Triangle ABC is located at A (−2, 2), B (−2, 4), and C (0, 0). The triangle is then transformed using the rule (x+3, y− 2) to form the image A'B'C'. What are the new coordinates of A', B', and C'?

Answer:

     -4.2

Step-by-step explanation:

Taking the expression at face value, it is ...

  42/-10 = -42/10 = -4.2

_____

Comment on "standard form"

In the US, a number is in standard form if it is written as a sequence of decimal digits and a decimal point (if there is a fractional part), usually with no leading zeros (left of the decimal point). The sign is prepended to that digit string, as shown above.

In the UK, a number is in standard form if it is written in "scientific notation." The rule for writing a number in standard form is that first you write down a number between 1 and 10, then you write ×10(to the power of an integer). Usually powers of 0, or multipliers of 1, are not written. Then the number here is still -4.2, rather than -4.2×10⁰.

Answer:

c

Step-by-step explanation:

the answer is c. because it is the corresponding value to minus two

Answer:

r = 8

Step-by-step explanation:

→Distribute the 7 to (-3r + 16):

-16r + 15 + 17 = 7(-3r + 16) - 5r

-16r + 15 + 17 = -21r + 112 - 5r

→Add like terms:

-16r + 32 = -26r + 112

→Add 26r to both sides:

10r + 32 = 112

→Subtract 32 from both sides:

10r = 80

→Divide both sides by 10:

r = 8

Answer:

Step-by-step explanation:

-16r +15+17= 7(-3r+16)-5r

-16r+32 = -21r +112-5r

-16r +26r=112-32

10r =80

r=80/10

r=8

mark me as the brainliest and hope it helps you..

Answer:3*10^3

Step-by-step explanation:

Answer:

5.09 x 10^-4 = 0.000509

Step-by-step explanation:

Simply just move the decimal places 4 times to the left and fill in your zeros to get your answer. (I think this is standard form)

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

m(x) = 2(x + 4)² - 8 ← is in vertex form

with vertex = (- 4, - 8 ) → A

Answer:

144π

Step-by-step explanation:

If the rectangle below is continuously rotated about  side, the solid figure formed is a cylinder.

A rectangle with sides of 4 and 6 unit continuously rotated about  the shorter side gives a cylinder with a radius (r) of 6 units and a height (h) of 4 units. The volume of a cylinder is given by:

Volume = πr²h

Volume = π × 6² × 4 = 144π

The volume of the cylinder formed is 144π

Answer:

Radius of the circle is 15 inches.

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

[tex]\theta = \dfrac{l}{r} ..... (1)[/tex]

where [tex]\theta[/tex] is the central angle in radians subtended by arc

[tex]l[/tex] is the length of arc

[tex]r[/tex] is the radius of arc

We are Given the following details:

[tex]l = \dfrac{5\pi}{4}\ inch[/tex]

[tex]\theta = 15^\circ[/tex]

We know that [tex]\pi \ radians = 180 ^\circ[/tex]

Converting [tex]\theta[/tex] to radians:

[tex]\theta =\dfrac{\pi}{180} \times 15[/tex] radians

Putting the values of [tex]\theta[/tex] and [tex]l[/tex] to find the value of [tex]r[/tex]

[tex]\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches[/tex]

Hence, Radius of the circle is 15 inches.

Answer:

1: x = 2/5

2: x = 3/7

3: x = 1/22

Answer:

for example:

r=2 cm

Area=pi r^2

=3.14*(2)^2

=3.14*4

=12.56

hope it helps

Good luck on your assignment

Answer:

[tex]x = 37.5^{\circ}[/tex]

Step-by-step explanation:

The central angle of the sector representing rent expenses in the pie chart is found by simple rule of three:

[tex]x = \frac{Rs. 250}{Rs. 2400}\times 360^{\circ}[/tex]

[tex]x = 37.5^{\circ}[/tex]

In the pie chart, the central angle of the sector reflecting rent expenses is equal to [tex]\boldsymbol{37.5^{\circ}}[/tex]

A pie chart is a circular statistical visual divided into slices to show numerical proportion. The arc length of each slice in a pie chart is proportionate to the quantity it shows.

Monthly income of Mr. Bond [tex]=[/tex] Rs. [tex]2400[/tex]

Monthly expenditure on rent [tex]=[/tex] Rs. [tex]250[/tex]

Central angle of the sector representing rent expenses in the pie chart [tex]=\frac{250}{2400}\times 360^{\circ}[/tex]

[tex]=\boldsymbol{37.5^{\circ}}[/tex]

Find out more information about pie chart here:

https://brainly.com/question/13217262?referrer=searchResults

90,180 is the same as R so it is

Answer:

19

Step-by-step explanation:

51-(16)x2

16x2=32

51-32=19

Step-by-step explanation:

B bracket

O of

D division

M multiplication

A addition

S subtraction

therefore 51-32 is equal to 49

Answer:

A=4686 M2

Step-by-step explanation:

A=H[B+A]/2

A=102+140

A=66 X 142 / 2

A=33 X 142

A=4686 M2

Answer:

Area of the rectangle A = 17 units²

Step-by-step explanation:

Area of the rectangle A = Area of rectangle ACEG - (Area of the triangle ABH + Area of triangle BCD + Area of triangle DEF + Area of the triangle FGH )

Area of rectangle ACEG = Length × Width

                                        = (5 units) × (5 units)

                                        = 25 square units

Area of the triangle ABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                         = [tex]\frac{1}{2}(4)(1)[/tex]

                                         = 2 units²

Area of the triangle BCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                         = [tex]\frac{1}{2}(1)(4)[/tex]

                                         = 2 units²

Similarly, area of the triangle DEF = 2 units²

And area of the triangle FGH = 2 units²

Now area of the rectangle A = 25 - (2 + 2 + 2 + 2)

                                                = 25 - 8

                                                = 17 square units

Therefore, area of the rectangle A = 17 square units

Answer:

5p³ - 7p² -5p + 3

Step-by-step explanation:

Combine like terms

5p³ - 7p² -5p + 3

Answer:

5p^3-7p^2-5p+3

Step-by-step explanation:

(5p^3 - p) – (7p^2 + 4p - 3)​

Distribute the minus sign

(5p^3 - p) – 7p^2 - 4p + 3

Combine like terms​

5p^3-7p^2-5p+3

Answer:

Its B!

