4. Line r is mapped onto line m by a dilation centered at the origin with a
scale factor of 4. The equation of line r is 6x – 3y = 12. What is the
equation for line m?

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length [tex]5\sqrt{3}[/tex]. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is [tex]5\sqrt{3}[/tex].

[tex]\tan(\theta)=\frac{5}{5\sqrt{3}}[/tex]

[tex]\tan(\theta)=\frac{1}{\sqrt{3}}[/tex]

[tex]\theta=\tan^{-1}(\frac{1}{\sqrt{3}})[/tex]

[tex]\theta=30[/tex]

So 90-30=60.

The answer therefore 60+90=150.

Answer:

D 150 degrees

Step-by-step explanation:

got it right on edge

Answer:

761090000

Step-by-step explanation:

10⁸ = 100000000

7.6109 * 100000000 = 761090000

Answer:

761090000

Step-by-step explanation:

=7.6109×10^8

=761090000

ANS

Answer:

Step-by-step explanation:

my guessing skills be like y=-3x+1

Answer:

Pesa 1.088kg

Step-by-step explanation:

Peso jarra vacía --> 0.64kg

Peso jarra llena de agua --> 1.728kg

Peso agua = peso jarra vacía - peso jarra llena

Peso agua = 1.728kg - 0.64kg = 1.088kg

Peso agua= 1.088kg

Answer:

1,908

Step-by-step explanation:

Answer:

T = 0.50m + 3.5p

Step-by-step explanation:

if T is the total cost and m is the miles driven and you have a fee of $3.50, the equation would be 3.50 + 0.50m = T which can be written like that or re written as T = 0.50m + 3.5p.

hope this helps :)

Answer:

1

Step-by-step explanation:

1st way: We can find the slope of the line by plugging the two points into the slope formula. If you do, slope would be (-3/2-3/2)/(-3/2-3/2) which simplifies to -3/-3 which is 1. The slope is 1.

2nd way: You can just use logic to figure it out because since the x and y in both of the points are equal to each other, we know that the slope has to be 1.

Answer:

It is 1. You would put one in the positive section of the line graph, and put 1 in the negative section of the line graph.  ≥ × ≤`

Step-by-step explanation:

≥ × ≤`

Answer:

102 degrees

Step-by-step explanation:

Since the two angles are same side interior that would mean they sum up to 180 degrees.

180-78=102 degrees

hoped this helped :)

Answer: C is no and the others are yes.

Step-by-step explanation:

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.

Answer:

fr

Step-by-step explanation:

Answer:

4n r+

Step-by-step explanation:

Try using calculator cause I seen this before.

Answer:

it is (8;1)

Step-by-step explanation:

Answer:

(8, 1)

Step-by-step explanation:

When a point undergoes a reflection across the y-axis, it follows the following transformation:

(x, y) --> (-x, y)

(8, 1) --> (-8, 1)

Answer:

nhi pta... pdhai dhang se kiya kro

The average rate of change over an interval is the same as the slope between those two values.  The formulate for slope is:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

You are given the x values: x2=3 and x1=-9.  Plug in these x values to g(x) find the y values:

g(3)=3^2+5(3)-2=9+15-2=22

g(-9)=(-9)^2+5(-9)-2=81-45-2=34

Now, you can solve for m:

m=(22-34)/(3--9)

m=-12/12

m=1

Hope this helps!!

the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

The average rate is the change of expression with respect to time.

Given the expression g(x)=x^2+5x-2 within the interval -9 ≤ x ≤ 3​

At the lower interval x = -9

g(-9) = (-9)²+5(-9)-2

g(-9)= 81-45-2

g(-9) = 34

At the upper interval x = 3

g(3) = (3)²+5(3)-2

g(3)= 9+15-2

g(3) = 22

The average change of the function will be expressed as:

[tex]\frac{\triangle y}{\triangle x} =\dfrac{g(b)-g(a)}{b-a}\\ \frac{\triangle y}{\triangle x} =\dfrac{g(3)-g(-9)}{3-(-9)}\\\frac{\triangle y}{\triangle x} =\dfrac{22-34}{12}\\\\\frac{\triangle y}{\triangle x} =\dfrac{-12}{12} \\\frac{\triangle y}{\triangle x} =-1[/tex]

Hence the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

Learn more here: https://brainly.com/question/7590674

Answer:

About 6.44 kilometers

Step-by-step explanation:

I mile is approximately 1.61 kilometers, so 4 miles would be 1.61 · 4 = 6.44 kilometers.

Hope this helps!

Answer:

5x+9−2x+13=67

3x+9+13=67

3x+22=67

3x=45

x=15

Mark brainliest!!

Step-by-step explanation:

3x + 22 = 67

3x = 67 - 22

3x = 45

x = 45/3

put the this is ur calculator and u will get the answer

316800

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope of a line can be calculated:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]

We know that the slope is 7, so we want to solve for [tex]y_2[/tex]

[tex]\frac{n-(-4)}{5-4} = 7\\\frac{n+4}{1} = 7\\n+4 = 7\\n = 3[/tex]

Answer:

D. all real numbers

Answer:

10 squared

Step-by-step explanation:

Answer: 52

Step-by-step explanation:

6*6 = 36 4*4 = 16

36+16=52

==============================================

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

--------------------------

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

Answer:

Step-by-step explanation:

Answer:

it means that John GAINED $163 by selling stocks.

Step-by-step explanation:

Answer:

12-foot shadow

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

f^-1(x) = (x+2)/3

Step-by-step explanation:

F(x) = 3x-2

substitute x for y, and f(x) for x:  x = 3y - 2

Solve for y:  x + 2 = 3y

y = f^-1(x) = (x+2)/3