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2 years ago

Factorize 7√2 k^2 - 10k - 4√2

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

5 0

Answer:

7k√2 - 10k - 4√2

Step-by-step explanation:

Factor the polynomial.

Factor : One of two or more expressions that are multiplied together to get a product.

Polynomial : An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

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Please help me and show your work!!

11Alexandr11 [23.1K]

$\bf \cfrac{\sqrt{250x^{16}}}{\sqrt{2x}}\qquad 
\begin{cases}
250=2\cdot 5\cdot 5\cdot 5\\
\qquad 2\cdot 5\cdot 5^2\\
x^{16}=x^{8\cdot 2}\\
\qquad (x^8)^2
\end{cases}\implies \cfrac{\sqrt{2\cdot 5\cdot 5^2\cdot (x^8)^2}}{\sqrt{2\cdot x}}$

$\bf \cfrac{5x^8\sqrt{2\cdot 5}}{\sqrt{2}\cdot \sqrt{x}}\implies \cfrac{5x^8\underline{\sqrt{2}}\cdot \sqrt{5}}{\underline{\sqrt{2}}\cdot \sqrt{x}}\implies \cfrac{5x^8\sqrt{5}}{\sqrt{x}}\impliedby 
\begin{array}{llll}
\textit{and rationalizing the}\\
\textit{denominator}
\end{array}$

$\bf \cfrac{5x^8\sqrt{5}}{\sqrt{x}}\cdot \cfrac{\sqrt{x}}{\sqrt{x}}\implies \cfrac{5x^8\sqrt{5}\cdot \sqrt{x}}{(\sqrt{x})^2}\implies \cfrac{5x^8\sqrt{5x}}{x}\implies 5x^8x^{-1}\sqrt{5x}
\\\\\\
5x^{8-1}\sqrt{5x}\implies 5x^7\sqrt{5x}$

4 0

3 years ago

Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error

Rom4ik [11]

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.

3 0

2 years ago

Sydney drew segment AC and segment BC to help her use the Pythagorean theorem

kenny6666 [7]

Answer: B

Step-by-step explanation:

The question is asking for you to use the Pythagorean Theorem in order to find the length or line AB.

a^2+b^2=c^2

Since AB is what we are trying to find in this situation it is c. The graphic shown tells us that the length of line CA= (y2-y1) and CB= (x2-x1), these numbers represent a and b in the expression shown above. From here you should implement the information into the equation.

(x^2-x^1)^2+(y2-y1)^2= AB

The next step in finding the product would be to square both sides of the equation. In this case we only need to square the side with the calculation because the variable AB already represents the answer you would calculate. Which leaves us with the answer shown in the image below.

4 0

2 years ago

The area of a rectangular garden is 48.2 square yards. Determine the length of the lawn, if its width measures 4 yards.

Tema [17]

Answer: l=12.05

Step-by-step explanation:

width = 4 yd

Area= 48.2 yd^2

* Therefore the answer is l=12.05.

* Hopefully this helps:) Mark me the brainliest:)

3 0

2 years ago

Solve for d. −8+6=−10+10

Vlada [557]

we need to find d=equation, so:

−8+6=−10+10

-8d=-10k+10-6

-8d=-10k+4

d=(-10k+4)/(-8)

$\begin{gathered} d=\frac{-10}{-8}k+\frac{4}{-8} \\ d=\frac{5}{4}k-\frac{1}{2} \end{gathered}$

So the answer is:

d=(5/4)k-1/2

d=1.25k-0.5

3 0

6 months ago

Factorize 7√​2 k^2 - 10k - 4√2 ​ ​​

Factorize 7√2 k^2 - 10k - 4√2