that you only believe in one god.  (The three religions of Judaism, Christianity, and Islam readily fit the definition of monotheism)

Polytheism:
So poly means more than one, so polytheism is the opposite of monotheism (more than one god) (for example, Hinduism, Shintoism, Thelema, Wicca, druidism, Taoism, Asatru, and Candomble).

2. (B) Jewish people believe there's only one God who has established a covenant—or special agreement—with them. Their God communicates to believers through prophets and rewards good deeds while also punishing evil. Most Jews (with the exception of a few groups) believe that their Messiah hasn't yet come—but will one day.
2. (C) Christians believe there's only one God, and he created the heavens and the earth. This divine Godhead consists of three parts: the Father (God himself), the Son (Jesus Christ), and the Holy Spirit.

2. (D) So I was not sure about the Greek, so I only did the Roman part, hope that's alright. As different cultures settled in what would later become Italy, each brought its own gods and forms of worship. This made the religion of ancient Rome polytheistic, in that they worshipped many gods. They also worshipped spirits. Rivers, trees, fields, and buildings each had their own spirit or numen. (I think)

3. (A) The Greeks made important contributions to philosophy, mathematics, astronomy, and medicine. Literature and theatre was important aspect of Greek culture and influenced modern drama. The Greeks were known for their sophisticated sculpture and architecture.

3. (B) The legacy of Ancient Rome is still felt today in Western culture in areas such as government, law, language, architecture, engineering, and religion.

(Not too sure about this one) Roman models of colonialism and of warfare also became influential.

It was due to their exceptional concrete that they were able to produce their sturdy aqueducts and bridges as well as other structures.

3. (C) The Greeks made important contributions to philosophy, mathematics, astronomy, and medicine.

3. (D) A people known for their military, political, and social institutions, the ancient Romans conquered vast amounts of land in Europe and northern Africa, built roads and aqueducts, and spread Latin, their language, far and wide.

3. (E) Though it has been thousands of years since the Roman Empire flourished, we can still see evidence of it in our art, architecture, technology, literature, language, and law.

3. (F) The Greeks pretty much invented modern mathematics, sculpture, philosophy, science, and even medicine.

Hope this helps!

Answer:1. (A) Greece has the longest coastline in Europe and is the southernmost country in Europe. The mainland has rugged mountains, forests, and lakes, but the country is well known for the thousands of islands dotting the blue Aegean Sea to the east, the Mediterranean Sea to the south, and the Ionian Sea to the west.

Step-by-step explanation:

Answer:

a) If the radius of a circle is increased 2 times, the length of the circle (circumference) will increase by a factor of 2π or approximately 6.28 times. This is because the formula for the circumference of a circle is C = 2πr, where r is the radius. If the radius is doubled, then the circumference will also be doubled.

b) If the radius of a circle is decreased 3 times, the length of the circle (circumference) will decrease by a factor of 6π or approximately 18.85 times. This is because the formula for the circumference of a circle is C = 2πr, where r is the radius. If the radius is divided by 3, then the circumference will also be divided by 3 and multiplied by 2π.

c) If the diameter of a circle is increased 6 times, the length of the circle (circumference) will increase by a factor of 6π or approximately 18.85 times. This is because the formula for the circumference of a circle is C = πd, where d is the diameter. If the diameter is multiplied by 6, then the circumference will also be multiplied by 6π

Step-by-step explanation:

pls Mark me As a brainlist

a) length of the circle increased by 2 times.

b) length of the circle decreased by 3 times.

c) length of the circle increased by 6 times.

Length of a circle that is the circumference of the circle is given by the formula = 2πr ( let's say C)

a) Given that the radius of the circle is increased by two times.

R = 2r

Required length of the circle = 2πR = 2π(2r) = 2×2πr = 2C

Hence, the length of the circle will be increased by 2 times.

b) Given that the radius is decreased by 3 times.

R= r/3

Required length of the circle =  2πR = 2π(r/3) = (2πr)/3 = C/3

Hence, the length of circle will be decreased by 3 times.

c) Given that the diameter of the circle is increased by 6 times.

D = 6d = 6×2r = 12r

Required length of the circle = πD= π×12r = 6(2πr) = 6C

Hence, the required length of circle will be increased by 6 times.

To learn more about the length of a circle :

https://brainly.com/question/1577784?referrer=searchResults

Answer: C

Step-by-step explanation: Angles in a triangle add up to 180 degrees 180 divided by 3 = 60

Option C: Triangle

Above image shows a marked angle that measures 60°.

Option A: Pentagon

A regular Pentagon has all five sides equal and all five angles equal.

The measure of each interior angle is given by the formula = [(n-2) × 180°]/n = 540°/5 = 108°.

