A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 comma 2, and D at negative 2 comma 6. If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. Help please

Answer:

sin3A/sinA-Cos3A/CosA=2​

taking LCM

= Sin3A.CosA - Cos3A. SinA

     SinA . CosA

= Sin(3A-A)

  SinA . CosA

=  Sin2A          

   SinA . CosA

= 2 SinA. CosA

    SinA . CosA

=2

Step-by-step explanation:

The equation of a line in slope intercept form with slope (-2/3) and point (10,-5) is y = (-2/3) - 1.

The slope is the rate of change of y-axis with respect to x-axis.

We know that equation of a line in slope intercept form is y = mx + b.

To find the y-intercept b we will substitute the value of m and point (x,y).

∴ The equation of the line in slope intercept form with slope -2/5 and points (10,-5) is,

-5 = -(2/5)×10 + b.

-5 = -4 + b.

b = -1.

So the given equation of the line is y = (-2/3)x - 1.

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Answer:

a right triangle has at lease on 90 degree angle

Step-by-step explanation:

Answer:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

Step-by-step explanation:

i got 100% on edg. hope this helps!

Given :

On a number line, suppose the coordinate of A is 0, and AR = 15.

To Find :

the possible coordinates of the midpoint of AR.

Solution :

Their can be two points R which is at a distance of 15 units from the A .

One is -15 and other is 15.

Now, mid-point of A(0) and R(-15) is M (-7/2).

Also, mid-point of A(0) and R(15) is M (7/2).

Therefore, possible coordinates of the midpoint of AR is 7/2 , -7/2.

Hence, this is the required solution.

Answer:

a(30) = 145

Step-by-step explanation:

a(n) = a(1) + (n-1)d

d = 5

a(30) = 0 + (30-1)5

a(30) = 0 + (29)5

a(30) = 0 + 145

a(30) = 145

Using the concept of arithmetic sequence, the value of a30, which is the 30th term of the sequence is 145

The common difference, d = 35 / 7 = 5

The nth term of an arithmetic sequence is obtained using the relation :

a1 = a2 - d = 5 - 5 = 0

Hence,

A(30) = 0 + (30 - 1)5

A(30) = 0 + 29(5)

A(30) = 145

Therefore, the value of the 30th term of the sequence is 145.

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Answer:

15

Step-by-step explanation:

multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15

Answer:

total cost of all seats : 61,940

Mean : 398

Median : 280 320 400 540 850

mode: no mode

I think this is right.

Answer:

[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]

Step-by-step explanation:

We are given the equation:

[tex]-2x^2-6x+3=0[/tex]

And we want to solve it using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

First, let's identify our coefficients.

The a is the coefficient in front of the x² term, so a = -2.

b is the coefficient in from of the x term, so b = -6.

And c is the constant so c = 3.

Substitute:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(-2)(3)}}{2(-2)}[/tex]

Simplify. -(-6) is just 6. (-6) squared is 36. -4(-2)(3) is 24. And 2(-2) is -4. So:

[tex]\displaystyle x=\frac{6\pm \sqrt{36+24}}{-4}[/tex]

Add:

[tex]\displaystyle x=\frac{6\pm \sqrt{60}}{-4}[/tex]

Simplify the square root:

[tex]\sqrt{60}=\sqrt{4\cdot 15}=\sqrt{4}\cdot\sqrt{15}=2\sqrt{15}[/tex]

So:

[tex]\displaystyle x=\frac{6\pm 2\sqrt{15}}{-4}[/tex]

Simplify by dividing everything by 2:

[tex]\displaystyle x=\frac{3\pm \sqrt{15}}{-2}[/tex]

Move the negative in the denominator to the numerator. The plus/minus sign will not change.

[tex]\displaystyle x=\frac{-3\pm \sqrt{15}}{2}[/tex]

So, our zeros are:

[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]

Answer:

All other costs must be $1,550 or less

Step-by-step explanation:

1300+350=1650

3200-1650=1550

Using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.

So, cost C must be no more than:

Then, the remaining money will be:

Therefore, using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.

