∠
ABC = 40° and
x
= 9 cm.
Find the length of AC.
Give your answer rounded to 1 DP.

The sequence of rigid transformations that will map the preimage ΔABC onto image ΔA'B'C' is Option(a) a reflection across the x-axis, a translation 8 units right, and then a reflection across the x-axis.

Co-ordinates of the points of ΔABC are,

A = (-4, 2)

B = (-6, 2)

C = (-2, 6)

point (x,-y) is the reflection of the point (x,y) across the x-axis.

So, new co-ordinates are,

A = (-4, -2)

B = (-6, -2)

C = (-2, -6)

point (x+8,y) is the translation of the point (x,y) by 8 units right.

So, new co-ordinates are,

A = (4, -2)

B = (2, -2)

C = (6, -6)

Then, the reflection of the point (x,y) across the x-axis is the point (x,-y).

So, new co-ordinates are,

A' = (4, 2)

B' = (2, 2)

C' = (6, 6)

These are the coordinates of ΔA'B'C' so the correct answer is Option(a).

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"The complete question is: Which sequence of rigid transformations will map the preimage ΔABC onto image ΔA′B′C′?

a) a reflection across the x-axis, a translation 8 units right, and then a reflection across the x-axis

b) a translation 4 units down and 10 units to the right

c) a reflection across the line y = x followed by a rotation 90° counterclockwise

d) a rotation 180° clockwise followed by a reflection across the x-axis."

Answer:

  21

Step-by-step explanation:

You want the value of the expression 2f(-3)-f(4), given that f(x) = 3x²-x+ 5.

A function is evaluated by putting the argument where the variable is, and simplifying the result. Polynomials are often easier to evaluate if they are written in Horner form.

  f(x) = 3x² -x +5

  f(x) = (3x -1)x +5

The values we need are ...

  f(-3) = (3(-3) -1)(-3) +5 = (-10)(-3) +5 = 35

  f(4) = (3(4) -1)(4) +5 = (11)(4) +5 = 49

Then the expression of interest has the value ...

  2f(-3) -f(4) = 2(35) -49 = 70 -49

  2f(-3) -f(4) = 21

The product of the given expression 24.8 × 3.5 is 86.8. option D

Product refers to any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.

This is also a quantity obtained by multiplication of two or more numbers.

The Multiplication symbol is represented by ( × )

For instance,

24.8 × 3.5

= 86.8

Therefore, the product of the given expression 24.8 × 3.5 is 86.8.

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Answer:

a = 7

b = -10

c = 3

That is all for this question.

The major determinant of the permeability of a membrane to a specific ion is "the quantity of open ion channels that are specific to that ion."

Certain cells, known as excitable cells, are distinguished by their capacity to produce electrical signals.

Some key features regarding the open ion channels are-

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1/2 is the likelihood of rolling an odd or even number in probability.

What is probability and how is it calculated?

The event "rolling an odd number" contains three outcomes. There are 6 equally likely outcomes in the sample space. Divide to find the probability of the event.

  P(E) = 3/9 = 1/2

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Mother spent (4r - 8) dollars more on cherries than did the father.

An expression using numbers and related operations is called a numerical expression.

According to the question, a pound of cherries costs $4.

Mom purchased r pounds.

The price of the cherry is calculated as follows: 4r = weight x $/lb.

Father purchased 2 pounds, thus the price of the cherries is 4 (2), or $8.

We remove the smaller value from the higher value, which is 4r - 8, where r must be more than two. Given that the mother spent more money on cherries than the father, the mother's cost of cherries is a greater value.

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According  to the given data the slope mpq of the secant line pq  for the following values of x are :

The slope is defined as the proportion of both the vertical difference of two points, known as the rise, towards the horizontal change between those same two points, known as the run.

Calculate the values of two line points. Determine the difference in y-coordinates between these two locations (rise). Calculate the x-coordinate distinction between these two locations (run). Divide the x-coordinate variation (rise/run or slope) by the y-coordinate difference.

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

so,

m for x

3.333333 for 2.9

3.030303 for 2.99

3.003003 for 2.999

3.00030003 for 2.9999

2.727272 for 3.1

2.90297 for 3.01

2.997002 for 3.001

2.999700 for 3.0001

this shows that the  slope m for the required x.

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I understand that the question you are looking for is:

The point P(3, −3) lies on the curve y = 3/(2 − x).

