look at attachment below

Answer:

The ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) is in the ratio 2:3

Step-by-step explanation:

Let (x, y) be the coordinates of point of intersection.

Hence x=(a*8+1*3)(a+1) = (8a+3)/(a+1)

and

y = {a*9+1*(-1)}/(a+1)=(9a-1)/(a+1)

Since this point lies on the line x-y-2=0

Hence (8a+3)/(a+1)-(9a-1)/(a+1)-2=0

i.e. 8a+3–9a+1–2(a+1)=0

Or 8a+3–9a+1–2a-2=0

i.e.-3a+2=0

Hence a=2/3

hence the ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) in the ratio 2/3:1

i.e. 2:3

Answer:

a+2b

Step-by-step explanation:

2(a+2b)-a-2b

2a+4b-a-2b

=a+2b

Answer:

Step-by-step explana:2 ( a+ 2b) - a- 2b

=2a + 4b - a - 2b= a + 2b  

Answer:

the answer to the question is - 2 over 7 and - 12 over 7

The  probability that she buys fruit or buys a CD is 1.3.

The  probability that she buys fruit and buys a CD is 0.42.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The  probability that she buys fruit or buys a CD = 0.7 + 0.6 = 1.3

The  probability that she buys fruit and buys a CD = 0.7 X 0.6 = 0.42

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Answer:

1.14male studying biology

Answer: Axioms and Postulates

Step-by-step explanation:

Even if we draw more points on a line, It is an accepted statement of a fact that cannot be disproved - which which these are called Axioms or Postulates; and they are interchangeable.

I hope my explanation helped. Your welcome.

Answer:

The solution to the inequality is [tex](-\infty, 0) \cup (3, \infty)[/tex]

Step-by-step explanation:

We have a product, which is positive if both terms is positive or if both is negative.

Both positive:

[tex]x > 0[/tex]

[tex]x - 3 > 0 \rightarrow x > 3[/tex]

Then the intersection of these two is: [tex]x > 3[/tex]

Both negative:

[tex]x < 0[/tex]

[tex]x - 3 < 0 \rightarrow x < 3[/tex]

Then the intersection of those two is: [tex]x < 0[/tex]

Then:

Union of two solutions:

[tex]x < 0[/tex] or [tex]x > 3[/tex]

Then

[tex](-\infty, 0) \cup (3, \infty)[/tex]

Answer:rectangular

Step-by-step explanation:

Answer:

TRIANGULAR

Step-by-step explanation:

A prism is a triangular-shaped piece of glass. The white light that reaches the prism contains all of the colors of the visible spectrum even though you can’t see them. As the white light passes through the edge or boundary of the prism, the light waves refract. Each of the different wavelengths contained in the white light refracts differently and results in a different color. The white light is broken up by the prism into all the colors of rainbow. The longest wavelength bends (refracts) the least and is red. The shortest wavelength bends the most and is violet.

Trường công nghiệp hả:’)

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

[tex]\large\textsf{Formula:}[/tex]

[tex]\mathsf{\dfrac{Sum\ of\ all\ terms}{Total\ number\ of\ values\ in\ the\ data}= your\ mean/average}[/tex]

[tex]\mathsf{\dfrac{140+96+13}{3}}[/tex]

[tex]\mathsf{140+36+13}[/tex]

[tex]\mathsf{140 + 96 = \bf 236}[/tex]

[tex]\mathsf{236 + 13}[/tex]

[tex]\mathsf{ = \bf 249}[/tex]

[tex]\mathsf{\dfrac{249}{3}}[/tex]

[tex]\mathsf{= \bf 83}[/tex]

[tex]\boxed{\boxed{\large\textsf{Possible answer: \huge \bf 83}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your your day!}[/tex]

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

Answer:

0.

Step-by-step explanation:

I am assuming you want to evaluate

(sin10+cos10)²(1-sin20)-cos²20

That evaluates to 0.

9514 1404 393

Answer:

  (b)  3h^-8·k^10

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

  [tex]\dfrac{15h^{-4}k^{15}}{5h^4k^5}=\dfrac{15}{5}h^{-4-4}k^{15-5}=\boxed{3h^{-8}k^{10}}[/tex]

Answer:

C

Step-by-step explanation:

I don't actually know how to explain it but,

Q1=43.5

Q2=44

Q3=48.5

Sorry, I can't help more.

Answer:

  C  is your answer

Step-by-step explanation:

Answer:

C.4/9

Step-by-step explanation:

You add the black marbles, blue marbles, and the white marbles together, which equal 18. Out of the 18 marbles, 8 of them are white so it would be 8/18.

but you have to simplify it. 8 and 18 have 2 as the greatest common factor. 8 divided by 2 is 4 and 18 divided by 2 is 9. Finally its 4/9 since you cant simplify it even more.

Answer:

A. $ 17.14 million.

Step-by-step explanation:

Profit:

The profit, in millions of dollars, on year x, is given by:

[tex]y(x) = -0.34x^2 + 4.43x + 3.46[/tex]

Year 8

This is y(8). So

[tex]y(8) = -0.34(8^2) + 4.43(8) + 3.46 = 17.14[/tex]

$17.14 million, option A.

