The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30.
There is a % chance that more than 250 books were borrowed in a week.

Answer:

C: because one pair of congruent corresponding angles is sufficient to determine similar triangles

Step-by-step explanation:

on edge! hope this helps!!~ （‐＾▽＾‐）

The information in the diagram is enough to determine that △LMN ~ △PON using a rotation and dilation because one pair of congruent corresponding angles is sufficient to determine similar triangles. Therefore, option c is the correct answer.

The information in the diagram is enough to determine that △LMN ~ △PON using a rotation about point N and a dilation because one pair of congruent corresponding angles is sufficient to determine similar triangles.

In order to determine that two triangles are similar, you need to establish that their corresponding angles are congruent, and their corresponding sides are in proportion.

In the given scenario, you have △LMN and △PON. The key information is that ∠MNL and ∠ONP are congruent angles. This means that one pair of corresponding angles is equal.

According to the Angle-Angle (AA) similarity theorem, if you have two pairs of corresponding angles that are congruent, the triangles are similar. In this case, you have one pair of congruent corresponding angles, ∠MNL ≅ ∠ONP, which is sufficient to determine that △LMN ~ △PON.

The statement "because one pair of congruent corresponding angles is sufficient to determine similar triangles" is the correct explanation for why △LMN is similar to △PON using a rotation about point N and a dilation.

Therefore, option c is the correct answer.

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Answer:

9/20

Step-by-step explanation:

You set the fraction up at first as 45/100. Then you know that 5 goes into each so you divide by 5 [tex]\frac{45}{100} /5[/tex]

45/5=9

100/5=20

You get 9/20, and this is in simplest form.

Answer:Y9/20

Step-by-step explanation:

Answer:

The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

Step-by-step explanation:

These two lines do intersect and do not have the same y intercept so it cannot be the first two options

And since the problem is in term of x only, the third option is true

ANSWER

The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

EXPLANATION

The given functions are:

f(x)=5x-1

g(x)=4x-8

To solve the equation 5x−1=4x−8 graphically, we need to graph f(x)=5x-1 and g(x)=4x-8 on the same graph sheet.

The x-coordinates of the point of intersection of the graphs of the two functions is the solution to the equation:

5x−1=4x−8

The third choice is correct.

Answer:remove the radical and try not to simplify

Step-by-step explanation:

Answer:

32 × 2 = 64

Step-by-step explanation:

x is being multiplied by 2 so it would be half of 64.

Answer:

x = ± 8

Step-by-step explanation:

Given

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8 ← note plus or minus

[ since 8² = 64 and (- 8)² = 64 ]

that is incorrect. you would have to do $3.00 divided by 60 which is equal to 0.05. therefore, each crayon costs 0.05. the way you can check that this is right is to do 0.05 multiplied by 60 which will get you to $3.00

Answer:

3.00 is the correct answer

The provided scenario that relates to the equation y = 2x + 5 involves starting with 5 chickens on a farm and then doubling the number each month.

For the farm scenario with chickens, the number of chickens each month is not 2 times the number in the month before plus five, but rather 2 times the previous month's number. This does not fit the equation y = 2x + 5, where x would represent time in months and y would represent the total number of chickens.

In Nina's book-selling scenario, for each book she sells, she earns $2 plus a $5 tip. This fits the equation perfectly, where x represents the number of books Nina sells and y represents her total earnings. So, for Nina's scenario, Yes, it models the equation.

The temperature scenario also fits the equation y = 2x + 5, where x represents the number of hours after 8:00 AM and y represents the temperature in degrees Celsius. Thus, for every hour, the temperature increases by 2 degrees, starting from 5 degrees at 8:00 AM. So, for the temperature scenario, Yes, it models the equation.

