what is 2 1/2 × 1/9 and how do i get the answer​

9.5 ft

Step-by-step explanation:

trust in me pls I am serious this is the right answer

9514 1404 393

Answer:

  -12 < x < 12

Step-by-step explanation:

It helps to think about what this looks like on a graph.

y = x² describes a parabola that has its vertex at the origin and opens upward. You know that 12² = 144, so the value of x² will exceed 144 when the value of x is more than 12. You also know the parabola is symmetric about the y-axis, so the same will be true for values of x less than -12.

The one solution to the inequality is ...

  -12 < x < 12

__

You can also go at this slightly differently--a way you might want to use for more complicated quadratic inequalities. Put the inequality in standard form, and factor it.

  x² -144 < 0

  (x +12)(x -12) < 0

Note that these factors are zero for x = -12 and for x = 12. The solution is the set of values of x where the sign of the product is negative.

The sign of the product of two numbers will be negative when one of them is negative and the other is positive. Since the zeros of this product are -12 and +12, the sign of the product will be different in the intervals (-∞, -12), (-12, 12), and (12, ∞). In the left-most of these intervals, both factors are negative, so the product is positive and the interval is not part of the solution set.

For the middle of these intervals, (-12, 12), the sign of (x+12) is positive and the sign of (x-12) is negative. The product will have a negative sign, so this interval is part of the solution set.

For the rightmost interval (12, ∞), both factors have positive signs, so the product is positive and the interval is not in the solution set.

Based on the analysis of the signs of the factors, we realize the solution to the inequality is the interval (-12, 12), or -12 < x < 12.

_____

The wording of your question suggests you are given a list of numbers and asked to identify those that satisfy the inequality. We don't see that list, so we can only tell you the set of numbers the solutions must be in.

Note that -12 or +12 are not solutions to this.

Step by step explanation :

The two points are ,

We can find the midpoint by finding the median of x coordinate and y coordinate .

[tex]\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}[/tex]

Step-by-step explanation:

8) Area of circle =

[tex]\pi {r}^{2} [/tex]

Radius = 1/2 of diameter (Diameter = 2x radius)

Radius = 1/2 × 10 in = 5 in.

Area of circle =

[tex]\pi {5}^{2} = 25\pi {in}^{2} [/tex]

11) Radius = 1/2 × 6m = 3m

Area of Circle =

[tex]\pi {3}^{2} = 9\pi {m}^{2} [/tex]

Note that I will leave both answers in terms of pi as I am not sure how you want to leave your answer as.

Answer:

area = πr×r

r = d/2

area = π (d/2)×(d/2)

so for problem 8,

area = pi×5×5 = 25π = 78.539 inches squared

continue the same logic for the next questions

Answer: [tex]2+i5,\ 29[/tex]

Step-by-step explanation:

Given

Complex number is [tex]2-i5[/tex]

Its conjugate is obtained by changing the sign of the original number i.e. [tex]2+i5[/tex]

The product of the two numbers is

[tex]\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29[/tex]

Answer:

The polygon is a triangle, and is not a regular polygon.

Step-by-step explanation:

The polygon is a triangle because of it's three sides. It's also a non regular polygon since it's no equilateral or equiangular.

9514 1404 393

Answer:

  (3/2π -(9/4)√3) m² ≈ 0.8 m²

Step-by-step explanation:

The area of the segment is the difference between the area of the sector and the area of the triangle.

  sector area = 1/2r²α . . . . where r is the radius and α is the central angle in radians

  triangle area = 1/2r²·sin(α) . . . . same variable definitions

Then the area of the segment is ...

  segment area = sector area - triangle area

  segment area = (1/2)r²(α -sin(α))

The central angle subtended by the segment is 360° -300° = 60° = π/3 radians

Then the segment area is ...

  A = (1/2)(3 m)²(π/3 -√3/2) = (3/2π -(9/4)√3) m² ≈ 0.8 m²

Answer:

6

Step-by-step explanation:

X=6

You can cross multiply.

72x3=36x

216=36x

216/36=x

6=x

Answer:

both are correct

Step-by-step explanation:

Answer:

$638.25

Step-by-step explanation:

I multiplied 17.25 times 37. The product was $638.25.

I was a bit confused when it said,"His overtime rate is 1 times his regular hourly rate." Since it is 1 times his hourly rate, it shouldn't affect the answer.

Answer:

9 OR 1

Step-by-step explanation:

Let the number be x

x² - 10x = -9

x² - 10x + 9=0

a=1

b=-10

c=9

Solve using the quadratic formula

x =9 or 1

Answer:

D. 6

Step-by-step explanation:

90 - 30 = 60

so :-

10X = 60

then, X= 60÷10

X = 6.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{10x^\circ = 90 - 30^\circ}[/tex]

[tex]\mathsf{10x^\circ = 60}[/tex]

[tex]\large\textbf{DIVIDE 10 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{10x}{10} = \dfrac{60}{10}}[/tex]

[tex]\large\textbf{SIMPLIFY it}[/tex]

[tex]\mathsf{x = \dfrac{60}{10}}[/tex]

[tex]\mathsf{x = \dfrac{60\div10}{10\div10}}[/tex]

[tex]\mathsf{x = \dfrac{6}{1}}[/tex]

[tex]\mathsf{x = 6}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{x = 6}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

3

Step-by-step explanation:

it's D 13 divided by 6

Answer:

49°

Step-by-step explanation:

since its a right angle that just subtract from 90

90-41= 49

Answer:

49

Step-by-step explanation:

Because of the square at O, we know that angle XOZ is a right angle and is 90°.

