What is the range of possible values for x?
The diagram is not to scale.
a) 12 < x < 48
b) 0 < x < 10
c) 10 < x < 50
d) 10 < x < 43

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{(-2)}}} \implies \cfrac{-9 +8}{-3 +2}\implies \cfrac{-1}{-1}\implies 1[/tex]

Answer:

Step-by-step explanation:

(-9 + 8)/(-3 + 2)= -1/-1= 1

Answer:

x=[tex]-\frac{14}{3}[/tex]

Step-by-step explanation:

3x-12-6x+21=23

-3x+9=23

-3x=14

x=[tex]-\frac{14}{3}[/tex]

Answer:

i think the answer is 150m³

Answer:

150 m³

Step-by-step explanation:

Formula

Area of a rhombus = (a · b) ÷ 2  

(where a and b are the diagonals)

Given:

⇒ Area of the rhombus = (10 · 3) ÷ 2  

                                       = 30 ÷ 2  

                                       = 15 m²

Formula

Volume of a right prism = area of the base × length

Given:

⇒ Volume of the right prism = 15 × 10

                                               = 150 m³

[tex]~~~~~8-x^3 = 0\\\\\implies 2^3 -x^3 = 0\\\\\implies (2-x)(2^2 + 2x +x^2) = 0\\\\\implies (2-x) (4+2x +x^2) = 0\\\\\implies 2-x = 0~~~~~~~~~~~;[\text{The roots of }~ x^2 +2x +4 =0~ \text{ are complex}].\\\\\implies x = 2\\\\\text{Hence,}~ x =2~ \text{ is the only real solution.}[/tex]

The possible values of x in the polynomial is x = 2

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

To find the possible values of x in the equation 8 - x³ = 0, we need to solve for x.

Starting with 8 - x³ = 0, we can add x³ to both sides of the equation:

8 = x³

Now, we can take the cube root of both sides:

∛8 = ∛x³

2 = x

So, the only possible value of x that satisfies the equation is x = 2

We can check this by substituting x = 2 into the original equation:

8 - 2³ = 8 - 8 = 0

Hence , the only possible value of x that satisfies the equation is x = 2

To learn more about polynomials click :

https://brainly.com/question/13199883

#SPJ7

Answer:

See below ~

Step-by-step explanation:

Problem 20

Problem 17

Problem 19

Answer:

Problem 20: [tex]\frac{2}{9}[/tex]

Problem 17: 3

Problem 19: [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The formula to find slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Plugging in the given values in each problem, we can solve.

-----------------------------------

Problem 20:

[tex]\frac{-4-(-6)}{4-(-5)}[/tex]

[tex]=\frac{2}{9}[/tex]

-----------------------------------

Problem 17:

[tex]\frac{5-2}{3-2}[/tex]

[tex]=\frac{3}{1} =3[/tex]

-----------------------------------

Problem 19:

[tex]\frac{2-(-3)}{6-2}[/tex]

[tex]=\frac{5}{4}[/tex]

hope this helps!

Answer: 25, 90 ,90

Step-by-step explanation:

One angle on a paralel = 155
=> x+ y + z + 155 = 360
  x + y + z = 205    ; x + y ; y + z ; x + z = 180

x + y = 180
=> Z = 205 - 180
    Z = 25  Degree
x = y = 90 degree

Mark me as Brainliest pls ! Tysm !

Answer:

Step-by-step explanation:

Mean: Add all the values and divide by the # of values

Median: The center of the values

Mode: The value that appears the most in the data set

Mean for data set 1: 86

Mean for data set 2: (85+89+71+85+86+91+92+96+87)/2= approximately 86.89

Median for data set 1: 72,75,78,80,88,90,95,98,98

We've sorted it from least to greatest, and the center is 88 because there is 4 values to the left of it, and 4 values to the right. It's at the very center.

Median for data set 2: 71,85,85,86,87,89,91,92,96

The center for this is 87 because it is again, at the absolute center/middle between the data.

