the range of the following relation R {(3, -5), (1,2),(-1,-4),(-12)} ​

Answer:

C

Step-by-step explanation:

AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.

The given triangles ΔABC and ΔLMN are similar by AA postulate.

A triangle is a three sided polygon that consist of three edges and three vertices .

Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.

Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.

Hence two triangles are similar by AA postulate.

Thus two triangles are similar by AA postulate. So option (C) is correct.

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Answer:

# of 20cent stamps = 8

Step-by-step explanation:

Let the  number 20cent stamps be = x

Let the number 60 cents stamps be = y

Total number of stamps => 20 = x + y ----------- ( 1 )

Total cost of the stamps = 8.80

That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )

      ( 2 ) => 20x + 60y = 880

            => x + 3y = 44

           =>  x = 44 - 3y

Substitute x in  ( 1 ) => x  +  y = 20

                                 44 - 3y + y = 20

                                     - 2y = 20 - 44

                                     - 2y = - 24

                                       2y = 24

                                       y = 12

Substitute y = 12 in  ( 1 ) => x + y = 20

                                         x + 12 = 20

                                            x = 8

Answer:

B

Step-by-step explanation:

Other answers look like utter bs

Answer:

Skewed right as the values decrease to the right.

Answer:

Step-by-step explanation:

a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50

Anything raised to 0 is 1  {Eg: 15⁰ = 1 ,(-k)⁰ = 1}

b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61

c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴

In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ

d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵

In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ

e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵

Given:

The expression is:

[tex]13-\dfrac{5}{y}[/tex]

To find:

The description that matches the given expression.

Solution:

We have,

[tex]13-\dfrac{5}{y}[/tex]

Here, [tex]\dfrac{5}{y}[/tex] is describes as the quotient of five and a number and the minus sign describes the difference between 13 and the quotient.

So, the description that matches the given expression is "difference of thirteen and the quotient of five and a number".

Therefore, the correct option is C.

Answer:

the difference of thirteen and the quotient of five and a number

Step-by-step explanation:

Answer:

32.7°

Step-by-step explanation:

Applying,

The measure of single exterior angle(S') = sum of exterior angle(S)/number of sides of the polygon(n)

S' = S/n................... Equation 1

If the sum of the exterior angle of a convex polygon(S) = 360°

From the diagram in the question,

Given: n = 11 sides

Substitute into equation 1

S' = 360/11

S' = 32.7°

Answer:

= -2/7

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 6-14)/(13 - -15)

    = (6-14)/(13+15)

    = -8/28

   = -2/7

Answer:

I don't really understand but Hope's this helps

Step-by-step explanation:

what is the question

Answer:

4(5)^2 + 3(6)

Step-by-step explanation:

200+18= 218

Hi!

i think We can set up a proportion to solve this

\frac{3}{12} \frac{x}{16}

12

3

16

x

Cross multiply

3 x 16 = 48

48/12 = 4

The answer is 4

Hope this helps! :)

Answer:

the maximum is 450 and the minimum is 0.

Step-by-step explanation:

We know that:

P(x, y) = 25*x + 45*y

First, is easy to see that as x and y increase, also does the value of P(x, y)

So we just need to find the largest and smallest possible values of these variables. We also can notice that the variable y is being multiplicated by a larger coefficient than x, so we prioritize larger values of y when we can.

We know that:

4x+y ≤ 16

x + y ≤10

x≥0

y≥0

Let's start with the second inequality, let's solve this for y:

y ≤ 10 - x

and from the first one we get:

y ≤ 16 - 4*x

Just to show that maximizing x does not work, let's do it:

from the second one, knowing that the minimum value of y is y = 0

we have that:

0 ≤ 16 - 4*x

Here the maximum value that y can take is x = 1

0 ≤ 16 - 4*1 = 0

So we can have the combination y = 0 and x = 1, when we maximize x (here we can see that we should not maximize x)

in this case we get:

P(1, 0) = 25*1 + 47*0 = 25

let's write again our inequalities:

y ≤ 10 - x

y ≤ 16 - 4*x

If now we take the minimum value of x, x = 0, we get:

y ≤ 10

y ≤ 16

Because the first one is more restrictive, we know that the maximum value that y can take (when x = 0) is y = 10

in this case we get:

P(0, 10) = 25*0 + 45*10 = 450

As expected, here is the actual maximum for the given restrictions.

For the minimum, we just need to take the two lowest possible values of x and y, which are the two given by the equalities on:

x≥0

y≥0

The smallest values are:

x = 0

y = 0

Replacing that in the equation we get:

P(0, 0) = 25*0 + 47*0 = 0

So the maximum is 450 and the minimum is 0. (with the given restrictions)

Hi there!

We are given the set of ordered pairs below:

[tex] \large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}[/tex]

1. What is the domain?

Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}

2. What is the range?

Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}

3. Is the relation a function?

Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.

These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.

From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).

Good luck on your assignment, have a nice day!

Answer:

three consecutive even integers whose sum is 24 are 6, 8 and 10.

Divide the total by amount of numbers. This will be the middle value:

24/3 = 8

The numbers are consecutive even numbers so use the even number below and above 8, which are 6 and 10.

6 + 8 + 10 = 24

The 3 consecutive even numbers are 6, 8 and 10

Answer:

A. infinitely many

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Solving systems of equations

Step-by-step explanation:

If 2 lines are parallel (same slope, different y-intercept), they would have no solution.

