In figures, ____ matching marks show that line segments have the same length. (Fill in the blank)

The equation of the ellipse, circle, and parabola will be written as (x + 9)² / 4 + (y - 1)² / 16 = 1, (x + 4)² + (y - 3)² = 40, and y = - (x + 3)²/ 4 + 1, respectively.

Equation A is transformed as,

16x² + 4y² + 96x - 8y + 84 = 0

16(x² + 6x + 9 - 9) + 4(y² - y + 1 - 1) + 84 = 0

16(x + 9) - 144 + 4(y - 1)² - 4 + 84 = 0

16(x + 9)² + 4(y - 1)² = 64

(x + 9)² / 4 + (y - 1)² / 16 = 1

This is the equation of the ellipse.

Equation B is transformed as,

x² + y² + 8x - 6y - 15 = 0

x² + 8x + 16 + y² - 6y + 9 - 15 = 16 + 9

(x + 4)² + (y - 3)² = 40

This is the equation of the circle.

Equation C is transformed as,

x² + 6x + 4y + 5 = 0

x² + 6x + 9 - 9 + 4y + 5 = 0

y = - (x + 3)²/ 4 + 1

This is the equation of the parabola.

The graph of the function is given below.

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Answer: Yes

Step-by-step explanation:

A repeating decimal can be a rational number.

Rational

Rational and irrational numbers are 2 of the broadest categories within real numbers.

Writing the Number as a Fraction

Rational numbers are defined as numbers that can be written as simple fractions. Simple fractions have integers for the numerator and denominator. This means neither the numerator nor denominator is a fraction or decimal. The number above is 0.25 repeated. When 2 digits are repeated you can place that number over 99 to create an equivalent fraction.

Since this number can be written as a fraction, it must be a rational number.

Bar Notation

Additionally, repeated decimals are always rational. In the example above, the digits .25 are repeated. If you don't want to write it as a fraction, you can use bar notation. Bar notation helps to shorten repeated decimals and show that they are rational. In this notation, you place a bar over the digits that are repeated.

204

You get 204 because first you divided 85 and 5 which equals 17.

Then you multiply 12 and 17 which equals 204.

I hope that this helps! :)

Answer:

204 miles

Step-by-step explanation:

So first we have to divide 85 by 5 which we get 17 then we multiply 17 by 12 which is 204. I hope this help but sorry I'm not that good at explaining thing

Answer:

1. 12

2. 36

Step-by-step explanation:

3 * 2 / 3

multiply & divide by 2

= 3 * 2 * 2 / ( 3 * 2)

= 12 / 6

12 (twelve) sixths

Study

Answer:

36 tenths

Explanation:

Well the first part to working this out is understanding that there are 10 tenths in a whole. So 3 wholes is 30 tenths.

The second part is 3 over 5 or 3/5. To write this in tenths you have to effectively double it (if you double the denominator you must double the numerator) What ever you do to the top you must do to the bottom and vice versa. So that 3 over five becomes six over ten. Add them together now you can add these fractions because they are over the same denominator (their bottom number is the same)

30 tenths plus 6 tenths equals 36 tenths.

Answer:

Is there any picture to go with it perhaps?

Step-by-step explanation:

The correct answer is [a]. As value of the x increases the value

According to this function, the value of f(x) grows closer to a constant as the value of x rises.

A relationship between a group of the inputs and one output each is referred to as a function.

The function specified is;

[tex]f(x)= (\frac{1}{5})^{x}-2[/tex]

According to this function, value of f(x) travels in the direction of a constant as the value of x rises.

(-2,00) is function's domain.

The y-intercept of function is at (0,-2).

The performance is the deteriorating.

As a result, statement that this function advances toward a constant value as x rises is accurate.

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Transformation of y= b*x into y = 5x + 3 will take place by vertical dilation by a scale factor of  5 and vertical translation of 3 units.

A parent function is the simplest form of a particular family of functions. A family of operations is a group of tasks with the same highest degree and therefore the same graph shape.

Function transformations "move" "resize" or "mirror" the graph of the parent function.

Mathematically speaking, the transformation of the function y = f(x) is usually y = a f(b(x + c)) + d. where a, b, c, and d are arbitrary real numbers representing transformations. Note that all outer numbers (outside the brackets) represent vertical translations, and all inner numbers represent horizontal translations. Addition and subtraction are translations, and multiplication and division are dilations. Every time a minus sign is multiplied it means  it is a reflection here,  'a' stands for vertical stretch, 'b' stands for horizontal stretch, 'c' stands for horizontal movement, 'd' stands for vertical movement

We have given two functions y=b x  and y = 5x + 3 which means that first, y  changes into 5x  i.e., vertical dilation by a scale factor of 5 and it changes to y = 5x + 3 i.e.., vertical translation of 3 units.

