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4 years ago

How do I solve this problem?

Mathematics

1 answer:

cluponka [151]4 years ago

5 0

$\text {Area of a triangle = } \dfrac{1}{2} \times \text{base} \times \text{height}$

$\text {Area of a triangle = }$

$\dfrac{1}{2} \times \dfrac{2x^2 - x - 1}{x-3} \times \dfrac{2x^2 +2x - 24}{2x + 1}$

$= \dfrac{1}{2} \times \dfrac{(x-1)(2x+1)}{x-3} \times \dfrac{2(x+4)(x-3)}{2x + 1}$

$= (x -1 )(x +4)$

You might be interested in

What is the sum of the first 10 terms of the geometric sequence 4, -12, 36, -144

Oksanka [162]

The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058

The given geometric sequence is:

4, -12, 36, -144

The first term, a = 4

The common ratio,

$r = \frac{-12}{4}\\r = -3$

Since we are looking for the sum of the first 10 terms

The number of terms, n = 10

The sum of the first n terms of a geometric sequence is given as:

$S_n = \frac{a(1-r^n)}{1-r} \\S_n = \frac{4(1-(-3)^{10}}{1-(-3)} \\S_n = \frac{4(1-59049)}{4} \\S_n = -59048$

The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058

Learn more here: brainly.com/question/15626828

3 0

3 years ago

Using dimensional analysis, what unit of time will make the statement true?

frosja888 [35]

The unit of time that will make the statement true is "day"

<h3>What unit of time will make the statement true?</h3>

The conversion equation is given as:

Seconds + Seconds/? * day = seconds

Represent the blank with a variable (x)

So, we have:

Seconds + Seconds/x * day = seconds

Subtract "seconds" from both sides of the equation

So, we have:

Seconds/x * day = seconds

Divide both sides of the equation by "seconds"

So, we have:

1/x * day = 1

Multiply both sides by x

x= day

Hence, the unit of time that will make the statement true is "day"

Read more about time at:

brainly.com/question/17146782

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4 0

2 years ago

When a number is decreased by 40% of itself, the result is 24 what is the number?

DiKsa [7]

Answer: The number is 40.

Step-by-step explanation:

Since we have given that

Let the number be 'x'.

If a number is decreased by 40%.

So, number becomes,

$\dfrac{100-40}{100}\times x\\\\=\dfrac{60}{100}\times x\\\\=0.6x$

According to question, the result becomes 24.

So, our equation becomes,

$0.6x=24\\\\x=\dfrac{24}{0.6}\\\\x=\dfrac{240}{6}\\\\x=40$

Hence, the number is 40.

4 0

3 years ago

Use these digits once,1,2,4,and 8 to get an answer of 0

Ilya [14]

Answer:

(8-(4*2)) / 1 =0

Step-by-step explanation:

(8-(4*2)) / 1 =0

6 0

4 years ago

Read 2 more answers

A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the w

Vanyuwa [196]

Answer:

$A=256.67ft^2$

Step-by-step explanation:

From the question we are told that:

Fan oscillates $\theta=250$

Distance $d=>Raduis\ r=4 feet$

Since

$250\textdegree =180\textdegree +70\textdegree$

Generally the equation for the area A is mathematically given by

$Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector$

$A=A_{sm}+A_{70\textdegree}$

Where

$A_{sm}=\frac{1}{2} \pi r^2$

$A_{sm}=\frac{1}{2} 3.14 4^2$

$A_{sm}=25.12ft^2$

$A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}$

$A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}$

$A_{70\textdegree}=1.55ft^2$

Therefore the area A is given as

$A=A_{sm}+A_{70\textdegree}$

$A=25.12ft^2+1.55ft^2$

$A=256.67ft^2$

4 0

3 years ago