Which of the following statements is false?

The equation given is matched with the respective vertex forms.

The standard equation for a circle is given by

(x-h)² + (y-k)² = r²

The equation given in the question are

x² + y²  − 4x + 12y − 20 = 0

(x − 6)²  + (y − 4)²  = 56

x²  + y²  + 6x − 8y − 10 = 0

(x − 2)²  + (y + 6)²  = 60

3x²  + 3y²  + 12x + 18y − 15 = 0

(x + 2)²  + (y + 3)²  = 18

5x²  + 5y²  − 10x + 20y − 30 = 0

(x+3)²  + (y-4)²  = 35

2x²  + 2y²  − 24x − 16y − 8 = 0

(x-1)²  + (y+2)²   = 11

The first equation is

x² + y²  − 4x + 12y − 20 = 0

It can be written ad

x² -4x + 4 - 4 +y²+12y +36-36 -20 = 0

(x-2)² +(y+6)²= 60

The second equation is

x²  + y²  + 6x − 8y − 10 = 0

x² +6x +9-9 +y²  -8y +16-16 -10 = 0

(x+3)²  + (y-4)²  = 35

The third equation is

3x²  + 3y²  + 12x + 18y − 15 = 0

(x + 2)²  + (y + 3)²  = 18

The fourth equation is

5x²  + 5y²  − 10x + 20y − 30 = 0

(x-1)²  + (y+2)²   = 11

The fifth equation is

2x²  + 2y²  − 24x − 16y − 8 = 0

(x − 6)²  + (y − 4)²  = 56

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Answer: y = (x - 1) (7x + 5)

Step-by-step explanation:

y = 7x² - 2x - 5     Use the slip and slide method.

y = x² - 2x - 35    Factor

y = (x - 7) (x + 5)  Slide 7 back in, divide -7 by 7 to get -1. Slip 7 into (x + 5).

y = (x - 1) (7x + 5)

The factorized form of the quadratic equation is  y = (7x+5)(x - 1).

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

To factor the quadratic function, we need to find two binomials whose product is equal to the given quadratic. Here's one way to factor y = 7x² - 2x - 5:

First, we need to find two numbers whose product is 7(-5) = -35 and whose sum is -2. These numbers are -7 and 5, since (-7)(5) = -35 and (-7) + 5 = -2.

Next, we use these two numbers to split the middle term of the quadratic:

y = 7x² - 7x + 5x - 5

Notice that we have a common factor of 7x in the first two terms and a common factor of 5 in the last two terms. We can factor these out to get:

y = 7x(x - 1) + 5(x - 1)

Now, we have a common factor of (x - 1), which we can factor out to get the factored form:

y = (7x + 5)(x - 1)

Therefore, the correct answer is: y = (7x+5)(x - 1).

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The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is

[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]

The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-

[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is

[tex]tan\theta = tan\dfrac{\pi}{4}=1\ \ \ \ Cos \theta=Cos\dfrac{\pi}{4}=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta =Sin\dfrac{\pi}{4}= \dfrac{\sqrt{2}}{2}[/tex]

The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-

[tex]tan\theta=tan \dfrac{\pi}{6}= \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta =Sin\dfrac{\pi}{6}= \dfrac{1}{2} \ \ \ \ \ Cos \theta = Cos\dfrac{\pi}{6}= \dfrac{\sqrt{3}}{2}[/tex]

Therefore the trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is

[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]

The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-

[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]

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A fourth of a third of two fifths is a thirtieth.

(1 x 1 x 2) / (4 x 3 x 5) = 2 / 60 = 1 / 30

A thirtieth of a number () is fifteen, the number is four hundred and fifty.

= 15 / (1 / 30) = 15 x 30 = 450

forty percent of four hundred and fifty is one hundred and eighty.

(450 / 100) x 40 = 180

Answer:

The number is 450

Step-by-step explanation:

One fourth is 1/4,

One third is 1/3

and two fifths is 2/5

let the number be x.

So,

One fourth of one third of two fifths of x is 15.

that is,

1/4 * 1/3 * 2/5 * x = 15

2/4*3*5* x = 15

2/60 * x = 15

1/30 * x = 15

1 * x = 15*30

x = 450

Therefore the number is 450

The complete statements are; Triangle 1 is the image of triangle 2 reflected over the y-axis. Triangle 2 is the image of triangle 3 reflected over the x-axis. Reflecting triangle 4 over the y-axis results in triangle 3.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in the opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Triangle 1 is across from triangle 2. If we make the triangles bisect, they will touch the y-axis.

Triangle 2 is above triangle 3. If we make the triangles bisect, they will touch the x-axis.

we can translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate it to 90 degrees.

