True or false: f(x) is a function.
A. False
B. True

Answer:

D

Step-by-step explanation:

We have the equation:

[tex]x^2+y^2+12x-10y-7=0[/tex]

And we would like to convert this to an equation for a circle.

This will require completing the square. Thus, let’s factor group our factors. We will also move the constant to the right. Therefore:

[tex](x^2+12x)+(y^2-10y)=7[/tex]

To complete the square, we divide the b term by 2, square it, and then add the resulting constant to both sides.

Therefore, for the first term, we will have 12/2. 12/2 is 6. 6 squared is 36.

Hence, we would add 36 to both sides.

For the second term, we have -10/2. -10/2 is 5. 5 squared is 25. Hence, we would add 25 to both sides.

This yields:

[tex](x^2+12x+36)+(y^2-10y+25)=7+36+25[/tex]

We can now factor the two terms using the perfect square trinomial pattern. We will also add on the right. Hence, our equation is:  

[tex](x+6)^2+(y-5)^2=68[/tex]

Therefore, our answer is D.

Answer:

y is the vertical, x is the horizontal

9514 1404 393

Answer:

  yes

Step-by-step explanation:

When distance and time are both zero at once, and speed is constant, then distance and time are proportional:

  distance = speed × time

The constant of proportionality is the (constant) speed.

Answer:

The answer is 12.5cm

Step-by-step explanation:

cos 52= 7.7/AC

AC= 7.7/ cos 52

AC= 12.5

Answer:

y= -1/3+2

Step-by-step explanation:

Answer:

X=140

Step-by-step explanation:

Firstly, any Quadrilateral has a total sum of its angle equal to 360 degrees

The attachment you are showing us shows that we already know two angles

(70)&(60) degrees. I am assuming the line DC is a tangent, so angle ADC must be 90 degrees since a full angle on a tangent is equal to 180 degrees and there is 90 from the other side (180-90=90). Now we know 3 angles and what you have to do is find X so that when you add them all up they make a sum of 360.

X+70+60+90=360

X=360-70-60-90

X=140

Answer:

the slope is -3

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

21 + 21 = 42

42 + 12 = 54

so 21 is your answer

Answer:

21.

Step-by-step explanation:

For questions like this, it's easiest to work your way backwards from the answer to get the original number.

In this case, you subtract 12 from 54, which gives you 42 (54-12=41)

Then, you divide by 2, the opposite of "doubling". 42 ÷ 2 = 21.

Since there are no other operations, your original number is 21.

To confirm, just go through the problem again starting with 21 and seeing if you get to 54.

21, doubled (42), add 12 = 54.

Answer:

16.25 books

Step-by-step explanation:

assuming there are 4 weeks in a month, divide 65 by 4.

Answer:

16  or 16.25

Step-by-step explanation:

You might have to round idek if you meant read or used so

Answer:

A

Step-by-step explanation:

MAGMA is below surface

LAVA is whats above surface

Answer:

It is, because it is clear and true. It also gets straight to the point.

Step-by-step explanation:

Given:

In figure, ΔDEF has two equal angles ∠E and ∠F.

[tex]DE=40,EF=6x+10,DF=8x-24[/tex]

To find:

The incorrect statement from the given options.

Solution:

In triangle DEF,

[tex]\angle E=\angle F[/tex]            (Given)

[tex]DF=DE[/tex]            (Base angles are equal, so it is an isosceles triangle)

[tex]8x-24=40[/tex]

[tex]8x=40+24[/tex]

[tex]8x=64[/tex]

Divide both sides by 8.

[tex]x=8[/tex]

Now,

[tex]DE=DF=40[/tex]        (Isosceles triangle)

[tex]EF=6x+10[/tex]

[tex]EF=6(8)+10[/tex]

[tex]EF=48+10[/tex]

[tex]EF=58[/tex]

Therefore, x=8, FE=58, DE =40 and DF = 40.

Hence, the incorrect statement is in option B. So, option B is correct.

An isosceles triangle has two equal opposites sides

The correct statements are

A. FE = 58

A. FE = 58C. x = 8

A. FE = 58C. x = 8D. DF = 40

incorrect statement is

B. DE = 58

Given:

Side DE = 40

Side FE = 6x + 10

Side DF = 8x - 24

Recall,

DF = DE

8x - 24 = 40

8x = 40 + 24

8x = 64

x = 64 / 8

x = 8

Therefore,

Side FE = 6x + 10

= 6(8) + 10

= 48 + 10

= 58

Side DF = 8x - 24

= 8(8) - 24

= 64 - 24

= 40

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I'm probably doing nothing...

I might visit my grandparents tho because they recently moved near by

thanks for the points

Answer:

I might go see my cousins in a different state and most likely play with the snow out there!!

