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3 years ago

Mason answers a question correctly in a trivia game and now has 0 points. The question was worth

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

8 0

Answer:

Mason recieved 15 points for answering the question correctly so that means that he had -15 points before. The points would be at -15 and 0.

antoniya [11.8K]3 years ago

8 0

0 and -15 because he is at 0 after the question so he would have been in the negatives before the question. He would have been at -15 before the question.

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as viewed from Cliff 360 m above sea level the angle of depression of a ship is to 28° how far is the ship from the shore

andrezito [222]

The distance of the ship from the shore is given by:
tan θ=opposite/adjacent
θ=28°
adjacent=x
opposite=360 m

substituting the values in our equation we get:
tan 28=360/x
solving for x we get
x=360/tan 28
x=677.06 m

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3 years ago

F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).

const2013 [10]

Answer:

f(x) * g(x) is 8x^2 + 8x -6

f(x) - g(x) is -2x + 5

Step-by-step explanation:

When finding the answer, we can notice they already give the values for the needed answers.

The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).

The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).

f(x) * g(x)

(2x+3) * (4x-2)

To find the answer, we need to distibute the 2x+3 into 4x-2.

To distribute, we do :

2x * (4x-2) + 3 * (4x-2)

First we distribute the 2x

2x * 4x = 8x^2 and 2x * -2 = -4x

8x^2 - 4x

Next we distibute the 3

3 * 4x = 12x and 3 * -2 = -6

12x - 6

Now we can combine them by adding like terms to get the asnwer:

8x^2 = 8x^2

-4x + 12x = 8x

-6 = -6

The first answer is 8x^2 + 8x -6

Second question:

Since we already know the values for f(x) and g(x), all we have to do is plug in the values.

(2x+3) - (4x-2)

This time, since we are subtracting, all we have to do is subtract like terms.

2x - 4x = -2x

3 - (-2) = 5

The second answer is -2x + 5

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2 years ago

Here is a rectangle ABCD.

lana66690 [7]

Answer:

32%

Step-by-step explanation:

Area of rectangle ABCD = 20 * 30 = 600 Sq cm

After increasing the length and width of the rectangle by 20% and 10% respectively.

New length = 30 + 20% of 30 = 30 + 6 = 36 cm

New width = 20 + 10% of 20 = 20 + 2 = 22 cm

Area of new rectangle = 36*22 = 792 Sq cm

Increase in area = 792 - 600 = 192 Sq cm

Percentage increase in area

= (192/600) *100

= 32%

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3 years ago

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