Calculate the slope of the line going through A(-4,3) and B(0,6)

Answer:

[tex]-12-10i[/tex]   is the required answer.

Step-by-step explanation:

[tex]\left(-9-8i\right)-\left(3+2i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\\=\left(-9-3\right)+\left(-8-2\right)i\\\\=-12-10i[/tex]

Best Regards!

Answer:

They are both correct.

Step-by-step explanation:

As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.

Hope this helped!

We will see that both Jared and Nicole are correct.

So we know that Jared found an equation:

y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.

We also know that Nicole found the equation:

x = y - 10

And she replaced x by y - 10 on the other equation, she is also correct.

Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

select the first, second, and third option

Step-by-step explanation:

the fourth option is wrong because the lines are intersecting

Answer:

Step-by-step explanation:

   45=5*3^2

    75=5^2*3

1.  LCM=product of the common and uncommon prime factors  at the biggest   power

LCM=3^2*5^2=9*25=225

2. HCF= product of the common prime factors at the lowest power

HCF=3*5=15

3. 10*x-3

4. 6^2-7^2=36-49=-13

5. I. K=4-1=3 drinks

    II. Total=4+3=7 drinks

6. You will draw exact as inthe drawing with dimensions l=8 cm,h=3cm, w=4 cm

Answer:

Step-by-step explanation:

LCM of two numbers is the smallest number that is evenly divisible by the two numbers

1) 45 = 3 * 3 * 5 = 3² * 5

75 =  3 * 5 * 5  = 3 * 5²

LCM = 3² * 5² = 9 *25 = 225

LCM = 225

2) HCF of two numbers is the greatest number which divides each of them exactly.

HCF of 45 and 75  = 3*5 = 15

HCF = 15

3) 10x  - 3

4) m² - n² = 6² - 7²

               = 36 - 49

               = -13

m² - n² = -13

When two numbers are in different sign, subtract and the result will have the sign of the bigger number.

5)a)  Kate prepared  (4-1) 3 drinks

  b) Total volume of drinks = 4 + 3 = 7

Answer:

x = 2

Step-by-step explanation:

x + 1/2 (6x - 4) = 6

Expand the brackets.

x + 3x - 2 = 6

Add like terms.

4x - 2 = 6

Add 2 on both sides.

4x = 6 + 2

4x = 8

Divide 4 into both sides.

x = 8/4

x = 2

Answer:

x=5/4

Step-by-step explanation:

Answer:

So we must create 4-digit numbers with the 5 odd digits in the image.

First, a number is only divisible by 5 if the last digit is 0 or 5, and we only can use the last digit equal to 5 (because 0 is not in the image).

if each odd number can be used only once, we have:

Now, for the other 3 digits we have 4 options.

So for the first one we have 4 options,

for the second we have 3 options (because one is already taken)

for the last one we have only 2 options

then the number of combinations is:

C = 4*3*2 = 24.

If the numbers can be repeated (for example, 5555 is allowed, then)

we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third we also have 5 options, then we have a total of:

C = 5*5*5 = 25*5 = 125 combinations.

Answer:

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{4}[/tex]=[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

This sentence isn't always true.

The trick is to use fractional numbers .

let's analyse this example :

1/2=0.5 and 1/4=0.25 but 1/8=0.125

0.125<0.25<0.5

The product of two positive numbers is less than either number i.e. 4 × (1/2) = 2 < 4 which counterexample shows that the conjecture is false.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

We have been that conjecture "The product of two positive numbers is always greater than either number."

As per the given condition,

For example: 4 × (1/2) = 2 < 4

Therefore, the product of two positive numbers is less than either number i.e. 2 < 4.

Hence, the above counterexample shows that the conjecture is false.

Learn more about the number system here:

https://brainly.com/question/21751836

#SPJ2

Answer:

Step-by-step explanation:

First one is 200 dollars for insurance which will be the constant and 15 dollars an hour which means the equation will be;

C = 15h +200 (Sinking Rivers)

Second one is $30 an hour and $110 for insurance which is the constant so he equation is;

C = 30h + 110 (Floating Down The Stream)

Complete Question :

In golf, a score below zero is “under par” and a score above zero is “over par.”

Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone’s score on each hole?

A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.

B. He scored 3 under par on each of the first 14 holes and 2 under par on each of the next four holes.

C. He scored 3 under par on each of the first 14 holes and 4 over par on each of the next four holes.

D. He scored 3 under par on each of the first 14 holes and 4 under par on each of the next four holes.

Answer: A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.

Step-by-step explanation:

Given that :

a score below zero is “under par” and a score above zero is “over par.”

Same score on each of the first 14 holes

Total score on first 14 holes = - 42

Therefore, score on each hole = ( total score / number of holes)

= - 42/14 = - 3

Negative signifies that it is 'under par'

Score on each of the next four holes is also the same.

Therefore, total score on next four holes :

(final score - total score on first 14 holes)

(-34 - (-42))

(-34 + 42) = 8

Total score on next four holes = 8

Score on each hole = 8/4 = 2

Positive score means he scored over par

Answer:

a

Step-by-step explanation:

I did quiz

Answer:

  [tex]\textbf{B. }\ \dfrac{3}{2}\sqrt{2}[/tex]

Step-by-step explanation:

You know the short side of an isosceles right triangle is 1/√2 times the hypotenuse. So, the hypotenuse of the 30°-60°-90° right triangle is ...

  6/√2 = (6√2)/2 = 3√2

You also know the short leg of a 30°-60°-90° right triangle is half the length of its hypotenuse, so ...

  x = (1/2)(3√2)

  x = (3/2)√2

_____

Additional comment

For many trig and geometry problems, it is useful to remember the ratios of side lengths for "special" right triangles:

  isosceles right triangle: 1 : 1 : √2

  30°-60°-90° triangle: 1 : √3 : 2     (shortest to longest)

This knowledge usefully relates to the trig function values for these "special" triangles.

Answer:

3/√2 or 3√2/2

Step-by-step explanation:

Bigger triangle has internal angles 45/45/90, so the legs have equal length and = 6/√2 as hypotenuse = 6

Smaller triangle has hypotenuse of 6/√2 and the angle against leg x is 30°

As we know the leg opposite to 30° angle is half the hypotenuse, so

Step-by-step explanation:

It's not cos x^2

[tex]\cos^2x\neq\cos x^2[/tex]

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

[tex]\cos x-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos x\cos x}{\cos x}-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos^2-\sin^2x}{\cos x}[/tex]

It's the same as

[tex]3-\dfrac{2}{3}=\dfrac{3\cdot3}{3}-\dfrac{2}{3}=\dfrac{3^2-2}{3}[/tex]

Answer:

The answer is option B

Step-by-step explanation:

t^12/t^6

Use the rules of indices.

Since they have the same base and they are dividing we subtract the exponents.

That's

t^12 - 6

= t^6

Hope this helps you

Answer:

Option B is the right option.

Solution,

[tex] \frac{ {t}^{12} }{ {t}^{6} } \\ = {t}^{12 - 6} \\ = {t}^{6} [/tex]

Explanation:

To divide expression with same base, we copy the base and subtract the indices.

Hope this helps...

Good luck on your assignment..

Answer:

x = 6 , − 5

Step-by-step explanation:

Move  x   to the left side of the equation by subtracting it from both sides.  x^ 2 − 30 − x = 0

x2-30-x=0

Use the quadratic formula to find the solutions. − b ± √ b 2 − 4 ( a c )/ 2 a  

-b±b2-4(ac)/2a  

Substitute the values  

a = 1  ,  b = − 1  , and  c = − 30  

into the quadratic formula and solve for  x

x . 1 ± √ ( − 1 ) 2 − 4 ⋅ ( 1 ⋅ − 30 )/ 2 ⋅ 1    

Simplify.

x = 1 ± 11/ 2    

The final answer is the combination of both solutions.

x = 6 , − 5

Answer:

This is an arithmetic sequence with a common difference d of -9

Step-by-step explanation:

When you find out d, you realize the difference between the numbers to be -9. Since it is d and not common ratio r, it is an arithmetic sequence.

Answer:

24p = 72

Step-by-step explanation:

Let the number be p.

