△PQR is rotated 180° about the origin. What is the coordinate for Q' ?



(3, 2)


(2, -3)


(-3, 2)


(-2, 3)

Part: 2

△PQR is reflected across the y-axis. What is the coordinate for R' ?



(-3, -4)


(-4, 3)


(4, -3)


(3, 4)

Answer:

t≈ 8

Step-by-step explanation:

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

Compound interest formula

A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12

A=109700P=97000r=0.016n=12

Given values

109700=

109700=

\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}

97000(1+  

12

0.016

​  

)  

12t

Plug in values

109700=

109700=

\,\,97000(1.0013333)^{12t}

97000(1.0013333)  

12t

Simplify

\frac{109700}{97000}=

97000

109700

​  

=

\,\,\frac{97000(1.0013333)^{12t}}{97000}

97000

97000(1.0013333)  

12t

​  

Divide by 97000

1.1309278=

1.1309278=

\,\,1.0013333^{12t}

1.0013333  

12t

\log\left(1.1309278\right)=

log(1.1309278)=

\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)

log(1.0013333  

12t

)

Take the log of both sides

\log\left(1.1309278\right)=

log(1.1309278)=

\,\,\color{blue}{12t}\log\left(1.0013333\right)

12tlog(1.0013333)

Bring exponent to the front

\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=

log(1.0013333)

log(1.1309278)

​  

=

\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}

log(1.0013333)

12tlog(1.0013333)

​  

Divide both sides by log(1.0013333)

92.3402971=

92.3402971=

\,\,12t

12t

Use calculator

\frac{92.3402971}{12}=

12

92.3402971

​  

=

\,\,\frac{12t}{12}

12

12t

​  

Divide by 12

7.6950248=

7.6950248=

\,\,t

t

Answer/Step-by-step explanation:

Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.

PS;  PLATO does not have an answer this is my personal answer since I am also on this assignment.

Sorry if this response is late! Hope you did well! :)

The coordinates of the reflected images match the actual results because of the following reason.

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .

Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.

and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.

but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.

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Answer: B

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

2/3, 1/5

10/15 + 3/15 - find a common denominator

13/15 - add fractions, simplify if possible (in this case it is already simplified)

Answer: 3.33miles

Step-by-step explanation:

given data:

distance covered in first 15 minutes = 10 miles

time spent buying gas and some snacks = 10mins.

= 10/15 * (15 –10 )

= 3.33miles

jacob has traveled 3.3miles between 10 and 15 minutes.

Answer:

3.33 miles!

Step-by-step explanation:

Answer:

3.35 × 10^6

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. (x-3)(x+8)

x^2+5-24

2. (-3x+2)(4x+5)

-12x^2-7x+10

3. (x+4)(x-4)

x^2-16

4. (x+5)^2

x^2+10x+25

5. (2x-7)^2

4x^2-28x+49

6. (x-7)(x+7)

x^2-49

7. (5x-1)(2x+4x-3)

30x^2-13x+3

8. (3x^3+7x^2+7x+10

Answer:

3 hours for landscaping and 9 hr for babysitting

Step-by-step explanation:

So take x to be babysitting and y to be landscaping

The equation will be 7x+11y=96

$7 for the baby sitting and $11 for the landscaping and 96 for the total

So then it says 3 times as many hours than landscaping so x equation will look like this x=3*y

So replace the terms - 7*(3y)+11y=96

Simplify (7*3)y+11y=96

Simplify more 21y+11y=96

You get 32y=96

Divide both sides by 32 to have y only 32y/32=96/32

You will get y=3

So landscaping will be 3 hours and it says that babysitting is 3 times so multiply 3 you get 9

So landscaping is 3 hours and babysitting is 9 hours

Hope this help

(It may be wrong so if it is im sorry :( )

Answer:3 hours for landscaping and 9 hr for babysitting

Step-by-step explanation:

Answer:

70 x 1800 = 126000=1.26 x 16^5

The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

70 and 1.8 × 10³

The product of 70 and 1.8 × 10³ expressed in scientific notation will be

⇒ 70 × 1.8 × 10³

⇒ 126 × 10³

The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.

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Answer:

arc AB=16 circumference

Step-by-step explanation:

The circumference of a circle with radius

r=1

has a length

C1=2rπ=2π

An arc length of  π 3 represents π

32π = 132 + 16 of this circumference

Answer:

A'A = 18 units, B'B = 9 units

Step-by-step explanation:

Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values

[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross-  multiply )

8AC = 240 ( divide both sides by 8 )

AC = 30

Thus A'A = AC - A'C = 30 - 12 = 18 units

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

and

[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is

[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )

8CB = 120 ( divide both sides by 8 )

CB = 15

Thus

B'B = CB - CB' = 15 - 6 = 9 units

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

    the total charge on a call greater than 120min is given as;

   120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

  n = 175min here;