Answer:

1 ft^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the base and h is the height

A = 1/2 ( 3) * ( 2/3)

A = 3/2* 2/3

A =1

Answer:

1 ft^2

Step-by-step explanation:

The formula for the area of a triangle is as follows, a=b*h*1/2

Now, let's plug in the values to match your question. A=3*2/3*1/2

Lastly, solve. 3*2/3=6/3=2. Then divide 2 by 1/2=1.

Add the unit to make it 1 ft^2

Hope this helps!

Answer:

105 miles / hour for 1 hour

130 miles / hour for 5 hours

Step-by-step explanation:

Part A

Part B

plane Part A: x = 105 *y

Plane Part B: 755 - x = 130*(6 - y)

Put 105*y into the equation for plane B

755 - 105*y = 130*(6- y)                            Remove brackets on the the right.

755 - 105y = 780 - 130y                           Add 130y to both sides

755 - 105y + 130y = 780                          Combine left

755 + 25y = 780                                      Subtract 755 from both sides

25y = 780 - 755                                      

25y = 25                                                  Divide by 25

y = 25/25

y = 1

The plane travelled 1 hour at 105 mile / hour

The plane travelled 5 hour at 130 mile / hour

Check

1 hour for a distance of 1 hr * 105 mph =  105 mile

5 hour for a distance of 5 hr*130 mph  = 650 miles

Total distance =                                          755 miles

Remark

This is a very neat problem. I don't think I've ever seen this variation. It is a little long, but it is well worth your time.

Answer:

A

Step-by-step explanation:

Answer:

it must be 5:4..I'm not sure.

Answer:

[tex]16:25[/tex]

Step-by-step explanation:

The duplicate ratio of any ratio [tex]x:y[/tex] is [tex]x^2:y^2[/tex]. Therefore, the duplicate ratio of 4:5 is equal to [tex]4^2:5^2=\boxed{16:25}[/tex]

Answer:

7

Step-by-step explanation:

Given

RT=29

RS=2x+1

ST=6x+4

Now,

From the figure attached

RT=RS+ST

29=2x+1+6x+4

29=8x+5

29-5=8x

24=8x

x=3

Now,

Length of RS can be calculated as:

RS=2x+1

RS=2(3)+1

RS=7

Answer is 7

Answer:

To show that A has a supremum is given as,

Step-by-step explanation:

Because A is that the set of all letters from the dictionary starting with the letter 'a'. And as after set A, there'll be a group containing all the opposite words .. so there exists some x during a such every other letter during a comes before it. So it's none aside from a word starting with the letter b therefore the supremum of the set A is letter b.

Answer:

a=1, b=9 and c= 5

Step-by-step explanation:

9/11 divided by 5/11

= 9/11 * 11/5

11 gets cancelled

=9/5

it can also be written as 1* 9/5

Hence here a=1, b=9 and c= 5  

Please mark me as brainliest.

Answer:

$50 dollars saved

Step-by-step explanation:

Given

[tex]y = 10x[/tex]

Required

The amount saved after 5 weeks

We have:

[tex]y = 10x[/tex]

Substitute 5 for x

[tex]y = 10*5[/tex]

[tex]y = 50[/tex]

Step-by-step explanation:

Có 7 mặt phẳng

5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)

Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ

Answer:

C. Subtract 2 from the number of sides and multiply the difference by 180

Step-by-step explanation:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180.

Answer:

Minutes answer B

hope it helps

Answer:

option 2. Minutes

Step-by-step explanation:

The question is how long time the Russian takes.

Except option 2 , the rest of the measurements are for distance/ length.

The unit circle is best suited for dealing with angles and trigonometric functions of multiple angles, right triangles are best for finding the lengths of the sides of triangles with a right angle, and trigonometric identities are best for simplifying or manipulating trigonometric expressions.

Each tool has its own strengths and weaknesses and is better suited for certain types of problems.

Unit Circle is a powerful tool used to relate angles to trigonometric functions. It is particularly useful when dealing with angles in radians, as it allows for easy conversion between radians and degrees. The unit circle is also useful when dealing with trigonometric functions of multiple angles, such as sine and cosine of the sum or difference of two angles.

A good example will be if we want to find the exact value of sin(π/6), we can use the unit circle to visualize the angle π/6, which corresponds to 30 degrees. The unit circle tells us that at this angle, sin(π/6) = 1/2.

Right triangles are useful when we have a right angle in the triangle, as they allow us to use the Pythagorean theorem and trigonometric ratios to find the lengths of the sides of the triangle. Right triangles are particularly useful when we know one angle and one side length, as we can use trigonometric ratios such as sine, cosine, and tangent to find the lengths of the other sides.

If we have a right triangle with an angle of 30 degrees and a hypotenuse of 2, we can use the sine ratio to find the length of the opposite side. sin(30) = opposite/hypotenuse, so opposite = sin(30) * 2 = 1.

Trigonometric identities are useful when we want to simplify or manipulate trigonometric expressions. These identities are derived from the definitions of the trigonometric functions and can be used to simplify complex expressions or prove trigonometric identities.

For example, we can use the identity:

sin²(x) + cos²(x) = 1

to simplify the expression

sin²(x) - cos²(x).

We can rewrite this expression as:

sin²(x) - cos²(x) = sin²(x) + (-1)*cos²(x)

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