Option B: Square

A square has all four sides and all four angles equal, with all its adjacent sides being perpendicular, thus each angle of square measures 90°.

Option C: Triangle

The given figure is an equilateral triangle which is having all its three sides equal and all the angles equal. Thus, each angle measures 60°. So, the correct option for the given question is C that is Triangle.

To learn more about Triangle:

https://brainly.com/question/2773823?referrer=searchResults

Answer: 420

Step-by-step explanation:

Answer: C

Step-by-step explanation:  because you it has the greatest with an ration is 4 by 8

The second one because it is correct i just need to use up space her so ya bye

Answer:

As in the picture

Step-by-step explanation:

Have some close look on subtraction inside the small bracket!

Answer is 25 degrees.

Answer:

k=12

Step-by-step explanation:

Top left angle is 84 degrees also, due to alternate interior angles cut by the transveral.

2 sides are congruent, leaving bottom left corner angle also 84 degrees.

Write an equation to solve for k:

84+84+k=180

simplify

168+k=180

subtract 168 from both sides

k=12

Hope this helps! :)

Answer:

all of the abpve

Step-by-step explanation:

Answer:

the answer would be b.

The daily recommended intake of sodium for a 2,000 calorie diet is 2000 calorie diet is 2500 mg.

Healthy diet:

A healthy diet helps protect against malnutrition in all its forms and is a foundation for health and development. It also helps to prevent noncommunicable diseases including diabetes, cardiovascular diseases, some cancers and other conditions linked to obesity.

In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

\(\text{Total sodium = 1310 + 350 = 1660}\)

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:

\(\frac{1660}{x} \frac{mg}{mg} = \frac{66.4}{100} \\\\66.4*x = 1660*100\\x=\frac{166000}{66.4} = \bold{2500\text{ mg}}\)

Hence, the daily recommended intake of sodium for a 2,000 calorie diet is 2000 calorie diet is 2500 mg.

Learn more about diet here: https://brainly.com/question/30532118

#SPJ3

Answer:

A/2 - L = W

Step-by-step explanation:

Step 1: Write equation

A = 2(L + W)

Step 2: Solve for W

Answer:

The answer would most-definitely be C.

Hope this helped!! Brainliest?

Step-by-step explanation:

Answer:

i think c

Step-by-step explanation:

sorry if im wrong

Answer:

1 3/7*2 3/4=10.67857143 or 55/14 which equals 3 13/14

Step-by-step explanation:

mr clean

Answer:

1. 55%

2.7.5 %

3. 09%

4. 25.5 %

5. 1.33%

B

1 2.0

2. 7.5

3 1.2

4. 12

5. 6.5

Answer:

Step-by-step explanation:

wouldn't you do 29 x 19=551+0.05=551.05

Answer:

The number of monthly calls for which Plan 1 is more economical than Plan 2 is 200 calls If more than 200 calls are made, the plan 1 charge will be more than plan 2. Let the number of charges per month be x  If plan 2 charges ​$16 per month plus ​$0.04 per call, this is expressed as 0.04x + 16  Price that pan 1 charges = $24  If Plan 1 is more economical than Plan 2, this is expressed as:0.04x + 16 > 24 Subtract 16 from both sides:0.04x + 16 - 16 > 24 - 16   0.04x > 8 x = 6/0.04 x = 200 This shows that if more than 200 calls are made, the plan 1 charge will be more than plan 2.

Answer:

okay

Step-by-step explanation:

thanks for the points btw it's unedentified

Answer: The sun

Step-by-step explanation:

0/0=yellow

so you divide pi and add the area of green so thanks

Answer: 76m

Step-by-step explanation:

First, start by splitting the figure into 2 smaller rectangular prisms; this can be done vertically or horizontally. I'll solve both ways so you can understand better.

Method 1: Splitting the figure into 2 rectangles vertically

The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the width (2m) by the length (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 5m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 5m (the height), and the answer is 40m.

Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 4m and you can figure out the width by subtracting 5m - 2m which gives you 3m. Now you know your base which is 4m. To solve for the height you must again subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 4 X 3 X 3. The volume of rectangular prism 2 should come out to be 36m.

The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 40m + 36m = 76m.

Method 2: Splitting the figure into 2 rectangles horizontally

The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the length (2m) by the width (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 2m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 2m (the height), and the answer is 16m.

Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 5m and the given width is 4m. Now you know your base which is 4m. To solve for the height you must subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 5 X 4 X 3. The volume of rectangular prism 2 should come out to be 60m.

The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 16m + 60m = 76m.

Hope this helps!

