how to solve for a b and c ​

Answer:

Step-by-step explanation:

Given two coordinates (x₁, y₁) and (x₂,y₂), the midpoint of the coordinates is expressed as M(X,Y) = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] where;

[tex]X = \dfrac{x_1+x_2}{2}\ and \ Y = \dfrac{y_1+y_2}{2}[/tex]

Given the midpoint (X, Y) = (1,6) and one end point to be ​(-2​,​1), to get the unknown endpoint (x,y), we will apply the formula above. from the coordinates given X = 1, Y = 6, x₁ = -2 and y₁ = 1

[tex]Given \ X = \dfrac{x_1+x_2}{2}\\1 = \dfrac{-2+x}{2}\\cross \ multiply\\2 = -2+x\\x = 2+2\\x = 4[/tex]

Similarly to get y;

[tex]Given \ Y = \dfrac{y_1+y}{2}\\6 = \dfrac{1+y}{2}\\cross \ multiply\\2*6 = 1+y\\12 = 1+y\\y = 12-1\\y = 11[/tex]

Hence the unknown endpoint (x,y) is (4,11)

Answer:

(-1,-4)

Step-by-step explanation:

(-5,-3) if we're moving four units right on the x axis, it would be a bigger number near the center.  Think of it as adding -5 and 4, which would get you -1 for x (-1,x)

Now to get y, we would basically do the same thing except if it's going down, it would be a negative.  We would add both -1 and -3 together to get -4, hence the answer, (-1,-4)

I suggest drawing a graph and doing it yourself, it'll really help you.

Answer:

[tex]A=-5+9i[/tex]

Step-by-step explanation:

[tex]\left(3+4i\right)-\left(8-5i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3-8\right)+\left(4+5\right)i\\3-8=-5\\4+5=9\\\\=-5+9i[/tex]

Answer:

56

Step-by-step explanation:

The sum of two even consecutive integers is 114.

Let's let the first even integer be 2n, where n is some integer: it doesn't matter what n is, but if we multiply n by 2, we are certainly getting an even number. This is because any integer multiplied by 2 is even.

So, this means that the second number is 2n+2.

Their sum is 114. In other words:

[tex](2n)+(2n+2)=114[/tex]

Solve for n.

Combine like terms:

[tex]4n+2=114[/tex]

Subtract 2 from both sides:

[tex]4n=112[/tex]

Divide both sides by 4:

[tex]n=28[/tex]

So, n is 28.

This means that the first number is 28(2) or 56.

And the second number is 58.

So, the smallest integer is 56.

And we're done!

Answer:

12(4+1) i think

Step-by-step explanation:

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

[tex]\huge\textbf{Solving for:}[/tex]

[tex]\large\textbf{4 + 12}[/tex]

[tex]\huge\textbf{Convert it to an easier way to}\\\huge\textbf{understand or keep it as it is:}[/tex]

[tex]\large\textbf{= 12 + 4}[/tex]

[tex]\huge\textbf{The answer:}[/tex]

[tex]\large\textbf{= 16}[/tex]

[tex]\huge\textbf{Now, let's see which one of your choices}\\\huge\textbf{are equivalent to your original equation.}[/tex]

[tex]\huge\textsf{Option A.}[/tex]

[tex]\large\textbf{6(8 + 6)}[/tex]

[tex]\large\textbf{= 6(8) + 6(6)}[/tex]

[tex]\large\textbf{= 48 + 36}[/tex]

[tex]\large\textbf{= 84}[/tex]

[tex]\large\textsf{OR}[/tex]

[tex]\large\textbf{6(8 + 6)}[/tex]

[tex]\large\textbf{= 6(14)}[/tex]

[tex]\large\textbf{= 84}[/tex]

[tex]\large\textbf{84 }\boxed{\neq}\large\textbf{ 16}[/tex]

[tex]\huge\textsf{Option B.}[/tex]

[tex]\large\textbf{12(4 + 1)}[/tex]

[tex]\large\textbf{= 12(4) + 12(1)}[/tex]

[tex]\large\textbf{= 48 + 12}[/tex]

[tex]\large\textbf{= 60}[/tex]

[tex]\large\textsf{OR}[/tex]

[tex]\large\textbf{12(4 + 1)}[/tex]

[tex]\large\textbf{= 12(5)}[/tex]

[tex]\large\textbf{= 60}[/tex]

[tex]\large\textbf{60 }\boxed{\neq}\large\textbf{ 16}[/tex]

[tex]\huge\textsf{Option C.}[/tex]

[tex]\large\textbf{4(44 + 3)}[/tex]

[tex]\large\textbf{= 4(44) + 4(3)}[/tex]

[tex]\large\textbf{= 176 + 12}[/tex]

