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2 years ago

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Mathematics

1 answer:

Reptile [31]2 years ago

4 0

value of x approaches infinity then the value of the function also approaches infinity. Then the correct option is B.

<h3>What is a linear equation?</h3>

Linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.

The function is given below.

$\rm f(x) = \dfrac{(x- 2)( x + 1)}{x+ 1}$

The function can be written as

f(x) = x - 2

The function is a linear function.

If the value of x approaches infinity then the value of the function also approaches infinity.

Learn more about linear equations here:

brainly.com/question/27465710

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What additional information would you need to prove by the HL theorem?

Butoxors [25]

Answer:

<em>Answer:</em> <em>A</em> $\overline{TM}\cong \overline{OR}$

Step-by-step explanation:

The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.

Both triangles are right because they have an internal angle of 90°, so the second condition is also met.

Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.

One of these two conditions should be met:

Side TM is congruent to side OR, or

Side MO is congruent to side RT.

From the available options, only the first is correct.

Answer: A $\mathbf{\overline{TM}\cong \overline{OR}}$

8 0

3 years ago

Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq

Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

We can assume that the area is a circle. We also know that the formula for the population density is given by:

$D= \frac{P}{A}$

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

$A = \pi X^2$

With X the radius of the circle

And then the populationd density become:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

6 0

4 years ago

The length of the base of a scalene triangle is 22 meters and the height is 14 meters. Find the area of the scalene triangle

Nezavi [6.7K]

Answer:

Area is 154 square meters

Step-by-step explanation:

Well lets think about this

If I take a rectangle and cut it into half diagonally I would get 2 triangles right?

So if I have 2 triangles of the same height and base I can make a rectangle

to find the area of a rectangle I do length times width

So lets take our scalene triangle and multiply our base with its width and then divide by 2

22*14 = 308

308/2 is 154

5 0

3 years ago

I need help with this question I’ll give 15 points

weeeeeb [17]

Answer:

Calculating (5 x 2) violates the order of operations

Step-by-step explanation:

According to the order of operations, multiplies all have equal priority. Therefore, they must be evaluated left to right, not right to left. Evaluating (5 x 2) first is incorrect, and instead (9 x 5) should be calculated first.

3 0

3 years ago

Read 2 more answers

Write -2x^2 (-5x^2 + 4x^3) in standard form

saul85 [17]

-2x·-2x·(-5x·-5x+4x·4x·4x) Basically, you write out the number depending on the exponent. So if you have a power/exponent of 3, you write it out multiplied by itself 3 times. Hope this helps!

7 0

3 years ago