If Q is the point (x, 3/(2 − x)), use your calculator to find the slope m PQ of the secant line PQ (correct to six decimal places) for the following values of x.

i. 2.9 =

ii 2.99 =

iii. 2.999 =

iv.2.9999 =

v. 731

vi. 3.01

vii. 3.001

viii. 3.0001

a. Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(3,-3)

b. Using the slope from part (b), find an equation of the tangent line to the curve at P(3,- 3).

Answer:

Step-by-step explanation:

Answer:

the side of a cube is 5 cm.

Total surface area of cube =6× (side)

2

=6×5×5

=150

∴ The total surface area of cube is 150 cm

2

Step-by-step explanation:

Sorry I I don't have much time to answer the rest

Answer:

10,540

Step-by-step explanation:

(5000*2)+(200+300)+40

10,000+500+40=10,500+40=10,540

Hope this helps!

Answer:

10540

Step-by-step explanation:

Answer: 4==> D

Step-by-step explanation:

b=1

|2b-5|+1=

|2(1)-5|+1=

|2-5|+1=

|-3|+1=       ==> Absolute value equations are always positive: |-x|=x, not -x.

3+1=4==> D

Answer:

Step-by-step explanation:

D 4

135,701.949 rounded to the hundredths is 135,701.95

The digit 8 in Carla’s number represents 10 times of what the digit 8 represents in Travis’ number.

The number written by Carla = 814,247

The number written by Travis = 683,571

The place value of digits starting from left is ones, ten's, hundreds, thousands, ten thousand, hundred thousand and so on.

As per this sequence of values, we can see that digit 8 in Carla's number is at hundred thousand place value. Also, digit 8 in Travis' number is at ten thousand place value. So, representing these place value in numeral form and finding the number of times one is greater than other.  

Digit 8 in Carla's number: 100,000

Digit 8 in Travis' number: 10,000

Finding the answer -

Value = 100,000 ÷ 10,000

Cancelling common zeroes from numerator and denominator

Value = 10

Hence, digit 8 in Carla’s number represents 10 times of what the digit 8 represents in Travis’ number.

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The correct question is -

Carla wrote this number: 814,247

Travis wrote this number: 683, 571

The digit 8 in Carla’s number represents how many times what the digit 8 represents in Travis’ number?

A. 10

B. 100

C. 1000

D. 1/10

The domain of x will be a set of whole numbers greater than 2 which is; x  > 2

The range of y will be a set of rational numbers greater than or equal to 1.5 which is; y ≥ $1.5

The domain of a function is defined as the set of all possible input values that make the function possible while range is the set of all possible output values that are possible from the input values.

The function is; y = 0.5x

Since the value of x represents the number of people that purchased tickets for the rides including Neville, then we can say that the domain of x will be a set of whole numbers greater than 2 because we are told it is him and his friends which is plural. Thus;

The domain is; x > 2

The range will be;

y ≥ 3(0.5)

y ≥ $1.5

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Answer:

1/3 is a repeating decimal. 0.33333....

7/12 is a repeating decimal 0.5834....

1/5 is a terminating decimal 0.5

5/8 is a terminating decimal 0.625

2/9 is a repeating decimal 0.2222......

Step-by-step explanation:

Hope it helps! =D

Answer:

1/3 is a repeating decimal

7/12 is a repeating decimal

1/5 is a terminating decimal

5/8 is a terminating decimal

2/9 is a repeating decimal

Answer:

crying -adjective. mending -noun. envying -verb.

Step-by-step explanation:

since an adjective is a word naming an attribute of a noun, the word cry is a noun and so the action being carried out "crying" is an adjective.

a noun is a word used in identifying a person, place or thing. and mending is a... you get the idea?

36.6 in standard form will be [tex]3.66 * 10^{1}[/tex]

As per the question statement, we are given standard form of a number i.e., [tex]3.66 * 10^{1}[/tex].

We have to find the number whose standard form is [tex]3.66 * 10^{1}[/tex]

For solving this, we should be knowing about standard form conversion from any given number which is written by raising the number to power of 10.