Mode for data set 1: 98 because it appears 2 times, which is more often than other values

Mode for data set 2: 85 because it appears most often (2 times) in the data set

Hope this helps! :)

Answer:

3% = .03 x 15,500 = 465 / yr

465/yr x 5yrs = 2325

15,500 - 2325 = 13,175

Step-by-step explanation:

Answer:

14 pairs of earrings

Step-by-step explanation:

Question

Navya has 10 ¹/₂ feet of craft wire that she uses to make earrings.  If each pair of earring requires 3/4 foot of wire, how many pairs of earrings is Navya able to make.

Given:

To calculate the number of pairs of earrings Navya can make, divide the total amount of wire by the wire required to make 1 pair of earrings:

[tex]\begin{aligned}\implies \sf 10\frac{1}{2} \div \dfrac{3}{4} &= \sf \dfrac{21}{2} \div \dfrac{3}{4}\\ \\& = \sf \dfrac{21}{2} \times \dfrac{4}{3}\\ \\& = \sf \dfrac{21 \times 4}{2 \times 3}\\ \\& = \sf \dfrac{84}{6}\\ \\& = \sf 14 \end{aligned}[/tex]

Therefore, Navya can make 14 pairs of earrings.

Answer:

44 aproximately

Step-by-step explanation:

She puts a tag on 20 of them, the next day she catches 27 and notices 3 of them have a tag so we substract 27-3=24 we add 24 to the initial number of ducks (20) and the result is 44

Step-by-step explanation:

27÷3×20=180

or

3/27=20/n =180

so the numbers of ducks in her local park is 180

12x+10+4y

= 2(6x+5+2y)

=D

57/6 = $9.50 per shirt

9.50 x 4 = $38

Answer: $38

Answer:

$38

Step-by-step explanation:

57 ÷ 6 = 9.5

9.5 x 4 = 38

hope this helps

have a good day

The​ line-of-sight distance from the television camera to the base of the stadium​ is 1918.16 meters

A right triangle has one of its angles as 90 degrees.

Therefore, the angles and side can be found using trigonometric ratios.

Hence, the​ line-of-sight distance from the television camera to the base of the stadium​ is hypotenuse side of the right triangle formed.

sin 9° = opposite / hypotenuse

sin 9° = 300 / h

h = 300 / sin 9

h = 300 / 0.15643446504

h = 1918.15856777

h = 1918.16 meters

learn more on right triangle here: https://brainly.com/question/3126450?referrer=searchResults

#SPJ1

Answer:

31.9°

Step-by-step explanation:

Applying the Law of Sines,

⇒ sin75° / 22 = sin x° / 12

⇒ sin (45 + 30)° / 22 = sin x° / 12

⇒ (1/√2)(√3/2) + (1/√2)(1/2) / 22 = sin x° / 12

⇒ (1/√2)(√3 + 1 / 2) / 22 = sin x° / 12

⇒ 12 × (2.73/2.82) / 22 = sin x°

⇒ x = sin⁻¹ (0.529)

⇒ x = 31.9° (nearest tenth)

Answer:

See below ~

Step-by-step explanation:

Let's take an example :

I'm driving a car Z for 1,750 km and it has consumed 70 L of fuel.

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

Formula for mileage :

Mileage = Distance / Fuel consumed

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

Solving :

⇒ Mileage = 1,750 km / 70 L

⇒ Mileage = 25 km/L

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

Understanding by this method :

We can solve for the mileage of a car if we know how much distance it has covered in unit time, and the amount of fuel it has consumed, we can calculate mileage.

Answer:

I got 24.1, but you missed a equasion sign between the 0.6 and 13. If you tell me what the sign is I can help more! :)

Step-by-step explanation:

Have an amazing day! :D <3

Answer:

X can either be -4 or 11.