Answer:

Step-by-step explanation:

[tex]k\in\mathbb{Z}\\\\\sin x=0\iff x=180^ok\\\\\cos x=0\iff x=90^o+180^ok\\\\\tan x=0\iff x=180^ok\\\\\cot x=0\iff x=90^o+180^ok\\\\\csc x\neq0\ \text{for}\ x\in\mathbb{R}-\{180^ok\}\\========================\\\\\sin270^o\neq0\\\\\cos90^o=\cos(90^o+180^o\cdot0)=0\\\\\tan0^o=\tan(180^o\cdot0)=0\\\\\csc(-180^o)\neq0\\\\\cos(-90^o)=\cos(90^o-180^o)=\cos(90^o+180^o\cdot(-1))=0\\\\\cot270^o=\cot(90^o+180^o)=0[/tex]

Answer:

cos90° = 0°, tan0° = 0°,cos(-90°) = 0°, cot270° = 0°

Step-by-step explanation:

Area shaded = Area big circle- Area of small circle;

200 pi= pi•(2x)^2 -pi•6^2;

200pi= pi•4x^2 -pi•36;

200pi=pi•4(x^2 -9) divide both sides by 4pi;

50=x^2 -9; So x=sqrt(59)~7.68cm

Answer:

Step-by-step explanation:

The circumference of a circle = 2*pi * r

so 16 pi yards = 2 * pi * r

Divide both sides by 2

16 pi/2 = 2*pi * r /2

8*pi =  pi * r    

Divide both sides by pi

8 * pi / pi = pi * r / pi

r = 8

====================

Surface Area = 4 pi * r^2

r = 8

Surface Area = 4 * pi * 64

Surface Area = 256 * pi

The surface area of the sphere is [tex]\( 256\pi \)[/tex] square yards.

To find the surface area of a sphere given its great circle circumference, we can use the relationship between the circumference and the radius of the sphere.

The formula for the circumference of a great circle of a sphere is:

[tex]\[ C = 2\pi r \][/tex]

We can solve for the radius r

[tex]\[ 16\pi = 2\pi r \][/tex]

r = 8

Next, we use the formula for the surface area A of a sphere:

[tex]\[ A = 4\pi r^2 \][/tex]

Substitute  r = 8  into the formula:

[tex]\[ A = 4\pi (8)^2 \][/tex]

[tex]\[ A = 256\pi \][/tex]

Therefore, the surface area of the sphere is [tex]\[ A = 256\pi \][/tex] square yards.

Answer:

C.  [tex]\pi (5^{2} )(13)+\frac{1}{3} \pi (5^{2} )(12)[/tex]

Step-by-step explanation:

Edge 2021

The volume of the composite figure is given by the expression π(5²)(13) + (1/3)π(5²)(12)

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the composite figure = volume of cylinder + volume of cone.

Hence:

The volume of the composite figure = π(5²)(13) + (1/3)π(5²)(25 - 13)

The volume of the composite figure = π(5²)(13) + (1/3)π(5²)(12)

The volume of the composite figure is given by the expression π(5²)(13) + (1/3)π(5²)(12)

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ANSWER

The correct a sweet is 7

EXPLANATION

The given algebraic expression is;

[tex]f(x) = - 3 {x}^{3} - 4x[/tex]

To evaluate this function for f means, we should substitute x=-1 wherever we see x in the given expression.

[tex] f( - 1) = - 3 { (-1 )}^{3} - 4( - 1)[/tex]

[tex]f( - 1) = - 3 { (-1 )} - 4( - 1)[/tex]

This simplifies to

[tex]f( - 1) = 3 + 4[/tex]

[tex]f( - 1) = 7[/tex]

The correct answer is 7

Answer:

The scale factor is [tex]0.25[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional , and this ratio is called the scale factor

Let

z----> the scale factor

x ----> the corresponding side of the resulting image

y-----> the corresponding side of the first rectangle

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=1.5\ units[/tex]

[tex]x=6\ units[/tex]

substitute

[tex]z=\frac{1.5}{6}=0.25[/tex]

Answer:

0.25

Step-by-step explanation:

z=\frac{1.5}{6}=0.25

Answer:

10.49

Step-by-step explanation:

(picture shows)

That would be:

10.49

Hope this helped!

~Just a girl in love with Shawn Mendes

so, on the way over the hikers will hike 2 miles, rest and then go the rest of 1¾ miles, meaning on the way over they'll hike 2 + 1¾ miles.