Step-by-step explanation:

Answer:

This will be 12/20

Step-by-step explanation:

You take the number of favourable outcomes (12, as there are 12 boys) and take the number of total outcomes (20, as there are 20 people in total). Then you do the number of favourable outcomes over the number of total outcomes. This equals 12/20. I hope this helps

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

The fraction for boys out of 20 students is 3/5.

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

Example: 2/3, 5/7, 1/3

We have,

Total number of students = 20

Number of boys = 12

The fraction of the boys is:

= Number of boys / Total number of students

= 12 / 20

We can write along with its common factors.

= 2 x 6 / 2 x 10

Common values are canceled out from the numerator and the denominator.

= 6 / 10

We can write it as along with its common factor.

= 2 x 3 / 2 x 5

Common factors are canceled out from the numerator and the denominator.

= 3/ 5

Thus the fraction for boys out of 20 students is 3/5.

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Answer:

a

Step-by-step explanation:

The Correct Answer is; {C} 1

I took the test.

Multiply calories per nugget by number of nuggets and add to calories per waffle multiplied by number of waffles:

Total calories = 52c + 39w

Now replace the variables with the quantities and find total calories:

Total = 52(5) + 39(10)

Total = 260 + 390

Total = 650 calories

Answer:

The possible lengths of TR : TR = 17, 40, 42, 52,

Step-by-step explanation:

Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.

To find the possible lengths of the third side of a triangle:

c - a< b > a + c

a = WT = 25

c = WR= 40

b = TR = ??

40 - 25 < b < 40 + 25

15 < b < 65

The possible lengths of TR has to be greater than 15 and less than 65, Hence: TR = 17, 40, 42, 52,

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

            = 2×16

            = 32

11). By applying Pythagoras Theorem in ΔGFB,

     GB² = GF² + FB²

     (21)² = GF² + (19)²

     441 = GF² + 361

     GF² = 441 - 361

     GF = [tex]\sqrt{80}[/tex]

     GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

     GB² = DG² + BD²

     (21)² = (DG)² + (16)² [BD = DC = 16]

     DG² = 441 - 256

     DG = √185

     DG =  13.6

Answer:

54

Step-by-step explanation:

Mike saves $36 by buying the shirts at a discounted price.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

Given the offer,

By 1 at regular price ($45) and get 40% off on two shirt

40 % of 45 ⇒ 0.40 × 45 = $18

So shirt price = 45 - 18 = $27/each

Since 2 shirt buy at this price = 2 × 27 = $54

Money saved = 2×45 - 54 = $36

Hence "Mike saves $36 by buying the shirts at a discounted price".

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Given question is incomplete complete question is ;

Answer:

y = - 0.8

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when y = - 4, x = 10, then

- 4 = 10k ( divide both sides by 10 )

- 0.4 = k

y = - 0.4x ← equation of variation

When x = 2 , then

y = - 0.4 × 2 = - 0.8

Answer:

f(8)= 113

Step-by-step explanation:

f(8)= 2(8)^2-3(8)+9

f(8)= 2(64)-3(8)+9

f(8)= 128-24+9

f(8)= 113

(USE PEMDAS)

Answer:

M represents the slope

Answer:

The number being multiplied by x or the slope

Step-by-step explanation:

Answer:

y = 16.9x

where y is the ounces of water

and x is the number of bottles

Step-by-step explanation:

Here, we want to find the relationship between ounces of water y and number of bottles x

From the question, we can find the amount of liquid in each bottle

Mathematically, that will be 405.6/24 = 16.9 ounces

There is 16.9 ounces of water per bottle

So the relationship we want to write is that;

y = 16.9x

Answer:  X=-4

Step-by-step explanation:

Answer:

So he could become a travel burro.

Step-by-step explanation:

The solution to some of the algebraic expressions in the excerpt titled "Why did the donkey get a passport?" is 8x² - 3x + 17 and 2x² + 9x + 3

Why did the donkey get a passport is a title for a series of algebraic expressions that need to be solved.

An algebraic expression is a mathematical expression that comprises integers, variables, and arithmetic operations.

In the title "Why did the donkey get a passport?", we have some of the following questions:

Simplifying the algebraic expressions, we have:

1.

8x² + 2x - 5x + 17

8x² - 3x + 17

2.

4 - 3x² - 9x - 7 + x²

By rearrangement

x² - 3x² - 9x -7 + 4

-2x² - 9x - 3

Multiply through by (-)

2x² + 9x + 3

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Answer:

9 weeks

Step-by-step explanation:

Answer:

fifteen, "number sentence"

Step-by-step explanation:

5 + 5 +5 = 15