      120x + y(175 - 120) = 26.80

       120x + 55y = 26.80 ----- (I)

      n = 210min

       120x + y(210 - 120) = 32.4

       120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

      120x + 55y = 26.80 ----- (I)

     120x + 90y = 32.4 ----- (II)

subtract the two equations;

             90y - 55y = 32.4 - 26.8

                  35y = 5.6

                       y = [tex]\frac{5.6}{35}[/tex]  = 0.16cents

then x;

       120x = 26.8 - 55y from equation I

       120x = 26.8 - 55(0.16)

       120x = 18

            x = [tex]\frac{18}{120}[/tex]  = 0.15cents

Find the cost of 140min of talk time;

  n =140min;

      =  120(0.15) + 0.16(140 - 120)

      = 18 + 0.16(20)

      = 18 + 3.2

      = $21.2

Answer:

ill help

Step-by-step explanation:

Answer:

its b i got it correct

Step-by-step explanation:

on ed 2020

Answer

yes triangle ABC is equal to triangle ADE

Step-by-step explanation:

x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal

We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.

Given, (x + 4) + x + (x - 4) = 138.

3x = 138.

x = 46.

Now, BC = ED = (46 - 4) = 42 cm.

Assuming DA to be y.

∴ 46 + 42 + y = 138.

y = 50

And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.

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Answer: 12x2 -21x +42

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10y+15=7y+45

10y-7y=45-15

3y=30

y=10

hope it helps you!

Answer:

I am pretty sure the last one is correct

The table that represents a linear function is:

x---y

0---1

1---2

2---4

3---8

Here, we have,

from the given tables, we get, the information that,

from the 1st table, we get,

x---y

0---1

1---2

2---4

3---8

In this table, the y-values increase by a constant difference of 1 as the x-values increase by a constant difference of 1.

This indicates a linear relationship between x and y, where the y-value is twice the x-value.

but, in the other tables, we can't get any linear relationship between x and y.

so, we get,

The table that represents a linear function is:

x---y

0---1

1---2

2---4

3---8

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Answer:

5.5 hours

Step-by-step explanation:

347.50 - 100 = 247.50

247.50 ÷ 45 = 5.5

Answer:

5.5 hours

Step-by-step explanation:

if the one-time charge was 100 then subtract 100 from 347.50 and you would get 247.50 then divide that by 45 and you get 5.5.

Answer: b=0

Step-by-step explanation:

0.5b+4=2(b+2)

0.5b+4=2b+4

4=1.5b+4

0=1.5b

b=0

Answer:

[tex] - 12x[/tex]

Step-by-step explanation:

[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]

Thr answer is the slope.

Answer:

[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

The average rate of change of a function f ( x )  over the interval  [ a , b ]  is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]f(x)=\frac{3}{x-2}[/tex]

and [tex][a,b]=[4,7][/tex]

[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]

[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]

The rate of change is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]

[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]

The answer is 15 because you have two equal signs so they add up and that's why it gives that answer

Answer:

Step-by-step explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

From the question

mass = 10 kg

acceleration = 5 m/s²

We have

force = 10 × 5

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

A perpendicular line has a negative reciprocal of the line it is perpendicular to.

y = [tex]\frac{3}{4}[/tex][tex]x[/tex] - 6

Since the slope of that line is [tex]\frac{3}{4}[/tex], the line perpendicular to that will have the slope of [tex]-\frac{4}{3}[/tex].

Now let's plug the slope into the slope-intercept equation.

y = mx + b

y = [tex]-\frac{4}{3}[/tex][tex]x[/tex] + b

Next, we need to find the y-intercept (b), to get to the equation.

TO FULLY SOLVE THIS, I WOULD NEED TO KNOW ONE POINT OF THE PERPENDICULAR LINE!

Please let me know if there is another point that way I can help you! <3

Answer:

At least to greatest you've got  -3, 0,  1   so f(x),  g(x),  h(x). Answer a

Step-by-step explanation:

ik this is because i am in level 11 grade math

Answer:

h(x), g(x), f(x)

Step-by-step explanation:

I got that value because the axis of symmetry of GX and hx I've got them all the same, one and one the issue comes to the GX where ist has a negative value in front of the X I think when you put a negative value inside a bracket then you Square it you'll get a positive value in the end but since it has a negative value outside then it will be a negative value that is why I considered GX to be smaller than HX but even if I consider GX smaller it's not going to be smaller than FX that is why I got GX and then FX.

Hence, HX then GX then FX

Answer:

x+5

Step-by-step explanation:

Answer:

which expression represents the measure of segment RS? x + 5

Step-by-step explanation:

on engenuity

Answer:

f

(

6

)

=

74

Explanation:

If  

f

(

x

)

=

2

x

2

+

2

then

XX

f

(

6

)

=

2

⋅

6

2

+

2

XXXXX

=

2

⋅

36

+

2

XXXXX

=

74

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

plug in 6

the rest is common sense