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For the function y = x2 + x + 2, which statements are true? Select all that apply.
A. The equation written in vertex form is y = (x+12)2.
B. The equation written in vertex form is y = (x+12)2+74.
C. The graph of the function opens upward, so it has a minimum of y = 74, at x = −12.
D. The graph of the function opens downward, so it has a maximum of y = 74, at x = −12.

Answer:

AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.

The hypotenuse is the longest side of the triangle. Side AC of the triangle is its hypotenuse, thus greater than BC (segment and angle theorem of a triangle).

A triangle is a shape with three side and angles. Its longest side is referred to as hypotenuse. And this side is usually opposite to the greatest angle. Examples of triangle include: equilateral, isosceles, acute, right angles, obtuse angle etc.

The given question shows that triangle ACB is a right angled triangle. This is because <CBY = [tex]90^{o}[/tex].

So that;

<CBY + <CBA = [tex]180^{o}[/tex]

Now comparing side AC with BC:

The segment and angle theorem of a triangle states that: the longest side of a triangle is always opposite to the greatest angle.

Thus, since <CBA is the greatest of the angles here, then AC is the longest side.

Therefore, the side AC is the hypotenuse of the triangle and it is greater than BC.

A sketch to this question is attached to this answer for more clarifications.

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Answer:

B

Step-by-step explanation:

The average rate of change is synonymous with the slope.

So, essentially, we want to find the average slope of our function f(x) from x=0 to x=10.

So, we will use the two following points: (0,5) and (10, -20).

Recall the slope formula:

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

Let (0, 5) be (x₁, y₁) and (10, -20) be (x₂, y₂). Substitute. This yields:

[tex]m=\frac{-20-5}{10-0}[/tex]

Subtract and reduce:

[tex]m=-25/10=-5/2[/tex]

So, the average slope of f(x) between x=0 and x=10 is -5/2.

Our answer is B.

And we're done!

Answer:

B

Step-by-step explanation:

Answer:

c=4x

c-4(16)

c=64

Step-by-step explanation:

Answer:

65D

Step-by-step explanation:

Answer:

30, 85, 85

Step-by-step explanation:

(first, look at the photo)

3x - 5 = x + 55

3x - x = 55 + 5

2x = 60

x = 30

1) x = 30

2.angle = 3x-5

3.30 - 5 = 90 -5 = 85

3.angle= x + 55

30 + 55 = 85

hope this helps ^-^

Answer:

7/12

Step-by-step explanation:

divide the numerator and denominator by 3: 21 ÷ 3 and 36 ÷ 3

this gives you 7/12

Answer:

$548.08/week

Step-by-step explanation:

Divide 28,500 by weekly amount, 1 year= 52 weeks 28,500/52=548.08

Answer:

about $548.08 a week

Step-by-step explanation:

Answer:

13 is the answer for this

Step-by-step explanation:

23+-10 equals 13

Answer:

44%

Step-by-step explanation:

The  percent increase would be calculated as the increase in insects caught divided by the original number of insects caught from the first week:

13-9 = 4 more insects caught.

4/9 = .44444

When doing percentages we multiply the decimal by 100, or move it over two places to the right, so it will be 44.4%

Numbers 4 and under round down.

Therefore,

44% is the increase

Answer:

Yes

Yes

No

Explanation:

It is important to use your own personal computer when banking online. Using public computers put your information at risk. For example, your browser history can be easily retrieved by others when using public computers, so this allows them to access your bank account information or your password.

Financial institutions use "encryption" technology in order to ensure that a person's information will remain confidential. This technology prevents your information from being deciphered.

You can pay bills with online banking and this is very common nowadays. People usually pay their electricity bill, internet bill and online purchases through online banking.

Answer:

#2 is 135 and #1 is 45

Answer:

If your looking for X then it is : x = 23/10

Step-by-step explanation:

Answer:

x=23/10 y=-1/5

Step-by-step explanation:

Answer:

phle follow karo yrr tab hee bat u ga,

Answer: 14 oz

Step-by-step explanation:

CH/CR 3:2

3x/3=21/3

x=7

2*7=14 oz.

If you use 21 oz of chocolate, 14 oz cream cheese is needed.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same sort and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

You can compare any two amounts that have the same units.

Given:

ratio of chocolate and cream cheese = 3:2

let the common ratio be x

Chocolate= 3x and Cream cheese = 2x

So,  21 oz of chocolate used

3x=21

x- 21/3

x=7

then, the cream cheese used

= 2 x 7

=14 oz.