[tex]\large\textbf{= 188}[/tex]

[tex]\large\textsf{OR}[/tex]

[tex]\large\textbf{4(44 + 3)}[/tex]

[tex]\large\textbf{= 4(47)}[/tex]

[tex]\large\textbf{= 188}[/tex]

[tex]\large\textbf{188 }\boxed{\neq}\large\textbf{ 16}[/tex]

[tex]\huge\textsf{Option D.}[/tex]

[tex]\large\textbf{8(6 + 4)}[/tex]

[tex]\large\textbf{= 8(6) + 8(4)}[/tex]

[tex]\large\textbf{= 48 + 32}[/tex]

[tex]\large\textbf{= 80}[/tex]

[tex]\large\textsf{OR}[/tex]

[tex]\large\textbf{8(6 + 4)}[/tex]

[tex]\large\textbf{= 8(10)}[/tex]

[tex]\large\textbf{= 80}[/tex]

[tex]\large\textbf{80 }\boxed{\neq}\large\textbf{ 16}[/tex]

[tex]\huge\text{Therefore, your answer: \boxed{\textsf{None of the above}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

  C.  The lines intersect but are not perpendicular.

Step-by-step explanation:

The slopes (x-coefficients) of these lines are 3 and -4. They are different, but their product is not -1. Lines with different slopes are distinct lines that will intersect. If the product of their slopes is -1, they are perpendicular.

The lines intersect but are not perpendicular.

Answer:

Number of mugs in cartoon = 24 / 25

Step-by-step explanation:

Given:

Pints of cartoon = 4/5

Pints of mugs = 5/6

Find:

Number of mugs in cartoon

Computation:

Number of mugs in cartoon = Pints of cartoon / Pints of mugs

Number of mugs in cartoon = (4/5) / (5/6)

Number of mugs in cartoon = 24 / 25

Answer:

In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area

Step-by-step explanation:

In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area

Answer:

22

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

6 + 24 ÷ 3 x 4 ÷ 2

Step 2: Divide

6 + 8 x 4 ÷ 2

Step 3: Multiply

6 + 32 ÷ 2

Step 4: Divide

6 + 16

Step 5: Add

22

2x- 6 is 5x + 3

your answwr

Answer:

Area of a rectangle= L×B

=8.26cm×5.5cm

=45.43cm square

Answer:

45.43cm squared

Step-by-step explanation:

Length times breadth =

8.26cm x 5.5cm.

8.26cm x 5.5cm = 45.43cm squared.

Using an algorithm is a good way to figure out this question. There are useful websites to teach you about them :)

Answer:

it will take a programmer about 16.67 times to work before they are fired

Step-by-step explanation:

From the information given;

The transistion matrix for this study can be computed as:

       P          M         X

P     0.7      0.2        0.1

M     0        0.95     0.05

X      0        0            1

where;

The probability that the programmer remains a programmer = [tex](P *P)[/tex]

The probability that the programmer turns out to be a manager = [tex](P*M)[/tex]

The probability that the programmer is being fired = [tex](P*X)[/tex]

Thus, the required number of years prior to the moment being fired for an employee y(P), for programmer and y(M) for manager is represented by ;

[tex]y(P)=1+0.7y(P)+0.2y(M)[/tex]

[tex]y(M)=1+ 0.95y(M).[/tex]

[tex]0.05y(M)=1[/tex]

y(M) = [tex]\dfrac{1}{0.05}[/tex]

y(M) =20

y(P)=1+0.7y(P)+0.2y(M)

y(P) - 0.7y(P) = 1 + 0.2y(M)

0.3y(P) = 1 + 0.2(20)=1+4

0.3y(P) = 1 + 4

0.3y(P) =  5

[tex]y(P)=\dfrac{5}{0.3}[/tex]

[tex]y(P)=16.67[/tex]

Therefore, it will take a programmer about 16.67 times to work before they are fired

Answer:

The answer is below

Step-by-step explanation:

a) Food I contains 3 g of carbohydrate and food II 5 g of carbohydrate. x is the number of ounce of food I while y is the number of ounce of food II.

Therefore, the amount of carbohydrate in food 1 is 3x while that of food II is 5y. Since the blend contains  exactly 73 g of carbohydrate, the total number of carbohydrate in both food I and food II is 73 g. Hence:

3x + 5y = 73                    (1)

Food I contains 2 g of protein and food II 3 g of carbohydrate. Therefore, the amount of protein in food 1 is 2x while that of food II is 3y. Since the blend contains  exactly 46 g of protein, the total number of protein in both food I and food II is 46 g. Hence:

2x + 3y = 46                   (2)

Using geogebra to Sketch the graphs of both equations.

b) The point of intersection is gotten from the graph, this gives x = 11, y = 8.

