What is the image point of (0,-6) after the transformation D 1/2 or y-axis?

a. <-13/2,-13/2>

The projection of a vector u onto another vector v is given by;

[tex]proj_vu[/tex] = [tex](\frac{u.v}{|v|^2})v[/tex]               ----------------(i)

Where;

u.v is the dot product of vectors u and v

|v| is the magnitude of vector v

Given:

u = <-6, -7>

v = <1, 1>

These can be re-written in unit vector notation as;

u = -6i -7j

v = i + j

Now;

Let's find the following

(i) u . v

u . v = (-6i - 7j) . (i + j)

u . v = (-6i) (1i) + (-7j)(1j)          [Remember that, i.i = j.j = 1]

u . v = -6 -7 = -13

(ii) |v|

|v| = [tex]\sqrt{(1)^2 + (1)^2}[/tex]

|v| = [tex]\sqrt{2}[/tex]

Substitute these values into equation (i) as follows;

[tex]proj_vu[/tex] = [tex][\frac{-13}{(\sqrt{2}) ^2}][i + j][/tex]

[tex]proj_vu[/tex] = [tex]\frac{-13}{2} [i + j][/tex]

This can be re-written as;

[tex]proj_vu[/tex] = [tex]\frac{-13}{2}i + \frac{-13}{2}j[/tex]

[tex]proj_vu[/tex] = [tex]<\frac{-13}{2}, \frac{-13}{2}>[/tex]

Step-by-step explanation:

(2n^6)^3=8n^18 cubic units

Answer:

(2 n Superscript 6 Baseline) cubed = 8 n Superscript 18 cubic units

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

The total amount paid by a member according to this table is

Total Amount Paid = fee + monthly fee(# of months)

Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.

Row 1:

TAP = fee + 15(#months)

135 = fee + 15(4) and

135 = fee + 60 so

fee = $75

Row 2:

165 = fee + 15(6) and

165 = fee + 90 so

fee = $75

Row 3:

255 = fee + 15(12) and

255 = fee + 180 so

fee = $75

Apparently, the fee is $75.

Answer:

A =196 m^2

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = 14^2

A =196 m^2

Answer:

b. pi over 3 ig~~~~~~~~~~~~~~~

Answer:

(b) pi over 3 is correct

Step-by-step explanation:

EDGE 2022

Answer:

1) 720

2) 540

3) x = -1

4) x = 10

Step-by-step explanation:

The formula for finding the sum of interior angles in a polygon is the following,

[tex]S=180(n-2)[/tex]

Where (S) represents the sum of interior angles, and (n) represents the number of sides.

1)

The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]

2)

This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]

3)

The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.

(55) + (x + 36) + (90) = 180

Simplify,

181 + x = 180

Inverse operations,

181 + x = 180

x = -1

4)

The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.

<F + <G = <FEZ

Substitute,

(4x) + (-5 + 7x) = 105

Simplify,

4x - 5 + 7x = 105

11x - 5 = 105

Inverse operations,

11x - 5 = 105

11x = 110

x = 10

Answer:

average revenue

gross profit

total revenue

net profit

marginal revenue

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/2*1/6=1/12 =0.0834 = 8.33%

Answer:

$7.1875

Step-by-step explanation:

$28.75 x .25=7.1875

Answer:

No

Step-by-step explanation:

No. You can see why if you remove the brackets.

y=x^2 - 3x.

A linear function must have x and y with powers of 1. Also it can't something like x^2 - y^2 = 5

x^2 - y^2 = 0 is the only exception I can think of, but that really is a system of equations. If you graph it. you get two equations which cross at 0 and nowhere else.

Answer:

8/15 of an hour

Step-by-step explanation:

Add the fractions together

1/3 + 1/5

Get a common denominator

1/3 *5/5 = 5/15

1/5 *3/3 = 3/15

Add together

5/15 + 3/15 = 8/15

Answer:

8/15

Step-by-step explanation:

1/3 x 5 = 5/15

1/5 x 3 = 3/15

5/15 + 3/15 = 8/15

Answer:

13 1/2

Step-by-step explanation:

9 ÷ 2/3

Copy dot flip

9 * 3/2

27/2

Change from an improper fraction to a mixed number

2 goes into 27 13 times with 1 left over

13 1/2

Answer:

[tex]P(X \geq 8)=22*10^{-4}[/tex]

Step-by-step explanation:

From The Question we are told that

Prob that population is colourblind [tex]P(C)=0.10[/tex]

Sample size [tex]N=25[/tex]

Generally the equation for Number of color blinds is mathematically given by

  [tex]P(X \geq 8)=\sum^{25}_{x=8}(25..x)(0.10)^x(0.90)^25-x[/tex]