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Answer: you take 4.50 multiply it by 4 for the chaperons and the teacher then multiply 4.50 by how many students there are then add those two together and there is your answer

Step-by-step explanation:

Answer:

answers are given below

Step-by-step explanation:

Stem      Leaf

4             46688

5             2357789

6             5688

7              4689

To score an A, the score on the third test should be 79.

To lose your B grade, you have to score less than 49 on the third test.

The average of a set of numbers is the sum of the numbers divided by the total numbers.

Average = sum of scores / total numbers

90 = (86 + 85 + x) / 3

90 = (191 + x ) / 3

Where x is the score on the third test

In order to determine the value of x, take the following steps:

Multiply both sides of the above equation by 3

90 x 3 = 191 + x

270 = 191 + x

Subtract both sides of the equation by 191

270 - 191 = x

x = 79

The equation that represents the score that would make you lose the B grade is:

80 = (86 + 85 + x) / 3

80 = (191 + x) / 3

In order to determine the value of x, take the following steps:

Multiply both sides of the equation by 3

80 x 3 = (191 + x)

240 = 191 + x

Subtract 191 from both sides of the equation:

x = 240 - 191

x = 49

To lose your B grade, you have to score less than 49 on the third test.

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answer:

-30

explanation:

-5/2=-2.5

-2.5*12=-30

Answer:

A=2

B=-1

Step-by-step explanation:

a=(23−25)⋅ (4−5)=2

b=(97−123)/(18+8)=−1

Answer:

21/12

Step-by-step explanation:

1 3/4 in improper form is 7/4

7 is not 9 more than 4 so its another equivalent

7/4 × 2/2 = 14/8

That isn't 9 more than the denominator either

7/4 × 3/3 = 21/12

21 - 12 = 9 so 21 is greater than 12 by 9.

Answer: A

explain: because 17 = 35

Answer: I hope this is what your looking for....

12-86+2^2 = 0

w=6

w=2

Step-by-step explanation:

Answer: w = 6,2

Step-by-step explanation:

Answer:   The three angle bisectors of a triangle intersect at a single point. The point of concurrency of the angle bisectors is called the incenter. The three altitudes of a triangle are concurrent.

Step-by-step explanation:

Step-by-step explanation:

[tex]7x < 67 - 32 \\ 7x < 35 \\ \frac{7x}{7} < \frac{35}{7} \\ x < 5[/tex]

Answer:

x= -5

Step-by-step explanation:

(3x-4) (x+5).=0

=3x-4x+5=0.

x=-5

Answer:

The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).

Step-by-step explanation:

The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).

In geometry "rule of detachment," states that if P leads to Q and P is true, then Q must also be true

The area of mathematics known as geometry is concerned with the dimensions, sizes, forms, and angles of a wide range of everyday objects. The terms "geometry" and "metron" are derived from Ancient Greek words that mean "measuring" and "Earth," respectively.

The most widely applied deductive reasoning premise is the Law of Detachment. This law states that the conclusion is valid whenever a conditional statement and its hypothesis are true. The conclusion can therefore be "separated" from the conditional.

According to the geometry's "rule of detachment," if P leads to Q and P is true, then Q must also be true. Despite the fact that it is stated in a different format, this is still a conditional statement.

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A graph can help us find solutions to two-variable equations through the point of intersection.

The appropriate steps will be:

Draw a graph for each side, or component, of the equation and check to see where the curves intersect, or are equal, to solve an equation graphically.

The answers to the equation are the x values of these places.

Plotting the graph of each equation allows us to clearly understand the solution. The point of intersection of the two lines is where the solution, which is an ordered pair that satisfies both equations, occurs on both lines.

Therefore, a graph can help us find solutions to two-variable equations through the point of intersection.

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Answer:

if d = -3

1. 2d(-3d)

= 2(-3) × -3(-3)

= -6 × 9

= -54.

2. 8d + 14

= 8(-3) + 14

= -24 + 14

= -10.

3. -3d

= -3(-3)

= 9.

4. 12d - 28

= 12(-3) - 28

= -36 - 28

= - 64.

5. -5d -8

= -5(-3) - 8

= 15 - 8

= 7.

*can't see the last one tho

Answer:

39:2 (simplified)

Step-by-step explanation:

books : students

351 : 18

(divide by 9)

39 : 2

The solution for the trigonometric expression 2sin²θ = -sinθ are θ = 0, π, 2π/3, 7π/6, and 11π/6 which are lies between 0 ≤ θ<2π.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

It is given that:

The trigonometric expression is:

2 sin²θ = -sinθ where 0 ≤ θ< 2π

2 sin²θ + sinθ = 0

sinθ(2sinθ + 1) = 0

sinθ = 0    or   sinθ = -1/2

θ = 0, π  or  θ = 2π/3, 7π/6, 11π/6

θ = 0, π, 2π/3, 7π/6, and 11π/6

Thus, the solution for the trigonometric expression 2sin²θ = -sinθ are θ = 0, π, 2π/3, 7π/6, and 11π/6 which are lies between 0 ≤ θ<2π.

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