[tex]3.66 * 10^{1}[/tex][tex]= 3.66 *10 = 36.6[/tex]

Therefore 36.6 is the number whose standard form is [tex]3.66 * 10^{1}[/tex]

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Answer:

w=12

Step-by-step explanation:

3.6w=2(0.8w+12)

3.6w=2x0.8w+2x12

3.6w=1.6w+24

3.6w-1.6w=24

2w=24

w=12

HOPE THIS WILL HELP;)

The values of the expression at the domain {-2, 3} are {-8, 4}

The expression is given as

2x^2 + 3x - 10

The domain of the function is given as

{-2, 3}

Rewrite the domain as

x = {-2, 3}

Next, we substitute these values of x in the expression 2x^2 + 3x - 10

So, we have

x = -2:⇒ 2(-2)^2 + 3(-2) - 10 = -8

x = 2:⇒ 2(2)^2 + 3(2) - 10 = 4

Hence, the values of the expression at the domain {-2, 3} are {-8, 4}

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Answer:

343.

Step-by-step explanation:

nice :)

The product of 3 and 7 is 21.

The product of two numbers is the result you get when you multiply the  numbers together.

Given are two numbers, 3 and 7.

When we multiply 3 to 7 we get 21,

Mathematically, it can be expressed as,

3x7 = 21

Hence, The product of 3 and 7 is 21.

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Answer: x=6

Step-by-step explanation: (x+54)+5x=90 -> 6x+54=90 -> 6x=36 -> x=6

you know it equals 90 because it's on a 180 and there's a right angle.

simplify the equation to 6x+54=90, subtract 54 from 90, and divide by 6 to isolate x.

Answer: x<2

Step-by-step explanation:  Isolate the variable by dividing each side by factors that don't contain the variable.

hope this was helpful!! - hailey_ <3 :)

The gas mileeage in miles per gallon is 44.69 miles per gallon

We'll begin by converting 19 Km/L to miles per litres. This can be obtained as follow:

1 Km/L = 0.621371 mile per litre

Therefore,

19 Km/L = (19 Km/L × 0.621371 mile per litre) / 1 Km/L

19 Km/L = 11.806 miles per lire

We can convert 11.806 miles per litre to miles per gallon as follow:

1 mile per litre = 3.78541178 miles per gallon

Therefore,

11.806 miles per litre = (11.806 miles per litre × 3.78541178 miles per gallon) / 1 mile per litre

11.806 miles per litre = 44.69 miles per gallon

Thus, the gas mileage is 44.69 miles per gallon

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Answer: x has infinite number of solutions

Step-by-step explanation:

6−2(8−x)=2x−10

6-16-2(-x)=2x-10

-10+2x=2x-10

2x-10=2x-10 ==> x has infinite number of solutions

Answer: GoodMorning: )✨Ok so We should Know that The top number in a fraction is always considered a numerator, and that It shows the number of parts we have. The bottom number in a fraction is considered a denominator. It shows the total number of parts into which anything is divided. For example, in the fraction 8/7, 8 is the numerator and 7 is the denominator.

Step-by-step explanation:  Like In this fraction 7/3, 7 is the numerator and 3 is the denominator. In the fraction 9/7, 9 is the numerator and 7 is the denominator.The value placed above the horizontal line in a fraction is called a numerator. It signifies the number of parts taken out of the whole. The numeric value below the vinculum of a fraction is called the denominator. It represents the total number of equal parts as a whole. Hope this helps: )

Have A Nice Day: )

Answer:

A numerator is a value on the upper character set of a rational or fraction value and a denominator is the downer

[tex]{ \rm{fraction = \frac{numerator}{denominator} }} \\ [/tex]

For example;

Three quarters

[tex]{ \rm{ = \frac{3}{4} }} \\ [/tex]

3 is numerator and 4 is denominator

we get that the point P can either lie at - 3 or at 23.

We are given the two points:

P and Q

We are also given the distance between the two points P and Q is:

PQ = 10 units.

Now we have that Q lies at 13.

We have to find the location of P.

We know that

Distance = P ± Q

10 = P ± 13

so, we get that

10 = P + 13 or 10 = P - 13

P = 10 - 13 or P = 13 + 10

P = -3 or P = 23

Therefore, we get that the point P can either lie at - 3 or at 23.

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Answer:

Step-by-step explanation:

[tex]\lim\limits_{x \to 0} (1+x)^\frac{1}{x} =e\ (the\ second\ remarkable\ limit.)\\\\ \lim\limits_{x \to 0} (1+x)^\frac{1}{x} \approx2.718[/tex]