  [tex]P(X \geq 8)=22*10^{-4}[/tex]

Answer:

[2, positive infinity)

Step-by-step explanation:

the range is the interval of possible y-values or f(x) values.

for x<0 y is always and only 3.

for x between 0 and 2, y = x² + 2.

it clearly increases with increasing x. so, what is y for the smallest x ? the smallest x here is 0.

y = 0² + 2 = 2

for x larger or equal to 2, y = (1/2)×x + 5.

it again increases with increasing x. the smallest x here is 2.

y = (1/2)×2 + 5 = 1 + 5 = 6.

so, the smallest possible value for y is 2. and then it will approach positive infinity, when x approaches positive infinity. but it can never reach that (only after infinite time and at infinite x, so it is officially undefined), so that the interval is open on that end.

Answer:

I don't know what to say to someone who is a high school diploma Android to the other side of the kingdom of the crystal skull and bones

Answer:

perpendicular slope = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] + 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

The smallest number is 6034579.

Answer:

6034579 hope this helps!!

explanation:

We should keep 6 where it is, then arrange the rest of the numbers from smallest to the greatest.

Answer: The clubs goal is to raise  $436.

Step-by-step explanation:

175%  * x  = 763     where x is the goal  

1.75 *x  = 763

1.75x = 763

x= 436

Answer: 2.9166666666633333333333333333333

Step-by-step explanation:

Answer:

35/12

Step-by-step explanation:

Answer:

49 - 2y

Step-by-step explanation:

y to represent Vanessa's age.

49 decreased by twice Vanessa's age

decreased by means subtract, twice means 2 times

49 - 2y

Answer:

The reasonable amount is $3550 or greater

Step-by-step explanation:

Given

[tex]c=\$50[/tex] ---- shipping fee

[tex]r =\$35[/tex] --- unit selling price

[tex]n \to[/tex] number of orders

[tex]n \ge 100[/tex] ---- domain of order

Required

The reasonable ordering amount

The function for n calculator can be represented as:

[tex]f(n) = r * n + c[/tex]

This gives:

[tex]f(n)=35 * n + 50[/tex]

[tex]f(n)=35n + 50[/tex]

Recall that the domain is: [tex]n \ge 100[/tex]

So, we have:

[tex]f(n)=35n + 50[/tex]   [tex]n \ge 100[/tex]

The reasonable amount of order implies that we calculate the range of the function

[tex]n \ge 100[/tex] implies that the minimum is 100

So:

Substitute 100 for n in [tex]f(n)=35n + 50[/tex]

[tex]f(100) = 35 * 100+50[/tex]

[tex]f(100) = 3500+50[/tex]

[tex]f(100) = 3550[/tex]

So, the range of the function is:

[tex]3550 \le f(n) < \infty[/tex]

Answer:

smallest share = $400

second smallest share = $800

largest share = $1200

Step-by-step explanation:

Let the smallest share = x

amount one friend gets = 2x

second friend gets = 3x

2400 = x + 2x + 3x

2400 = 6x

x = 400

2 x 400 = 800

3 x 400 = 1200

Answer:

x^2 + y^2 = 400

Step-by-step explanation:

The equation for a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2 + (y-0)^2 = 20^2

x^2 + y^2 = 400

Answer:

[tex]\frac{27}{100}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{81}{3}%[/tex]%

Now

It can be written as:

[tex]\frac{81}{3}[/tex]%=[tex]27[/tex]%

27%=[tex]\frac{27}{100}[/tex]

Therefore, common fraction will be [tex]\frac{27}{100}[/tex]

Answer:

2500/3

Step-by-step explanation:

[tex]8\frac{1}{3}[/tex] %

=(8*3+1/3) %

=25/3 %

=25/3 / 100

=25/3 *100/1

=2500/3

Answer:

you have it on the correct answer

Step-by-step explanation:

range is the y values, and its the lowest negetive to the highest positive

Answer:56 degrees

Step-by-step explanation: Using Base Angles Theorem, we can conclude that angle x is 180-62*2, which is 180-124, which is 56 degrees.

Answer:

the answer is x = 56 degrees

and your not finding the side lengths

Step-by-step explanation:

there is 2 62 degrees,

meaning the TOP RIGHT ANGLE OF THE TRIANGLE IS 62 DEGREES if you can't find it in my answer and X IS EQUAL TO THE ANGLE OF 56 DEGREES if you can't read that either

so x = 56

Answer:

cosJ = 40/41

Step-by-step explanation:

cosJ = b/h = 40/√(40²+9²)= 40/41