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Answer:

Step-by-step explanation:

On the map, the school and the sports park are 12 centimeters apart.

scale 4cm : 5km

find;

What is the actual distance between the school and the park?

solution:

        12 cm     =   4 cm                  

          X km            5 km

cross multiply:

4 cm X km = 12 cm (5 km)

X =  12 cm (5 km)

             4 cm

X = 15 km

therefore, the distance between the school and the sports park is 15 km

Answer:

120=2*2*2*3*5

160=2*2*2*2*2*5

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

1.   120 = 12  * 10

= 2*2*3*2*5

= 2*2*2*3*5

2.  160 = 10 * 16

= 2*5*2*2*2*2

= 2*2*2*2*2*5

in 4 - (x + 2) < -3(x + 4), x < -7

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x<-7

Step-by-step explanation:

Use inverse operations to solve

4 - ( x + 2 ) < -3 ( x+ 4)

first distribute the (-) sign and the (-3)

4 -x -2 < -3x -12

simplify

2 -x < -3x -12

simplify again, with inverse operations

2 -x < -3x -12

+3x    +3x

2 + 2x < -12

-2           -2

2x < -14

/2       /2

x<-7

Answer:

It made commerce possible on a vast scale. In addition to transporting western food crops and raw materials to East Coast markets and manufactured goods from East Coast cities to the West Coast.

Step-by-step explanation:

Answer:

There are multiple reasons, it made it easier to get new places to live instead of in a wagon or by foot. (in case there is more to the question) helped people and stuff needing to be transported get there quicker and easier. Building the railroads gave people jobs who need it to take care of them and there family.

Step-by-step explanation:

Answer:

You have got

to start thinking bee, my friend.

- Thinking bee!

- Me?

Hold it. Let's just stop

for a second. Hold it.

I'm sorry. I'm sorry, everyone.

Oan we stop here?

I'm not making a major life decision

during a production number!

All right. Take ten, everybody.

Wrap it up, guys.

Step-by-step explanation:

You have got

to start thinking bee, my friend.

- Thinking bee!

- Me?

Hold it. Let's just stop

for a second. Hold it.

I'm sorry. I'm sorry, everyone.

Oan we stop here?

I'm not making a major life decision

during a production number!

All right. Take ten, everybody.

Wrap it up, guys.

175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that The Booster Club has a goal of raising at least $300.

The Club has already raised $175

The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.

175+3t≥300

One hundred seventy five plus three times t greater than or equal to three hundred.

We have used greater than or equal to in inequality because in data given atleast.

Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

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Answer:

357,340

Step-by-step explanation:

Locate the tens place:

357,335

Check the number to the right:

357,335

If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.

The number next to the tens place is a '5'. We round up.

357,335 ≈ 357,340

Hope this helps.

Answer:

357340

Step-by-step explanation:

Answer:

so first put a dot on -5 on the y axis then go up 4 and to the right 1 and put a second dot and connect them

Answer:

0.21

Step-by-step explanation:

divide the length value by 100  21 centimeters in meters is 0.21

Answer:

0.21 its the k12 test.

Step-by-step explanation:

Answer:

hours = 5 x dollars

Step-by-step explanation:

Because, for every hour you earn 5 dollars.

Answer:

a=-4

Step-by-step explanation:

1) Isolate x for 2x+y=3 which will give us x=3-y/2

2) Substitute 3-y/2 in the equation -8x+ay=-11

3) Then we simplify

4) Isolate for y

5)Then we simplify in order to get -4

Answer:

F /r = k

Step-by-step explanation:

F=kr

Divide each side by r

F/r=kr/r

F /r = k

Answer:

1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%

2. Probability of finishing the lecture early = 50% (0.3 + 0.2).

3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)

Step-by-step explanation:

a) Data and Calculations:

            Probability   Early Ending    Expected Probability

Coffee     0.7               0.3                     0.21

Tea          0.2               0.2                    0.04

Water      0.1                

b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water.  The combined probability of the three actions is always 1.  The expected probability is the weighing of the probabilities with another event, ending the lecture early.  This is obtained by multiplying their respective probabilities.

Step-by-step explanation:

Answer in image below press on it

The answer is zero

-n+n=0 Always

Answer:

Your answer would be 52,000