The complete statements are;

Triangle 1 is the image of triangle 2 reflected over the y-axis.

Triangle 2 is the image of triangle 3 reflected over the x-axis.

Reflecting triangle 4 over the y-axis results in triangle 3.

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The profit-maximizing price and resulting profits are $36 and $0 respectively.

The profit-maximizing price for the monopoly will be to produce at the quantity where marginal revenue is equal to marginal cost.

Therefore, suppose the average total cost is $36 when q = 24, the profit maximizing price is as follows:

when Q = 24 at average cost = $36,

Then,

profit-maximizing price = p = $36

Hence, the resulting profit is as follows;

resulting profit = 36 - 36 = $0

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Answer:

4 is my answer:))))) maybe this will help

Answer:

1

Step-by-step explanation:

it depends on how many choices there are

If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert

(1 * 1 * 1 = 1)

then there is 1 meal choice

If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.

(7 * 12 * 6 = 504)

then there are 504 different options

If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert

(5 * 12 * 3 = 180)

then there are 180 options

12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert

(12 * 10 * 6 = 3240)

then there are 3240 meal options

you have to multiply the number of entrées (e), meals (m), and desserts (d)

e * m * d = x

you are solving for x, which is the different meals available aka your answer.

so plug in the numbers and that should give you the answer!

hope this helps:)

The range of the function given the domain x > -2 is; Range; y < -8.

The range of a function is the set of all possible outcomes of the function. In this scenario, since the domain of the function is given as X > -2. It follows from the function that at all times, the range of the function is given by; y < -8 from; y < 5(-2) +2; y< -8.

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Answer:

[tex]\large \boxed{\sf 3x\sqrt[3]{y^5}}[/tex]

Explanation:

[tex]\rightarrow \dfrac{\sqrt[3]{\sf 189x^5y^7}}{\sqrt[3]{\sf 7x^2y^2}}[/tex]

[tex]\rightarrow \sf \sqrt[3]{\dfrac{\sf 189x^5y^7}{\sf 7x^2y^2}}[/tex]

[tex]\rightarrow \sqrt[3]{\sf 27x^3y^5}[/tex]

[tex]\rightarrow \sqrt[3]{\sf 27} \sqrt[3]{\sf {x^3} }\sqrt[3]{\sf y^5}}[/tex]

[tex]\rightarrow \sf 3x\sqrt[3]{y^5}[/tex]

Answer:

A. The volume is the product of the area of the base, 5x(x + 3), and

the height, 2x - 1.

Step-by-step explanation:

Volume is defined as the product of the Length, Width, and Height,

V = L*W*H

The Length x Width is the Area of the Base

L*W = Area Base)

Therefore:  

The (L*W) in the equation V = L*W*H can be replaced with [Area of the Base]

[Area of the Base]

[Area of the Base]  = (5x)*(x+3)          [(or 5x^2 + 15x)]

Volume = [Area of the Base]*H

Volume = [(5x)*(x+3)]*(2x-1)

     The volume is the product of the area of the base, 5x(x + 3), and

the height, 2x - 1.

  That looks a lot like the answer in A:  "The volume is the product of the area of the base, 5x(x + 3), and the height, 2x - 1."

Answer: 4 blue chips (brochure), 6 yellow chips (news article), and 10 red chips (computer presentation).

Step-by-step explanation: If you have 20 colored chips, then 20% of the people that chose the brochure will be 20% of 20 of the chips. That is 20 * 0.2 = 4. Now, to find how to model the people who chose the news article, it will be 30% of the 20 chips. That is 20 * 0.3 = 6. Thus, 6 chips can be modeled for the news articles. Lastly, we add 6 + 4 and that is 10. The rest is another ten out of the 20. Thus, we can use 10 red chips to model the computer presentation.

The teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

A division is a process of splitting a specific amount into equal parts.

To model this situation using colored chips, we can use the following approach:

Divide the total number of chips (20) into five equal parts, each representing 20% of the total number of students.

For the making a brochure option, use four blue chips to represent the 20% of students who choose this option.

For the writing a news article option, use six yellow chips to represent the 30% of students who choose this option.

For the designing a computer presentation option, use ten red chips to represent the remaining 50% of students who choose this option.

So, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

Hence,  the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

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Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)

Step-by-step explanation: See attachment

Answer:138,336

Step-by-step explanation:Because one mile=5280 so that takes out a and d but then just multiply 26.2 and 5280 equals 138,336 hope this helps

138,336 feet is equivalent to 26.2 miles.

Hence, Option C is correct.

Given that,

Length of standard marathon = 26.2 miles

We have to calculate the length of it into feet

Since we know that,

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Since we know that

1 miles = 5280

Now to find the length of standard marathon in feet,

Multiply 5280 with 26.2.