[tex]\bf \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ 2+\cfrac{7}{4}\implies \cfrac{2}{1}+\cfrac{7}{4}\implies \cfrac{(4)2+(1)7}{4}\implies \cfrac{8+7}{4}\implies \cfrac{15}{4}[/tex]

then on the way back, we know is -1/2 less than on the way over, that means the way back is (15/4) - (1/2)

[tex]\bf \cfrac{15}{4}-\cfrac{1}{2}\implies \cfrac{(1)15-(2)1}{4}\implies \cfrac{13}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total hiked distance}}{\stackrel{\textit{on the way over}}{\cfrac{15}{4}}+\stackrel{\textit{on the way back}}{\cfrac{13}{4}}}\implies \cfrac{(1)15+(1)13}{4}\implies \cfrac{28}{4}\implies 7[/tex]

we know is 1/4 for 1 mile, than how many for 7 miles?, well is just their product

[tex]\bf \cfrac{1}{4}\cdot 7\implies \cfrac{7}{4}\implies 1\frac{3}{4}[/tex]

Answer:

It is easy to divide decimals

Step-by-step explanation

To do it

First: Take an example 5/0.2

Second: Make the division more easier by multiplying the denominator and numerator by 10 ( the number of zeros vary according to the number of places in the decimal part, for example if there where three places in the decimal side the use 1000 to multiply, look at the numer of the decimal places and the numer of zeros in the number to multiply). 5*10/0.2*10 = 50/2

Third: Now divide it normaaly in the example we get 25 as the answer.

I hope you liked the answer.

Answer:

It’s 3

Step-by-step explanation:

multiply 3 time 2 and add 4

Since the length of the side labeled 10 and the other side labeled 2y +4 are the same. Set them equal to each other and subtract 4 to the other side and then divide 2 to other side to get y=3. Your welcome.

Answer: 78.85 ft

Step-by-step explanation:

 Based on the information provided in the exercise, you can draw the right triangle attached, wheree "x" is the height of the tree.

You need to remember the following identity:

[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]

By definition:

[tex]\alpha+108\°=180\°[/tex]

Then, this is:

[tex]\alpha=180\°-108\°\\\alpha =72\°[/tex]

In the right triangle shown in the figure, you can identify:

[tex]opposite=75\\hypotenuse=x[/tex]

Then, you need to substitute the corresponding values into  [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]:

 [tex]sin(72\°)=\frac{75}{x}[/tex]

Now, you can solve for "x":

[tex]xsin(72\°)=75\\\\x=\frac{75}{sin(72\°)}\\\\x=78.85\ ft[/tex]

Answer:

Step-by-step explanation:

If point (3.4, 1.2) lies on a circle, the distance between this point and the center (1, -2) is equal to the radius r = 4.

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute:

[tex]d=\sqrt{(1-3.4)^2+(-2-1.2)^2}=\sqrt{(-2.4)^2+(-3.2)^2}\\\\=\sqrt{5.76+10.24}=\sqrt{16}=4=r[/tex]

The point (3.4, 1.2) lies on the circle, and distance between the two is 4 units.

To determine whether the point (3.4, 1.2) lies on the circle with a center at (1, -2) and a radius of 4, we can use the distance formula to calculate the distance between the center of the circle and the given point. If this distance is equal to the radius of the circle, then the point lies on the circle; otherwise, it does not.

The distance formula between two points[tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is given by:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

Let's calculate the distance between the center of the circle (1, -2) and the given point (3.4, 1.2):

[tex]\[ d = \sqrt{(3.4 - 1)^2 + (1.2 - (-2))^2} \]\[ d = \sqrt{(3.4 - 1)^2 + (1.2 + 2)^2} \]\[ d = \sqrt{(2.4)^2 + (3.2)^2} \]\[ d = \sqrt{5.76 + 10.24} \]\[ d = \sqrt{16} \]\[ d = 4 \][/tex]

The calculated distance between the center of the circle and the given point is equal to the radius of the circle, which is 4 units.

Answer:

140

Step-by-step explanation:

The sum of angles is 360.

