If f(x) = x - 5, what is the value of x when f(x) = 15? 1 2 10 20 5

In parts (a) through (e) below, mark the given statement as True or False. Justify each answer. All vectors are in set of rea

Oxana [17]

Answer:

(c)

"The given statement is true, by definition of length of a vector $v$ , $||v|| = \sqrt{v\bullet v}$ "

Step-by-step explanation:

(a) $v \bullet v = || v ||^2$

That is completely correct Remember that if $v = (x_1,x_2,x_3)\\$ then

$v \bullet v = x_1*x_1+x_2*x_2+x_3*x_3 = x_1^2+x_2^2+x_3^2 = ||v||^2$

Therefore the correct answer would be (c).

"The given statement is true, by definition of length of a vector $v$ , $||v|| = \sqrt{v\bullet v}$ "

5 0

3 years ago

What is the equation for a line passing through (-2,3) and perpendicular to y= -1/2+1 ?

nata0808 [166]

Answer:

$y=2x+7$

Step-by-step explanation:

The correct question is

what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2x+1 ?

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=-1/2

so

the opposite reciprocal is m=2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=2\\point\ (-2,3)$

substitute

$y-3=2(x+2)$

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-3=2x+4$

$y=2x+4+3$

$y=2x+7$

3 0

3 years ago

A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh

Rainbow [258]

The difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet

Read more about depth at:

brainly.com/question/17147411

#SPJ1

8 0

1 year ago

Find the volume of a cube with the given side: 2cm

Roman55 [17]

Volume is length x width x height.

A cube has the same length, width and height.

The volume of the cube is 2 x 2 x 2 = 8cm

Answer: 8 cm

Happy to help!

8 0

3 years ago

Read 2 more answers

BRAINLIESTTT ASAP! PLEASE HELP ME :)

sergiy2304 [10]

Answer:

$\displaystyle Maximum: 11$

Step-by-step explanation:

Convert this Quadratic Equation to Vertex Form by completing the square, $\displaystyle y = a[x - h]^2 + k$ :

$\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum$

So as you can see, each time we broke the equation down, we used the formula $\displaystyle [\frac{b}{2}]^2$ to complete the square.

** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.

I am joyous to assist you anytime.

4 0

3 years ago