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2 years ago

A school district is formed by a triangle web side measures 48 km 55 km and 80 km classify the triangle

1 answer:

8 0

Classify the triangle? In other words, state the type of triangle we have here: right, acute or obtuse.

If the triangle is a right triangle, then 48^2+55^2=80^2 by the Pythagorean Theorem. Let's check that out: We get 5329 = 6400, which is false. So this triangle is not a right triangle.

For this to be an obtuse triangle, 48+55 would have to be greater than 80. That's not the case here. Thus, the triangle is ACUTE.

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2.98 times 10 to the 3rd power in standard notation

stiks02 [169]

Answer:

2980

Step-by-step explanation:

2.98*10^3 = 2980

3 0

3 years ago

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Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7

larisa86 [58]

Answer:

The two correct options are:

The first term, 5x³, can be eliminated

The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Explanation:

The degree of an expression is given based on the highest power in the expression

The given expression is:

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that the degree of the expression is 3

A quadratic function is a function of degree 2. This means that the highest degree in the expression (function) must be 2

Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

This can be done by 2 methods:

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

Comparing the above with the given options, we can conclude that the two correct options are:

- The first term, 5x³, can be eliminated

- The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Hope this helps :)

6 0

3 years ago

Read 2 more answers

When the smaller of two consecutive integers is added to two times the larger, the result is 35. Find the integers.

Aleonysh [2.5K]

x+2(x+1)=35

x+2x+2=35

3x=35-2=33

x=33/3=11

smaller number=11

larger number=11+1=12

4 0

3 years ago

3x+2y>6 x-y<1 graphing and shading

Taya2010 [7]

$3x + 2y > 6x - y < 1$

3 0

2 years ago

7(4x - 2) - 4(2x - 8)

vesna_86 [32]

Answer:

20x + 18

Step-by-step explanation:

We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.

In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:

7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14

In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:

4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32

Now, we have:

28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18

The answer is 20x + 18.

6 0

2 years ago

Read 2 more answers