Which graph does NOT represent a function? <br> Please I need an answer

Find the linear combination form of the vector v, where |v|=400 and θ= -60 degrees

ankoles [38]

Answer:

200 in the x-direction by -346 in the y-direction

Step-by-step explanation:

This vector lies in Quadrant IV.

The horiz. component is 400 cos (-60°) = 400(0.5) = 200, and

the vertical comp. is 400 sin (-60°) = 400(-0.866) = -346

The combination form is 200 in the x-direction by -346 in the y-direction, or (as a vector) <200, -346>

6 0

3 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,-3) and (2,3)

Elina [12.6K]

Answer:First, you must find the midpoint of the segment, the formula for which is

(

x

1

+

x

2

,

y

1

+

y

2

)

. This gives

(

−

5

,

3

)

as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula

y

2

−

y

1

x

2

−

x

1

, which gives us a slope of

5

.

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of

5

is

−

1

5

.

We now know that the perpendicular travels through the point

(

−

5

,

3

)

and has a slope of

−

1

5

.

Solve for the unknown

b

in

y

=

m

x

+

b

.

3

=

−

1

5

(

−

5

)

+

b

⇒

3

=

1

+

b

⇒

2

=

b

Therefore, the equation of the perpendicular bisector is

y

=

−

1

5

x

+

2

.

Step-by-step explanation:

8 0

3 years ago

The mass of the moon rocks 3.5 kilograms. What is the mass of the moon rock in grams

Arte-miy333 [17]

It would equal 3,500 grams

8 0

4 years ago

Read 2 more answers

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

,

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

A 3 inch cube is painted on all sides with RED. The cube is then cut into small cubes of dimension 1 inch. All the cubes are col

frosja888 [35]

Once again the answer is 0. The reason is because the cube is 3 by 3 there is a cube 1 by 1 in the center of the big cube, because it is surrounded by other 1 by 1 cubes that cube doesn't get any sides painted. Therefor there is no possibility for all cubes to have at least one side painted.

3 0

4 years ago

Which graph does NOT represent a function? Please I need an answer