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11Alexandr11 [23.1K]
2 years ago
15

Taylor's grandpa has given him a rare stamp

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
4 0

Step-by-step explanation:

i don't understand the question ..........

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The vertices of a triangle are A(4, 1), B(9, 1), C(2, 5). What is the area of this triangle.
kiruha [24]

Hey there!

\large\boxed{10u^2}

Formula for the area of a triangle is (1/2)bh.

Base of this triangle is 5, height is 4.

Image attached.

Plug values into the formula:

A = (1/2)(5)(4)

Simplify.

A = (1/2)(20)

A = 10

Area of the triangle is 10 units².

Hope this helps!

6 0
3 years ago
Read 2 more answers
Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equation
Sindrei [870]

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

                           A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

Download docx
3 0
3 years ago
- You lose three points each time you answer
Ket [755]

Answer: The answer is -24 if you start at 0 points

Step-by-step explanation:

3 x 8 = 24 if it starts at zero put a negative symbol (-) to 24.

7 0
3 years ago
HELP! COME TO THIS QUESTION!!!!
marissa [1.9K]

Answer:

1: False.

2: False.

3: True.

4: False.

5: False.

6: False.

Step-by-step explanation:

:)

:)

:)

Hope this helps!

8 0
2 years ago
The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor? That’s
satela [25.4K]

Answer:

The divisor and dividend have the same signs.

Step-by-step explanation:

Let's look at all of the possible outcomes of dividing with different signs.

Positive / positive = positive

Positive / negative = negative

Negative / positive = negative

Negative / negative = positive

We can see that whenever the signs are the same, the quotient is positive.

6 0
3 years ago
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