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Answer:

B all square are regular polygons

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 6, - 2)

m = [tex]\frac{-2+4}{-6+3}[/tex] = [tex]\frac{2}{-3}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

slope= 2/-3

Step-by-step explanation:

Equation of the line: y=2/-3x-6

the slope being 2/-3

the y-intercept being -6

putting the slope as -0.66667 will still get you the same line going.

Hope this helps! :)

Answer:

I think

Step-by-step explanation:

you get a book get a ruler make a

right a ruler i rdk im sorry bro

Answer:

[tex]\huge{\boxed{\sf{ ( 3 , 3 ) }}}[/tex]

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) [tex]\longrightarrow[/tex] ( x1 , y1 )

B ( x , y ) [tex]\longrightarrow[/tex] ( x2 , y2 )

Now,

Midpoint = [tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

⇒[tex]( -2 , 2 ) = ( \frac{-7 + x}{2} , \frac{1 + y}{2} )[/tex]

Finding the value of x :                    

⇒[tex]-2 = \frac{-7 + x}{2}[/tex]

Do cross multiplication                

⇒[tex]-4 = -7 + x[/tex]

⇒[tex]-7 + x = -4[/tex]

⇒[tex]x = -4 + 7[/tex]

⇒[tex]x = 3[/tex]

Now, finding the value of y

⇒[tex]2 = \frac{1+y}{2}[/tex]

Do cross multiplication

⇒[tex]4 = 1+y[/tex]

⇒[tex]1+y = 4[/tex]

⇒[tex]y = 4 - 1[/tex]

⇒[tex]y = 3[/tex]

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~[tex]\text{ TheAnimeGirl}[/tex]

6.38 * 10^3 = 6380 kilometers.

Hope this helped!

Answer:

6380km

Step-by-step explanation:

10³ is just 1000 if you think about it.

6.38 multiplied by 1000 would just mean you need to move the decimal to the right 3 times.

Also if you look up the earth's radius on wikipedia, it says 6,371km which is close to 6,380km.

Answer:

11

Step-by-step explanation:

When you have a positive number minus a negative number it will automatically turn into addition.

EX.

7-(-4) turns into 7+4

Answer:A

Step-by-step explanation:

Answer:

It's C Order doesn't matter - choose which one you want to do first.          Don't worry I took the test

Step-by-step explanation:

Answer:

A. 10 cm

Step-by-step explanation:

Answer:

40+3.8=43.8

Step-by-step explanation:

give me brainiest

Answer:

+ 40

+ 3

+ 0.8

Step-by-step explanation:

Hope this helps

Answer:

She earned 1,076 dollars and 25 cents.

Step-by-step explanation:

x =  7.25 * 4,500 / 100

x = 7.25 * 45

x = 326.25

So commission earned is 326.25 $

We need to add this to her base salary for the week, so:

750 + 326.25 = 1, 076.25

Therefore she earned 1,076 dollars and 25 cents.

Hopes this helps ;p

Answer: 8 percent

Step-by-step explanation:

120,000 - 110,400 = 9,600

9,600/120,000 = 0.08

0.08 * 100 = 8 percent

Answer:

D:8%

Step-by-step explanation:

If your starting value is $120,000 then it is marked down to $110,400 then the difference between the two is $9,600. Taking this value and dividing it by the starting value gives you the percentage. The number your calculator spits out is 0.08, so reading as a decimal, it is an 8% markdown.

Answer:

6 ft by 3 ft

Step-by-step explanation:

Answer:

C: protons and electrons are found in the nucleus.

Step-by-step explanation:

Ok! So all atoms are composed of three basic things, protons, neutrons, and electrons. There are two parts of an atom, the nucleus and the electron cloud that surrounds the nucleus. In the nucleus are the protons and neutrons, and in the electron cloud are the electrons. Therefore, the answer would be C: protons and electrons are found in the nucleus.

Protons and electrons are found in the nucleus. The correct option is C.

A subatomic particle with a negative charge is an electron. A subatomic particle having a positive charge is called a proton. Protons are bound together in an atom's nucleus as a result of the strong nuclear force. A type of subatomic particle without charge is the neutron (they are neutral).

All atoms are composed of three basic things, protons, neutrons, and electrons. There are two parts of an atom, the nucleus and the electron cloud that surrounds the nucleus. In the nucleus are the protons and neutrons, and in the electron cloud are the electrons.

Therefore, the answer would be C: protons and electrons are found in the nucleus.

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Answer:

I don't know what the 94 has to do with this but...

7y=14

14/7

=2

y=2

7(2)=14

Step-by-step explanation:

y=2