The product of p and 24 equals to 72.

p × 24 = 72

24p = 72

Answer:

24p = 72

Step-by-step explanation:

A

Answer:

a. distance around the circle

Answer:

50 years

Step-by-step explanation:

the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.

brainliest pls

Answer:

V = 960 cm ^3

Step-by-step explanation:

The volume is given by

V = Bh where B is the area of the base

B = 1/2 bh since the base is the triangle

B = 1/2 *12*8 =48

V = 48 * 20

V = 960 cm ^3

Answer:

960 cm^3

Step-by-step explanation:

volume of prism = (area of base) * (height of prism)

This is a triangular prism, so the base is a triangle.

area of base of prism = area of triangle = bh/2

The base of the triangle is 12 cm. The height of the triangle is 8 cm.

The height of the prism is 20 cm.

volume = (12 cm)(8 cm)/2 * 20 cm

volume = 960 cm^3

Hope you understand :)

Answer:

2 mins 30 secs

Answer:

Step-by-step explanation:

10)a) Let the number = x

4x + 8 = 16

Subtract 8 form both sides

4x + 8 - 8 = 16 - 8

4x = 8

Divide both sides by 4

4x/4 = 8/4

x = 2

The number is 2

b) Let the number = x

4x - 8 = 6

Add 8 to both sides

4x - 8 + 8 = 6 + 8

4x = 14

Divide both sides by 4

4x/4 = 14/4

x = 3.5

The number is 3.5

11) a) Increase in cost = 105 - 100 = $ 5

b) Percentage increase = [tex]\frac{5}{100}*100[/tex]

                                       = 5%

12)  Number of girls = 35

Number of girls wearing glasses  = 15

Number of boys = 40

Number of boys wearing glasses  = 10

a) Percentage of boys wearing glasses = [tex]\frac{10}{40}*100\\[/tex]

                                                                 = 25%

b) Percentage of girls wearing glasses = [tex]\frac{15}{35}*100[/tex]

                                                                 = 42.86%

c) Total children = 35 +40 = 75

Total children wearing glasses = 15 + 10 = 25

Percentage of children wearing glasses = [tex]\frac{25}{75}*100[/tex]

                                                                        = 33.33%

Answer:

it's option d you were right

Answer:

A =256 cm^2

Step-by-step explanation:

The perimeter of a square is 64 cm

P = 4s where s is the side length

64 = 4s

Divide by 4

64/4 = 4s/4

16 =s

The side length is 16 cm

The area of a square is

A = s^2

A = 16^2

A =256 cm^2

Answer:

16

Step-by-step explanation:

Perimeter=64

Since there are four sides, we divide 64 by 4

64/4=16

1 side = 4 cm

Area = l x w

4 x 4 = 16

Therefore your area of the square is 16

Hope this helps!

Answer:

t ≈ 16.0 units

Step-by-step explanation:

Using the Sine rule in Δ TUV , that is

[tex]\frac{t}{sinT}[/tex] = [tex]\frac{v}{sinV}[/tex] , substitute values

[tex]\frac{t}{sin135}[/tex] = [tex]\frac{11}{sin29}[/tex] ( cross- multiply )

t sin29° = 11 sin135° ( divide both sides by sin29° )

t = [tex]\frac{11sin135}{sin29}[/tex] ≈ 16.0 ( to the nearest tenth )

Answer:

D:10

Step-by-step explanation:

find hyp. first

sin 45=opp/hyp.

√2/2=10/hyp.

hyp.=20/√2 0r 10√2

Pythagorean theorem: a²+b²=c²

now find x²=(10√2)²-10²

x²=200-100

x²=100

x=√100=10

Answer:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

Step-by-step explanation:

According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same

. (as in the diagram)

So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

With the help of a diagram, we can better understand which has been attached.

The ratios  AD : DB  and  AE : EC  are equal.

Answer:

Step-by-step explanation:

2^{60}=8^x

2^{60}=(2^3)^x

2^{60}=2^{3x}

60=3x

x=20

Answer:

8^20 would be the answer

Answer:

Answer:

Step-by-step explanation:

The deductible amount will be controlled constantly in which the asset is arranged.