If 2 lines were the same (same slope, same y-intercept), they would have infinite amount of solutions.

Step-by-step explanation:

Education is anyday more important than money. ... But education is knowledge and through knowledge, we can rule over the whole world. Knowledge is a wealth more important than money. Money can buy an object, but not the thought process (knowledge) that went into creating that object.

Answer:

❍ C. tan θ = 8 / 15

Step-by-step explanation:

Using trigonometry functions

sin θ = opposite side / hypotenuse

= 8 / 17

tan θ = opposite side / adjacent side

= 8 / 15

Hence, tan θ = 8 / 15 which is option C. is the correct statement.

Answer:

Step-by-step explanation:

This graph is both linear and decreasing, as we move from left to right.

Answer:

£16, £40, £64

Step-by-step explanation:

sum the parts of the ratio, 2 + 5 + 8 = 15 parts

Divide the amount by 15 to find the value of one part of the ratio.

£120 ÷ 15 = £8 ← value of i part of ratio , then

2 parts = 2 × £8 = £16 ← amount Russell gets

5 parts = 5 × £8 = £40 ← amount Sarah gets

8 parts = 8 × £8 = £64 ← amount Terry gets

Answer:

$16, $40, $64

Step-by-step explanation:

The ratio is 2:5:8. Altogether, this adds up to 15. So they divided $120 into 15 portions. 120/15=8.

Russel got 2 portions of 8 dollars, Russel got $16

Sarah got 5 portions of 8 dollars, Sara got $40

Terry got 8 portions of 8 dollars, Terry got $64

Answer:

A=-3

Step-by-step explanation:

To begin, a parabola of form a(x-h)² +k opens upward when a is positive. Similarly, when a is negative, the parabola opens downward. Therefore, a must be negative here, as our expression for the parabola is a(x-0)²+0 = ax², with (0,0) being (h,k) and the vertex.

To determine whether a should be -3 or -0.6, we can think about the values on the graph that correspond to these values. A narrower graph would have a steeper slope. A narrower graph would have a large change in y with little change in x. Therefore, as ax² = y is our equation, and when a=-3, y changes more rapidly relative to when a = -0.6, A=-3 is our answer

Answer:

Step-by-step explanation:

a. P(Z > 1.12) = 1-N(1.12) = 1-0.8686431=0.1313569

b. P(Z S-2.35)  => P(Z <= 2.35) = 0.009386706

(please check interpretation of question b)

c. POSZ s 1.34) => P(0 <= Z <= 1.34) =  0.9098773 - 0.5 = 0.4098773

(please check interpretation of question c)

d. P(-0.8 sz s 2.44) => P(-0.8 <= 2.44) = 0.9926564 - 0.2118554 = 0.780801

(please check interpretation of question d)

The probabilities of the standard normal variable are 0.1313, 0.009386, 0.4098773, and 0.780801.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The probability of the following standard normal variable will be given by the z-score table.

a. P(z > 1.12) = 1 - P(z = 1.12) = 1 - 0.8686 = 0.1313

b. P(z ≤ -2.35) = P(z < 2.35) = 0.009386

c. P(0 ≤ z ≤ 1.34) = 0.9098773 - 0.5 = 0.4098773

d. P(-0.8 ≤ z s 2.44) = 0.9926564 - 0.2118554 = 0.780801

More about the z-score link is given below.

https://brainly.com/question/13299273

Answer:

x = -3

Step-by-step explanation:

-8x - 18 + 7 + 2x = 5 - 3x - 4 + x

-8x + 2x + 3x - x = 18 - 7 + 5 -4

-4x = 12

x = -3

Answer:

136

Step-by-step explanation:

as you know that discriminant of a quadratic equation is

D= b² - 4ac

here, according to the give equation

x² + 10x -7 -2= 0

x²+ 10x -9 = 0

b= 10 , c= -9 and a= 1

by putting all these values in D.

you can get the value of discriminant which is 136.

I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.

hope this helps.

Answer:

$16,200

Step-by-step explanation:

y = 20,000(1 - 0.1)^2

y = 20,000(0.9)^2

y = 20,000(0.81)

y = 16,200

$16,200

Answer:

I need the picture.

Answer:

A

Just took the test, you're welcome :)

-2y = x + 6 Graph A On a coordinate plane, a line goes through (negative 6, 0), and (1, negative 3) is the right answer

The coordinate plane is a system of representation and description of points and lines. The vertical (y) and horizontal (x) axes form the coordinate plane. The coordinate plane has four quadrants. The point where these lines connect is called the origin (0,0).

The properties of each of the four quadrants of the coordinate plane are:

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Answer:

The length of the complete track= [tex]7.549\times 10^{23} m[/tex]

Step-by-step explanation:

We are given that

Capacity of CD-ROM=800MB=[tex]800\times 20^{20} bytes[/tex]

1 byte=9 microns

[tex]1micron=10^{-6}m[/tex]

We have to find the  length of the complete track in m.

We change MB into  micron

[tex]800\times 20^{20} bytes=800\times 20^{20}\times 9microns[/tex]

=[tex]7200\times 20^{20} microns[/tex]

Now, we change micron into m

[tex]7200\times 20^{20} microns=7200\times 10^{-6}\times 20^{20} m[/tex]

=[tex]7.549\times 10^{23} m[/tex]

Hence, the length of the complete track= [tex]7.549\times 10^{23} m[/tex]