9x+14x+4x+90 = 360 => 27x+90 = 360 => 27x = 270 => x = 10 => 14x = 140 => the angle is 140

The measure of angle F is 140

Two consecutive right angles make up a right trapezoid, also known as a right-angled trapezoid. The trapezoidal rule employs right trapezoids to calculate the areas under a curve. An obtuse trapezoid has one acute and one obtuse angle on each base, whereas an acute trapezoid has two consecutive acute angles on its longer base edge.

Given

Sum of all angles of trapezoid = 360

9x + 14x + 4x+ 90 = 360

27x + 90 = 360

27x  = 270

x = 10

F = 14x = 14* 10 = 140

Therefore, The measure of angle F is 140.

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Six Is 2/5 Of 15

6 Is 40% Of 15

Answer:

2/5, 40%

Step-by-step explanation:

When we ask "six is what fraction of 15?", we're asking this: how much of 15 does 6 take up? Just looking at a picture of it, if we have 15 pieces of a whole cake, 6 of those pieces take up a little less than half of that total. We represent this with the fraction 6/15. Now, 6 and 15 have something in common, too: they can both be divided by 3. Take a look at the second picture now. Notice that when we divide the total number of parts and the number of pieces by the same number, the amount those pieces take up stays exactly the same. Since 6 divided by 3 is 2 and 15 divided by 3 is 5, we can say that 6/15 = 2/5, and we can't go any further than that.

Percents are just a special kind of fraction; ones that have 100 in their denominator (the word "percent" literally means "for each 100"). We also have a special way of writing percents: 6/100 would be written as 6%, 50/100 would be 50%, and 100/100 would be 100%.

Remember when I showed how fractions can be equal to each other if you can divide both number by the same thing? You can do the same thing in the other direction: you can create equivalent fractions by multiplying both numbers by the same number.

So, we want to go from 2/5 to ?/100 (we don't know what number ? is yet!) but how do we get there? Well, remember, for two fractions to be equal, you have to multiply both the top and bottom by the same number. Whatever we multiply 5 by to get 100, we'll have to multiply 2 by to get that ?

Well 5 × 20 = 100, so 20 seems to fit the bill, and multiplying 2 × 20 gets us 40, making our fraction 2/5 = 40/100, which we'd write as 40%.

So 6 is 2/5 of 15, which is the same as 40% of 15!

Answer:

The coordinates of C are (5 , 2)

The slope of CD is 3

The coordinates of D are (6 , 5) and (4 , -1)

Step-by-step explanation:

* Now lets study the problem

- The ends points of line AB are A = 2 , 3) and B = (8 , 1)

- CD is the perpendicular bisector of AB, and C lies on AB

- That means:

# C is the mid-point of AB

# The slope of AB × the slope of CD = -1 (one of them is a multiplicative

  inverse and additive inverse of the other)

-Ex: the slope of one is a/b, then the slope of the other is -b/a

* The mid-point between two points (x1 , y1) and (x2 , y2) is:

  [(x1 + x2)/2 , (y1 + y2)/2]

∵ C is the mid-point of AB

∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)

* The coordinates of C are (5 , 2)

- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:

 the slope = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3

∵ CD ⊥ AB

∴ The slope of CD × the slope of AB = -1

∴ The slope of CD = 3

* The slope of CD is 3

- The length of a line passing through points (x1 , y1) and (x2 , y2) is:

 the length = √[(x2 - x1)² + (y2 - y1)²]

∵ The length of CD = √10

∵ Point D is (x , y)

∴ (x - 5)² + (y - 2)² = (√10)²

∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)

∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply

∴ (y - 2) = 3(x - 5) ⇒ (2)

- Substitute (2) in (1)

∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify

* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²

∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms

∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides

∴ (x - 5)² = 1 ⇒ take √ for both sides

∴ x - 5 = ± 1

∴ x - 5 = 1 ⇒ add 5 to both sides

∴ x = 6

* OR

∴ x - 5 = -1 ⇒ add 5 to both sides

∴ x = 4

- Substitute the values of x in (2)