Step-by-step explanation:

[tex]x^{2} - 7x - 34 = 10\\\\Make this into a quadratic equation:\\\\x^{2} - 7x - 44 = 0\\ \\Find the factor pairs of -44 and their sums:\\-1,44 sum is 43\\ -2,22 sum is 20\\-4,11 sum is 7\\1, 44 sum is 45\\2, -22 sum is 20\\4, -11 sum is -7\\\\\\Find a sum that is equal to the coefficient of x which is -7 in this case. As we can see the pair 4, -11 corresponds to a sum of -7, therefore we can use this to factorise this quadratic equation and get two solutions:\\\\(x + 4) (x - 11) = 0\\[/tex]

If we set (x+4) to zero then x equals -4

If we set (x-11) to zero then x equals to 11.

So x can be -4 or 11.

Answer:

1. |-6|

2. |-5|

3. |-3|

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

|-6| = 6

|-5| = 5

|-3| = 3

Answer:

? = 56

Step-by-step explanation:

I've attached my work

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Answer:

88%

Step-by-step explanation:

The shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.

Here we have the condition that Melinda leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mary’s house.

Now we need to calculate shortest distance between Melinda’s house and Mary’s house.

The traingle is made from the given question and the shortest distance between Melinda's and  Mary’s house will be the hypotenuse of the triangle.

So from the Pythagorean theorem:-

D²=6²+4²

D²=36+16

D²=100

D=10

Hence the shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ1

Answer:

  y = 5

Step-by-step explanation:

The triangles will be congruent when corresponding sides are congruent. __

We already have ...

  KL ≅ NP . . . = 15 mm

  JL ≅ MP . . . = 22 mm

So, we need ...

  JK ≅ MN

  4y +12 = 32 . . . . substitute given values

This will be the case when ...

  4y = 20 . . . . . subtract 12

  y = 5 . . . . . . . divide by 4

The value of y that makes the triangles congruent is 5.

Answer:

0.1691

Step-by-step explanation:

[tex]arcsin( \frac{3}{9} ) = 0.3398 \\ \sin( \frac{0.3398}{2} ) = 0.1691[/tex]

3 Answers:

Choice A

Choice D

Choice E

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

Explanation:

The list of perfect squares is:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...

If we apply the square root to any of those numbers, then the number is rational.

For example, [tex]\sqrt{25} = 5 = \frac{5}{1}[/tex]

A rational number is any fraction of two integers, where zero is not in the denominator.

Based on this, we can see that choice A represents a rational number because we are summing rational numbers.

More specific proof is to write [tex]\sqrt{4} + \sqrt{16} = 2 + 4 = 6 = \frac{6}{1}[/tex] showing it is rational.

---------------------

Choice B is ruled out because [tex]\sqrt{5}[/tex] is irrational. We cannot write it as a fraction of two integers.

Choice C is ruled out for similar reasoning as choice B. This time [tex]\sqrt{24}[/tex] is irrational.

----------------------

Choice D is another answer because [tex]2*\sqrt{4} = 2*2 = 4 = \frac{4}{1}[/tex] is rational.

Choice E is another answer as well because [tex]\sqrt{49}*\sqrt{81} = 7*9 = 63 = \frac{63}{1}[/tex] is rational.

Choice F is ruled out because [tex]\sqrt{12}[/tex] is irrational, which in turn makes [tex]3\sqrt{12}[/tex] irrational as well.

Answer:

-1 = -5

0 = 0

1 = -5

2 = -20

Step-by-step explanation:

im not sure if the answer is right but i hope it helps ^^

the website i used to find my answer is called desmos

Answer:

The lowest common multiple of 10 and 20 is twenty, and the maximum common multiple is 10

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

         What is the lowest common multiple of 10 and 20?

           [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

           First let's list a few common multiples of 10 and 20:-

[tex]\Large\textsf{Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100...}}[/tex]

        Now, let's list some multiples of 20:-

 [tex]\Large\textit{Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160...}[/tex]

      Now let's find the Least common multiple (L.C.M.) of 10 and 20:-

[tex]\Large\textsc{The LCM is 20}[/tex]

            [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

Answer:

[tex]\frac{27}{125} = 0.216[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} = 0.6[/tex]

[tex]0.6^{3}[/tex] = 0.216