Hence the length of marathon in feet,

= 5280 x 26.2

= 138,336 feet.

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The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

As,  

Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

For 0.2 l = 0.88

For 1 l= 0.88/0.2

For 1 liter = 4.4

For 0.5l medium can = 1.32

For 1 l medium can= 1.32/0.5

For 1 l medium can = 2.4

Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.

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Answer:

  (b)  3 terms, degree 10

Step-by-step explanation:

When simplifying polynomials, the first thing you look at is the exponents of the variables in each term. (The terms are separated by + or - signs.) Only terms with the same set of exponents can be combined.

When considering the degree of the polynomial, you look at the sum of exponents of the variables in each term. That sum is the degree of the term. The degree of the polynomial is the highest of the degrees of the terms.

__

The four terms have variables s and t. If we write the exponents of those variables as an ordered pair, we will have one ordered pair for each term:

  5s⁶t²  ⇒  (exponent of s, exponent of t) ⇒ (6, 2); degree = 6+2 = 8

  6st⁹  ⇒  (1, 9); degree = 1+9 = 10

  -8s⁶t²  ⇒  (6, 2); degree 6+2 = 8 (this is a like term to the first term)

  -6t⁷  ⇒  (0, 7); degree 0+7 = 7

The degrees are 8, 10, 8, 7, so the highest degree is 10. This is the degree of the polynomial.

__

We can only combine the terms containing s⁶t². Doing that gives ...

  (5 -8)s⁶t² +6st⁹ -6t⁷ = -3s⁶t² +6st⁹ -6t⁷ . . . . . three terms

In "standard form", the terms are written in order of decreasing degree:

  6st⁹ -3s⁶t² -6t⁷ . . . . . . 3 terms, degree 10

Answer:

a) 19 cm

Step-by-step explanation:

Area of a parallelogram: b • h

Given values:

Substitute these values into the formula:

⇒ A = b • h

⇒ 228 = b • 12 [multiply]

⇒ 228 = 12b [divide both sides by 12]

⇒ 228 ÷ 12 = 12b ÷ 12

⇒ 19 = b

Therefore, the base of the parallelogram is 19 cm.

Answer: sqrt 3 / 2

Step-by-step explanation: cos20°sin80°-cos80°sin20° is about 0.66 and sqrt(3)/2 is about 0.66.

Please mark as brainliest if my answer was correct and/or helpful.

it is 3 numbers all together and they are 25, 36 and 49.

Answer:

96Km

Step-by-step explanation:

l wrote 90/60 because the speed is given in hours.

so I had to deal with hours only not hours and minutes.

that's why I wrote 90/60 .

you can also choose to divide.

I mean to change the minutes to hours so that the formula can work.

good day.

The incorrect rounding for 53.864 is 53.87

The decimal to be approximated is as follows;

53.864

The first option rounded the decimal to 2 significant figures or a whole number.

The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.

The third option is approximated rightly to one decimal place.

The last option is rounded to the closes tens term.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: E.\:\: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: F.\:\:\overline{CD}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

A line with two dots at ends (two ends) represents a line segment.

And it can be represented as :

[tex]\qquad \tt \rightarrow \: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: \overline{CD}[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

1/16 is the answers for the question

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer:

tan theta - cot theta

Step-by-step explanation:

sin/cos = tan

cos/sin = cot

Answer:

The tens in 1,567 is 60.

The tens in 145,577 is 70.

The hundreds in 146,888 is 800

Step-by-step explanation:

When looking for tens, you look for the value in the tens column.

For example, in 123, there is a 2 in the tens so it is 20.

Theta has a reference angle of 30° and is in Quadrant I or II.

Sin(theta) = ½

Basic angle: 30

The acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle sandwiched between the terminal side and the x-axis.

Angles: 30,

180-30 = 150

Because sin is positive in quadrants 1 and 2.

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Answer:

The Father is currently 47 and the Son is 7

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]

We also learn that (F+3) = 5(S+3)  [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F).  I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

Father is 47 and Son is 7

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5.  Yes, 9*5 = 45

In 3 years will he be 5 times older than his son?  Yes, Father would be 50 and son would be 10.  5*(10) = 50

Answer:

4

Step-by-step explanation:

Is that a log with the base of   3√(2)  ?

If so....my calculator says the answer is   4

Let's see if we can do it w/ou the calculator:

3 sqrt(2)^x = 324 =  3^4 * 2^2     Now 'LOG' both sides:

x log (3 sqrt 2)  =   log (3^4 *2^2)  =  4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)

                       now divide both sides by log (3 sqrt2 )

  x = 4        (If I did the math correctly ! )  

Answer:

2 pi : 1

Step-by-step explanation:

for every one unit of radius, there are two pi units in the circumference!