∴ y - 2 = 3(6 - 5)

∴ y - 2 = 3 ⇒ add 2

∴ y = 5

* OR

∴ y - 2 = 3(4 - 5)

∴ y - 2 = -3 ⇒ add 2

∴ y = -1

* The coordinates of D are (6 , 5) and (4 , -1)

Answer and Step-by-step explanation:

Answer:

The coordinates of C are (5 , 2)

The slope of CD is 3

The coordinates of D are (6 , 5) and (4 , -1)

Step-by-step explanation:

* Now lets study the problem

- The ends points of line AB are A = 2 , 3) and B = (8 , 1)

- CD is the perpendicular bisector of AB, and C lies on AB

- That means:

# C is the mid-point of AB

# The slope of AB × the slope of CD = -1 (one of them is a multiplicative

 inverse and additive inverse of the other)

-Ex: the slope of one is a/b, then the slope of the other is -b/a

* The mid-point between two points (x1 , y1) and (x2 , y2) is:

 [(x1 + x2)/2 , (y1 + y2)/2]

∵ C is the mid-point of AB

∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)

* The coordinates of C are (5 , 2)

- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:

the slope = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3

∵ CD ⊥ AB

∴ The slope of CD × the slope of AB = -1

∴ The slope of CD = 3

* The slope of CD is 3

- The length of a line passing through points (x1 , y1) and (x2 , y2) is:

the length = √[(x2 - x1)² + (y2 - y1)²]

∵ The length of CD = √10

∵ Point D is (x , y)

∴ (x - 5)² + (y - 2)² = (√10)²

∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)

∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply

∴ (y - 2) = 3(x - 5) ⇒ (2)

- Substitute (2) in (1)

∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify

* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²

∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms

∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides

∴ (x - 5)² = 1 ⇒ take √ for both sides

∴ x - 5 = ± 1

∴ x - 5 = 1 ⇒ add 5 to both sides

∴ x = 6

* OR

∴ x - 5 = -1 ⇒ add 5 to both sides

∴ x = 4

- Substitute the values of x in (2)

∴ y - 2 = 3(6 - 5)

∴ y - 2 = 3 ⇒ add 2

∴ y = 5

* OR

∴ y - 2 = 3(4 - 5)

∴ y - 2 = -3 ⇒ add 2

∴ y = -1

* The coordinates of D are (6 , 5) and (4 , -1)

Answer:

x= 35 gallons consumed by 1st car

and y= 40  gallons consumed by 2nd car

Step-by-step explanation:

Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

Let x= gallons consumed by 1st car

and y= gallons consumed by 2nd car

Total gallons consumed by both cars = 75

so, we can write

x + y = 75

Miles covered by both cars = 1925 miles

and we know, Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

we can write the equation as

15 x + 35 y = 1925

where x and y are gallons consumed by 1st and 2nd car.

We have two equation now,

x + y = 75                   (1)

15 x + 35 y = 1925     (2)

Multiplying eq(1) with 15 and subtracting eq (1) and 2

15 x + 15 y = 1125

15 x + 35 y = 1925

-       -            -

_______________

0 - 20 y = -800

y= -800 / -20

y = 40

Putting value of y in equation 1

x + y = 75

x + 40 = 75

x= 75 - 40

x = 35

x= 35 gallons consumed by 1st car

and y= 40  gallons consumed by 2nd car

The first car consumed 50 gallons of gas and the second car consumed 25 gallons of gas that week.

Let's denote the number of gallons consumed by the first car as x and the number of gallons consumed by the second car as y. Then, we have the following two equations based on the mileage and the total gas consumption:

To solve these two equations, you can first solve the second equation for x, x = 75 - y, and then substitute it into the first equation: 15(75 - y) + 35y = 1925. This gives you y = 25. So, the second car consumed 25 gallons of gas. As the total gas consumption is 75 gallons, the first car must have consumed 75 - 25 = 50 gallons of gas.

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Answer:

C

Step-by-step explanation:

Correct option is C.