Since angle XOZ is made up of angle XOY and angle YOZ, we can subtract the measure of angle XOZ by the measure of angle XOY to find the measure of angle YOZ, which is equal to x.

x = 90 - 41

x = 49

Answer:

Angles 1 & 2 = supplementary

Angles 1 & 3 = supplementary

Angles 1 & 4 = congruent

Angles 1 & 5 = congruent

Angles 1 & 6 = supplementary

Angles 1 & 7 = supplementary

Angles 1 & 8 = congruent

Answer:

y = (2/3)x + 19/3

Let me know if there are any parts of the process you do not understand.

Step-by-step explanation:

First you need to know what slope is, if you do not let me know and I can explain it in depth.

Now, you can determine if a line is parallel or perpendicular  by its slope.  parallel has the same slope and perpendicular has the negative reciporical, which basically means negative 1 divided by the slope.  

So if you slope was 3 perpendicular would be -1/3.  if the slope is a fraction you can just flip the fraction and make it negative.  so if the slope is  -2/3 a perpendicular slope would be 3/2, making a negative number negative makes it positive.

Now you start with 2x - 3y = 12.  To find the slope I like putting it in slope intercept form.  basically somethign that looks liek y = mx + b.  to do that just use algebra on what you have to get y by itself.  here is how I would do that.

2x - 3y = 12 first subtract 2x from both sides

-3y = 12 - 2x Now divide both sides by -3

y = 12/-3 - (2x)/3 Now simplify

y = -4 + 2/3 x Now rarrange to make it look like I said, basically you want the x first.

y = 2/3 x - 4

There, so the slope is 2/3.  A parallel line will have the same slope.

To make the equation of a line  you want one point and the slope.  Well we have that, the point is (-2,5) and the slope is 2/3.

To find a line you set up the point slope form.  that is y - y1 = m(x - x1) where m is the slope and x1 and y1 are the coordinates of the point you need.  I will plug all that in.

y - y1 = m(x - x1)

y - 5 = (2/3)(x - (-2))  Now solve

y - 5 = (2/3)x + 4/3

y = (2/3)x + 19/3

So that is the equation of a line parallel to 2x - 3y = 12 that passes through (-2, 5)

Answer:

d. 12√37 / 37

Step-by-step explanation:

standard formula for the distance between a point (x₀,y₀) and a line ax+by+c=0 is |a*x₀ + b*y₀ + c| / √a²+b²

(x₀,y₀) : (-2 , 3)

ax+by+c=0 : 6x - y +3 = 0

x₀ = -2      y₀ = 3     a = 6       b = -1        c = 3

d = | 6*(-2) + (-1)*3 + 3 | / √6²+(-1)²

d = 12 / √37 = 12√37 / 37

Step-by-step explanation:

Angle BCA + Angle BCD = 180 (Sum of angles on a straight line)

Angle BCA + 113 = 180

Angle BCA = 180 - 113

= 67

Angle BCA + Angle A + Angle B = 180 (Sum of angles in a triangle)

67 + 72 + Angle B = 180

139 + Angle B = 180

Angle B = 180 - 139

= 41

The measure of ∠B is m∠B = 41°.

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

Given:

The sum of the exterior angle and adjacent angle with is 180°.

So, ∠BCD = 180 - 113 = 67°.

The sum of all the angles of the triangle is 180°.

So,

72° + 67° + ∠B = 180°.

∠B = 180° - 139°.

∠B = 41°.

Therefore, ∠B = 41°.

To learn more about the triangle;

https://brainly.com/question/2773823

#SPJ2

Answer:

1 bowling ball

2 box

3 can

4 book

5 pyramid

Answer:

C

Step-by-step explanation:

1. The third term has an exponent of 1.

2. A constant is the number with no variable.

I hope this helps ^-^

Answer:

12.5 %

Step-by-step explanation:

change  = 32 − 28 = 4  pages

Answer:

c

Step-by-step explanation:

1 hour in heavy traffic = 40 miles

3 hours in light traffic = 50*3 = 150 miles

150+40 = 190 miles travelled

Answer:

0%

Step-by-step explanation:

there is only one card with a 6; if you select the 6 card and do not replace it there is zero possibility of selecting another 6 card

Answer:

c

Step-by-step explanation:

$0.70 is the answer........

Answer:

96 [tex]in^2[/tex]

Step-by-step explanation:

48+12+36 (I divided it into 3 rectangles and added them up)

= 96 [tex]in^2[/tex]

Feel free to mark it as brainliest :D

Answer:

the answer is 2 hours

Step-by-step explanation: