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2 years ago

Write an expression for the perimeter of the triangle shown below:

Mathematics

1 answer:

AveGali [126]2 years ago

6 0

Answer:

The answer is 0.1x-16

Step-by-step explanation:

-3.4x+3x+.5x=0.1x and -25+9 is -16 which is 0.1x-16

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Please help solve for x..

aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

$x^{100}-4^x \cdot x^{98}-x^2+4^x=0$

Factor out -1:

$\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0$

Divide both sides by -1:

$\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0$

Rearrange the terms:

$\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0$

$\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:$

$\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0$

Factor the first two terms and the last two terms separately:

$\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0$

Factor out the common term $(x^{98}-1)$ :

$\implies (4^x-x^2)(x^{98}-1)=0$

<u>Zero Product Property</u>: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the <u>Zero Product Property</u>, set each factor equal to zero and solve for x (if possible):

$\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}$

Therefore, the solutions to the given equation are: x = 1 or x = -1

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3 0

1 year ago

73 and 4.4 x 10 to the 6th power

Lubov Fominskaja [6]

Answer:

4,400,073

Step-by-step explanation:

8 0

2 years ago

Jennifer bought a printer that cost $240. there was a 7% sales tax on the printer. how much sales tax did jennifer pay?

lilavasa [31]

Divide 7% into $240 dollars and hat should get you your answer.
hope this helps!

5 0

2 years ago

Read 2 more answers

Someone please help asap!!!!! difference of squares

AnnZ [28]

Answer:

The answer to your question is: the last option

Step-by-step explanation:

m² - 6m + 6m -36

Simplify like terms m² - 36

Factor (difference of squares) (m + 6) (m - 6)

4 0

3 years ago

Which of the following is an arithmetic sequence? -7/11 6/11 -5/11 4/11....

Anastasy [175]

Answer:

the right answer is $\frac{3}{4} ,-\frac{3}{5},- \frac{3}{6} ,-\frac{3}{7}$

Step-by-step explanation:

to find the reason for the sequence, the following formula must be used;

q = t2 / t1

where t2 is equal to the second value of the sequence and t1 to the first value.

q= t2/t1

q = $\frac{-\frac{3}{5} }{-\frac{3}{4} } = \frac{12}{15} =\frac{4}{5}$

8 0

3 years ago