Let x be the number of rows in a meeting room. If there are 4 fewer chairs laid out in each row than the number of rows, then in each row there are x-4 chairs.

The total number of chairs is

[tex]x(x-4)[/tex]

The total number of chairs in the room is 60. Hence,

[tex]x(x-4)=60[/tex]

Answer:

8.91

Step-by-step explanation:

Given:  0.95 = log x,

we can conclude that:

    0.95            log x

10             =  10

                                                          0.95

which in turn is equivalent to x = 10            whose value is  8.91

Final answer:

To solve 0.95 = log x, we apply the inverse of the logarithmic function, raising 10 to the power of 0.95 to find that x ≈ 8.9125.

Explanation:

To solve the given equation 0.95 = log x, we need to understand that 'log' usually refers to a logarithm with base 10, unless otherwise stated. To find the value of x, we must revert the logarithmic equation back to its exponential form. In this case, we are finding the power to which 10 must be raised to give the value x.

The inverse operation for a base 10 logarithm is raising 10 to the power of whatever the logarithm equals. Applying this principle to our equation, we have:

x = 100.95

Using a calculator, we would get:

x ≈ 8.9125

The histogram would look something like this:

Hope I helped and please give me brainliest!

Answer: First option

v-3u = 11 j

Step-by-step explanation:

To find the components of the vector v, you must locate the initial and final points of the vector on the graph.

Final point

(7, 2)

Initial point

(-5, 0)

Then the vector v will have the following components:

[tex]v = (7 - (- 5)) i + (2-0) j\\\\v = (7 + 5) i + 2j\\\\v = 12i + 2j[/tex]

Now multiply the vector u by -3

[tex]u = (4, -3)\\\\u =4i -3j\\\\-3u = -12i + 9j[/tex]

Now add both vectors.

[tex]v-3u = (12-12) i + (2 + 9) j\\\\v-3u = 0i + 11j\\\\v-3u = 11j[/tex]

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}10&-30\\-10&-2\end{array}\right]}[/tex]

Step-by-step explanation:

[tex]X-3\left[\begin{array}{ccc}2&-8\\-4&2\end{array}\right] =\left[\begin{array}{ccc}4&-6\\2&-8\end{array}\right]\\\\X-\left[\begin{array}{ccc}(3)(2)&(3)(-8)\\(3)(-4)&(3)(2)\end{array}\right]=\left[\begin{array}{ccc}4&-6\\2&-8\end{array}\right]\\\\X-\left[\begin{array}{ccc}6&-24\\-12&6\end{array}\right]=\left[\begin{array}{ccc}4&-6\\2&-8\end{array}\right][/tex]

[tex]X-\left[\begin{array}{ccc}6&-24\\-12&6\end{array}\right]+\left[\begin{array}{ccc}6&-24\\-12&6\end{array}\right]=\left[\begin{array}{ccc}4&-6\\2&-8\end{array}\right]+\left[\begin{array}{ccc}6&-24\\-12&6\end{array}\right]\\\\X=\left[\begin{array}{ccc}4+6&(-6)+(-24)\\2+(-12)&-8+6\end{array}\right]\\\\X=\left[\begin{array}{ccc}10&-30\\-10&-2\end{array}\right][/tex]

Answer:

y<2x-4

y<-2x

Step-by-step explanation:

Since we are dealing with and inequality we need to remember the following tips.

We no obtain values from inequalities, we obtain ranges.

If y<f(x), the range of variable y resides below de graph of f(x), but if y>f(x), the range is above.

y<2|x-1|-2​

Gives two functions.

first'

y<2(x-1)-2 if x>1 and

y<-2(x-1)-2 if x<1

First equation turns in y<2x-4 and the second y<-2x

Two line going in different directions

Hold on I have that answer

Answer:

The numerical value of circumference is greater than the numerical value of area

Step-by-step explanation:

Given

circumference= 2π

formula for circumference of circle is 2πr

hence r of given circle is 1

formula for area of circle is πr^2

putting r=1 in above equation

Area of given circle= π(1)^2

                               = π

As 2π>π

The numerical value of circumference is greater than the numerical value of area!