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3 years ago

Perform the indicated operation (x-2)(x-11))

Mathematics

2 answers:

lawyer [7]3 years ago

6 0

Answer:

x^2 - 13x + 22

Step-by-step explanation:

( x - 2 ) ( x - 11)

Start off with the first variable which is the “x”

Then multiply it by the variables in the other binomial

x * x = x^2

x * - 11 = -11x

Then take the -2 and do the same thing

-2 * x = -2x

-2 * -11 = 22

Now the the formula that you would have is: x^2 - 11x - 2x + 22

Simplify and your answer is:

x^2 - 13x + 22

Juli2301 [7.4K]3 years ago

3 0

Answer:

x^2 - 22

Step-by-step explanation:

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3 years ago

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3 years ago

What is the best approximation of the projection of (5,-1) onto (2,6)?

Hatshy [7]

Answer:

Hence, the scalar projection of $\vec a$ onto $\vec b$ = $\frac{\sqrt{10} }{5}$ , and the vector projection of $\vec a$ onto $\vec b$ = $\frac{1}{5} \hat i+\frac{3}{5} \hat j$ .

Step-by-step explanation:

We have given two points $(5, -1)$ and $(2, 6)$ .

Let, $\vec a=5\hat {i}-\hat {j}$ and $\vec b= 2\hat {i}+6\hat{j}$ .

and we have calculate the projection of $\vec a$ onto $\vec b$ .

Now,

For the calculation of projection, first we need to calculate the dot product of $\vec a$ and $\vec b$ .

$\vec a.\vec b=(5\hat {i}-\hat{j}).(2\hat{i}+6\hat{j})$

$=10-6$

$=4$

then, we have to calculate the magnitude of $\vec b$ .

$\mid {\vec {b}}\mid$ = $\sqrt{2^{2}+6^{2} }$ = $\sqrt{40}$ = $2\sqrt{10}$ .

Now, the scalar projection of $\vec a$ onto $\vec b$ = $\frac{\vec a.\vec b}{\mid b\mid}$

= $\frac{4}{2\sqrt{10} }$ $\frac{2}{\sqrt{10} } \times\frac{\sqrt{10} }{\sqrt{10} } =\frac{2\sqrt{10} }{10} = \frac{\sqrt{10} }{5}$

and the vector projection of $\vec a$ onto $\vec b$ = $\frac{\vec a. \vec b}{\mid\vec b \mid^{2} } . \vec b$

= $\frac{4}{40} . (2\hat i+ 6\hat j)$

= $\frac{1}{5} \hat i+\frac{3}{5} \hat j$

Hence, the scalar projection of $\vec a$ onto $\vec b$ = $\frac{\sqrt{10} }{5}$ , and the vector projection of $\vec a$ onto $\vec b$ = $\frac{1}{5} \hat i+\frac{3}{5} \hat j$ .

6 0

3 years ago

R to the 2nd power -6r-8=0

Natasha2012 [34]

R² - 6r - 8 = 0
r² = 7.12
r = -1.12

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3 years ago

Perform the indicated operation (x-2)(x-11))​

Perform the indicated operation (x-2)(x-11))