Step-by-step explanation:

Just passed on edge 2020

The interval between which the sales of the Marcus were constant was (0, 5) to (5, 6) and (5, 6) to (6, 12)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given, Marcus tracked the changes in his sales over a 12- month period.

we need to find at which interval was the change in Marcus's sales constant.

First we need to plot the graph, the points given to us will show us the sale of Marcus from the beginning to the end.

The rapid increment is  in the number of sales for that period of time is  (0, 4) and (0, 5) as we can see a straight line.

Line between point (0, 5) and (5, 6), there is a slant line therefore, which shows that were slow and constant growth in the sale of Marcus as the line is increasing upwards.

The line between the points (5, 6) and (6, 12) is also a slant line but the slope of the line is high than the previous line for points  (0, 5) and (5, 6).

Constant growth between these two points and this growth was also constant but it was more rapid as compared to sales between the point (0, 5) and (5, 6).

Therefore the interval between which the sales of the Marcus were constant was (0, 5) to (5, 6) and (5, 6) to (6, 12)

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Answer:

Option C is correct

Step-by-step explanation:

A = 64 - 9x^2

   = 8^2 - (3^2)(x^2)

   = 8^2 - (3x)^2

Hope this helps!

Answer:

52.5

Step-by-step explanation:

median is where u find the middle number

put them in order first

24,28,51,54,67,70

its between 54 and 51

Answer: 90

Step-by-step explanation: Divide 20 by 4 and Multiply the 18

Answer:

130.125

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

7 = 3*3 -2

7 = 9 -2

7 = 7

This is the only point  that works.

Answer:

B

Step-by-step explanation:

Answer:

The ordered pair generated from the equation is (1, 6).

Step-by-step explanation:

An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (x, y) = (1, 2) here x = 1 and y = 2.

The equation provided is:

[tex]y=2x+4[/tex]

Check for all the options:

Thus, the ordered pair generated from the equation is (1, 6).

Answer:

(1,6)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because monomials can be numbers variables and numbers together with variables

Answer:

5n should be a monomial i think

Step-by-step explanation:

Answer:

[tex]13- 0.75 * (12) + 8 * (\frac{1}{2} ) = 13-9+4\\\\13-5=8[/tex]

Step-by-step explanation:

Evaluate 13-0.75w+8x13−0.75w+8x13, minus, 0, point, 75, w, plus, 8, x when w=12w=12w, equals, 12 and x=\dfrac12x= 2 1 ​ x, equals, start fraction, 1, divided by, 2, end fraction.

For this case we have the following expression:

 [tex]13-0.75w + 8x[/tex]

Evaluate for the following values:

 w = 12

 x = 1/2

 We Substituting the values we have:

[tex]13- 0.75 * (12) + 8 * (\frac{1}{2} ) = 13-9+4\\\\13-5=8[/tex]

Answer:

39 km/h

Step-by-step explanation:

Velocity is the rate of change of distance in a given direction with time. Mathematically,

Velocity = Displacement/time

Like speed, velocity is measured in Km/h or m/s.

Given that the car travels at 54 km/h for first 20seconds,

since 60 seconds = 1 minute and

60 minutes  = 1 h,

20 seconds

= 20/(60 ×60) h

= 1/180 h

In the same vein,

30 seconds

= 30 / (60 ×60) h

= 1/120 h

10 seconds

= 10/(60 ×60) h

= 1/360 h

Hence  if the car travels 54 km/h for 10 seconds, the distance covered

= 54 × 1/180

= 3/10 Km

If the car travels 36km/h for next 30seconds, the distance covered

= 36 × 1/120

= 3/10 Km

If the car travels 18km/h for next 10 seconds, the distance covered

= 18 × 1/360

= 1/20 km

Total distance = 3/10 Km + 3/10 Km + 1/20 Km

= 13/20 Km

Total time spent = 20 + 30 + 10

= 60 seconds

= 1/60 h

Average velocity = 13/20 km/ 1/60 h

= 39 Km/h

Answer:

y-32=3(x-5)

Step-by-step explanation:

The swimming pool is being drained at a constant rate of 3 inches per hour, therefore:

If the depth of the water after 5 hours is 32 inches.

The depth is the dependent variable(as its values varies with time) while the time is the independent variable, we can write this as a pair (x,y)=(5, 32).

The point slope form of the equation of a line is of the form: [tex]y-y_1=m(x-x_1)\\(x_1,y_1)=(5,32), m=3\\$Substituting these values, we obtain:\\y-32=3(x-5)\\This is the equation of the function in point slope form.[/tex]

Answer: Multiplying 3x and -x we obtain A= -3x^2

Answer:

[tex] \boxed{b = 140} [/tex]

Step-by-step explanation:

[tex] = > \frac{b}{7} - 12 = 8 \\ \\ = > \frac{b}{7} = 8 + 12 \\ \\ = > \frac{b}{7} = 20 \\ \\ = > b = 20 \times 7 \\ \\ = > b = 140[/tex]

Answer:

(-2)^4 = (-2) * (-2) * (-2) * (-2) = 16

                   ↑expanded         ↑standard

(-7)² = (-7) * (-7) = 49