Step-by-step explanation:

4•10/11 +7•9/11

=54/11+86/11

=140/11

=12•8/11

Answer:

\(12\frac{8}{11}\)

Step-by-step explanation:

\(4\frac{10}{11} +7\frac{9}{11}\)

→ Add the whole numbers and numerators

\(11\frac{19}{11}\)

→ Turn into proper mixed fraction

\(12\frac{8}{11}\)

Answer:

Step-by-step explanation:

6.40 im not sure but i think

Answer:

-4.5k+3

Step-by-step explanation:

You use distributive property

1.5*-3k= -4.5

1.5*2= 3

Answer:

5463

Simplify ————

20

Equation at the end of step 1 :

5 5463

k - ((— • (f - 32)) + ————) = 0

9 20

Step 2 :

5

Simplify —

9

Equation at the end of step 2 :

5 5463

k - ((— • (f - 32)) + ————) = 0

9 20

Step 3 :

Equation at the end of step 3 :

5 • (f - 32) 5463

k - (———————————— + ————) = 0

9 20

Step 4 :

Calculating the Least Common Multiple :

4.1 Find the Least Common Multiple

The left denominator is : 9

The right denominator is : 20

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

3 2 0 2

2 0 2 2

5 0 1 1

Product of all

Prime Factors 9 20 180

Least Common Multiple:

180

Calculating Multipliers :

4.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 20

Right_M = L.C.M / R_Deno = 9

Making Equivalent Fractions :

4.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 5 • (f-32) • 20

—————————————————— = ———————————————

L.C.M 180

R. Mult. • R. Num. 5463 • 9

—————————————————— = ————————

L.C.M 180

Adding fractions that have a common denominator :

4.4 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 • (f-32) • 20 + 5463 • 9 100f + 45967

—————————————————————————— = ————————————

180 180

Equation at the end of step 4 :

(100f + 45967)

k - —————————————— = 0

180

Step 5 :

Rewriting the whole as an Equivalent Fraction :

5.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 180 as the denominator :

k k • 180

k = — = ———————

1 180

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

k • 180 - ((100f+45967)) 180k - 100f - 45967

———————————————————————— = ———————————————————

180 180

Equation at the end of step 5 :

180k - 100f - 45967

——————————————————— = 0

180

Step 6 :

When a fraction equals zero :

6.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

180k-100f-45967

——————————————— • 180 = 0 • 180

180

Now, on the left hand side, the 180 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

180k-100f-45967 = 0

Equation of a Straight Line

6.2 Solve 180k-100f-45967 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 180k-100f-45967 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when k = 0 the value of f is 45967/-100 so this line "cuts" the f axis at f=-459.67000

f-intercept = 45967/-100 = -459.67000

Calculate the X-Intercept :

When f = 0 the value of k is 45967/180 Our line therefore "cuts" the k axis at k=255.37222

k-intercept = 45967/180 = 255.37222

Calculate the Slope :

Slope is defined as the change in f divided by the change in k. We note that for k=0, the value of f is -459.670 and for k=2.000, the value of f is -456.070. So, for a change of 2.000 in k (The change in k is sometimes referred to as "RUN") we get a change of -456.070 - (-459.670) = 3.600 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.600/2.000 = 1.800

Geometric figure: Straight Line

Slope = 3.600/2.000 = 1.800

k-intercept = 45967/180 = 255.37222

f-intercept = 45967/-100 = -459.67000

Step-by-step explanation:

hope this helps

Answer:

Mean = 33.7

Median = 34.5

Mode = 34

Range = 33

After adding 26....

mean decreases by 0.7

median decreases by 0.5

mode is 34

range is 33

Step-by-step explanation:

mean = sum of all the data values/number of data values

= (18 + 19 + 20  + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7

To find median arrange the values in increasing order, find the mid value

If the number of data points is even, find the average of the mid 2 data values

Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51

Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5

The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once

Mode = 34

The range is highest - lowest = 51 - 18 = 33

After we add 26, we get the following data set arranged

18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51

we can calculate the stats using the same technique as above

We get the following values

mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33  

median = 34

mode = 34

range = 51-18 = 33

To find the decrease in mean and median subtract from the first set of values

Answer:

A. 6, 7, 8, 9 ;

B. 2, 5, 8, 11 ;

C. 5, 8, 13, 20 ;

D. 3, 12, 27, 48;

74 meters

Step-by-step explanation:

The difference in Emile and Henry's speed is 1.5, and the lead for Henry is 45 meters, so 45÷1.5= 30 seconds which means Henry will go another 30 meters at 1 meter per second.

2. To make it a close race we want Henry to go a longer distance than Emile, so make it 74 meters, which means Emile will go only have 45+29 = 74 seconds to get to 74 meters, but Henry only have 29 seconds in total = 29*2.5 = 72.5 meters.