The point of intersection shows the amount of food I and food II that give the required amount of protein and carbohydrate.

11 ounce of food I and 8 ounce of food II would produce the required amount of protein and carbohydrate

Answer:

49

Step-by-step explanation:

7x7=49

Answer:

49

Step-by-step explanation:

7x7=49

Answer:

=

4

x

4

y

6

Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

x

2

.

2

.

y

3

.

2

=

2

2

.

x

4

.

y

6

=

4

x

4

y

6=

4

x

4

y

6

Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

x

2

.

2

.

y

3

.

2

=

2

2

.

x

4

.

y

6

=

4

x

4

y

6=

4

x

4

y

6

Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

x

2

.

2

.

y

3

.

2

=

2

2

.

x

4

.

y

6

=

4

x

4

y

6=

4

x

4

y

6

Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

x

2

.

2

.

y

3

.

2

=

2

2

.

x

4

.

y

6

=

4

x

4

y

6=

4

x

4

y

6

Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

x

2

.

2

.

y

3

.

2

=

2

2

.

x

4

.

y

6

=

4

x

4

y

6

Step-by-step explanation:

2x+5

Step-by-step explanation:

let the number be x

According to the question

2x+5

hope it whould help

Answer:

If x= - 2. then 6x - 2 = -14

If x = 6, then 6x - 2 = 34

If x= - 5. then 6x-2= -32

Step-by-step explanation:

You have to substitute the value of x in the expression.

If x = -2,

6x-2 = 6*(-2) - 2 = -12-2 = -14

±√5

x² = 5

x = ±√5

The solution to the equation [tex]x^2=5[/tex] is [tex]x = \pm \sqrt{5}[/tex].

In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical equation:

[tex]x^2=5[/tex]

By taking the square root of both sides of the equation, we have:

[tex]x = \pm \sqrt{5}[/tex].

Read more on expression here: brainly.com/question/16729936

#SPJ6

Answer:

T=112.5+0.50*b (since there was not a given number of beads)

Answer:

1) we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002

2) P - value = 0.116435

Step-by-step explanation:

We are given;

Population mean; μ = $895

Sample mean; x' = $915

Population standard deviation; σ = $225

Sample standard deviation; s = $227.50

Sample size; n = 180

Let's state the hypothesis;

Null hypothesis;H0: μ ≤ $895

Alternative hypothesis;Ha: μ > $895

Now, the z-score formula is;

z = (x' - μ)/(σ/√n)

Thus, we are making use of the population standard deviation

z = (915 - 895)/(225/√180)

z = 20/16.7705

z = 1.193

From online p-value from z-score calculator attached, with α = 0.10, one tail, we have;

The P-Value is 0.116435

This is more than the significance level of 0.1, thus we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002

Answer:

Probability that the measure of a segment is greater than 3 = 0.6

Step-by-step explanation:

From the given attachment,

AB ≅ BC, AC ≅ CD and AD = 12

Therefore, AC ≅ CD = [tex]\frac{1}{2}(\text{AD})[/tex]

                                  = 6 units

Since AC ≅ CD

AB + BC ≅ CD

2(AB) = 6

AB = 3 units

Now we have measurements of the segments as,

AB = BC = 3 units

AC = CD = 6 units

AD = 12 units

Total number of segments = 5

Length of segments more than 3 = 3

Probability to pick a segment measuring greater than 3,

= [tex]\frac{\text{Total number of segments measuring greater than 3}}{Total number of segments}[/tex]

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

= 0.6

Answer:it got colder by more than 2 degrees

Answer:

well It would have been a change of -5ºF

Answer:

K(F) = 5/9 (F - 32) + 273.15

K(F)=298.15k

Step-by-step explanation:

C(F) =5/9 (F - 32) is used to convert temperature from Fahrenheit (F) to Celsius (C).

C(F) =5/9 (F - 32)

The function K(C)= C + 273.15 is used to convert temperature from Celsius (C) to the Kelvin (K) scale.

K(C)= C + 273.15

K(c) - 273= C

Equating both values of C

K(F) - 273.15=5/9 (F - 32)

K(F) = 5/9 (F - 32) + 273.15

If F = 77°F

K(F) = 5/9 (F - 32) + 273.15

K(F) = 5/9(77-32) + 273.15

K(F) = 5/9(45) +273.15

K(F) = 25+273.15

K(F)=298.15k

Answer:

K

C

F

298.15

Step-by-step explanation:

Answer:

12^1 = 12

Step-by-step explanation:

Any number raised to the power of one equals the number itself.

Answer:

11 25/64 in ^3

Step-by-step explanation:

Volume of a cube is given by

V = s^3

s = 2 1/4 = 9/4

V = (9/4) ^3

  = 729/64

  =11 25/64 in ^3