a(2,3)b(7,3),and c(7,-2) are three verticed of square abcd. what are the coordinated of vertex d​

To solve this, you need to isolate/get the variable "x" by itself in the equation:

-3(x + 5) = -9      Distribute/multiply -3 into (x + 5)

(-3)x + (-3)5 = -9

-3x - 15 = -9     Add 15 on both sides

-3x - 15 + 15 = -9 + 15

-3x = 6      Divide -3 on both sides to get "x" by itself

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

x = -2

I just realized I took unnecessary steps....you could've just divided -3 then subtracted 5

-3(x + 5) = -9       Divide -3 on both sides [two negative signs cancel each other out and become positive]

x + 5 = 3       Subtract 5

x = -2

Answer:

Identity function

Answer:

2n+7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because it is higher than the others and also includes the number 2, as it says in the fraction and is located in 1/2

Answer:

Point A

Step-by-step explanation:

You already know y is -2. Just substitute that to the top equation and solve for x. X would be -4.

(-4, -2)

Find the point on the graph and you'll see it falls on point A.

Answer:

See attached table for the answers.

Step-by-step explanation:

Because 1/4 inches is 2 feet, 1 inch is 8 feet, making the conversion factor x8.

Answer:

The scale factor is 1/4 inch to 2 feet but can be simplified to 8 feet per inch.

1. Lobby drawing length is 2 inches.

2. Principal's Office actual length is 10 feet.

3. The library's drawing length is 2.5 inches.

4. The science lab's actual length is 12 feet.

5. The cafeteria's drawing length is 6 inches.

6. The music room's actual length is 32 feet.

8. The gym's actual length is 104 feet.

9. The auditorium's drawing length is 7 inches.

10. The teachers' lounge's actual length is 14 feet.

I hope this helped you. If you would mark brainliest that would be appreciated.

Answer:

indebtedness

Step-by-step explanation:

To add 471 and 582, line up the numbers by place value and add each column, carrying over as needed. The sum is 1053. You check by reversing the order of the numbers and adding again; the sum should remain the same.

To add the following numbers and use the checking method (add down and then add up), perform the following steps:

If you obtain the same result by both adding down and adding up, your answer is verified as correct.

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Answer:

The scale factor is 0.25.

Step-by-step explanation:

We have two side lengths.

First figure: A diamond with a side length of 5.8

This is the object length.

Second figure: Then a smaller diamond with a side length of 1.45

This is the image length.

The scale factor is

[tex]k = \frac{image \: length}{object \: length} [/tex]

[tex]k = \frac{1.45}{5.8} [/tex]

[tex]k = 0.25[/tex]

0.25 hope this helps

Answer: slope is -1/3 and the y intercept is -7

Step-by-step explanation:

Answer:

1. 3 is a constant term of the expression.

2. 9 is constant term of the expression.

3.7 is a constant term of the expression.

Step-by-step explanation:

1. 3+c+e

Here 3 is a constant term of the expression.

c and e are the variables.

The coefficient of c is 1.

The coefficient of e is 1.

It is a trinomial expression.

2.

5m +9

9 is constant term of the expression.

m is a variable of the expression.

The coefficient of m is 5.

It is a binomial expression.

3.

3p²+7

7 is a constant term of the expression.

p is the variable.

The coefficient of p² is 3.

It is a binomial expression.

Step-by-step explanation:

Let x be the smaller than 4 ×[tex]10^{-2}[/tex].

To find, the number of times smaller is 2 × [tex]10^{-3}[/tex] than 4 × [tex]10^{-2}[/tex] = ?

∴ x = [tex]\dfrac{4\times 10^{-2}}{2\times 10^{-3}}[/tex]

= 2 × [tex]10^{-2}[/tex] × [tex]10^{3}[/tex]

Using the identity,

[tex]a^{m}=\dfrac{1}{a^{-m}}[/tex]

= 2 × [tex]10^{-2+3}[/tex]

Using the identity,

[tex]a^{m} \timesa^{n}=a^{m+n}[/tex]

= 2 × [tex]10^{1}[/tex]

= 2 × 10

= 20

Thus, the required "option A) 20" is correct.

Answer:

  15°

Step-by-step explanation:

The exterior angle at vertex S is 360°/12 = 30°. That angle has a measure that is equal to the sum of the congruent angles at R and T of ΔRST. In other words, ...

  ∠T = 30°/2 = 15°

The size of angle STR is 15°.

The sides of a regular polygon are congruent.

The size of STR is 15 degrees

The polygon is 12-sided.

This means that:

[tex]\mathbf{n =12}[/tex]

The sum of angles in a regular hexagon is 360.

So, the angle at vertex S is:

[tex]\mathbf{\theta = \frac{360}{n}}[/tex]

This gives

[tex]\mathbf{\theta = \frac{360}{12}}[/tex]

[tex]\mathbf{\theta = 30^o}[/tex]

The external angle of a triangle equals the sum of the opposite internal angles.

This means that:

[tex]\mathbf{\theta = \angle STR + \angle SRT}[/tex]

Where:

[tex]\mathbf{ \angle STR = \angle SRT}[/tex]

So, we have:

[tex]\mathbf{\theta = \angle STR + \angle STR}[/tex]

[tex]\mathbf{\theta = 2\angle STR}[/tex]

Substitute [tex]\mathbf{\theta = 30^o}[/tex]

[tex]\mathbf{30^o = 2\angle STR}[/tex]

Divide both sides by 2

[tex]\mathbf{15^o = \angle STR}[/tex]

Rewrite as:

[tex]\mathbf{\angle STR = 15^o }[/tex]

Hence, the size of STR is 15 degrees

Read more about angles in a polygon at:

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Step-by-step explanation:

Given f(x) = x − 7 and g(x) = x2 .

Find g(f(4)).

f(x) = x-7

g(x) = x^2

f(4) = 4-7  = -3

g(f(4)) = (-3)^2

(-3)^2 = 9

g(f(4)) is 9

Find f(g(4)).

f(g(4)) = f(g(4)) = 9

Find g(f(−1)).

g(f(−1)) = 64

Find f(g(−1)).

f(g(−1)) = -6

Composition of the functions is  sometimes  commutative.

hope this helps!! have an amazing day <3

2021 edg

Answer:

1/12

Step-by-step explanation:

Answer:

72/97

Step-by-step explanation:

Sinus is calculated by dividing opposite by hypotenuse so the answer is 72/97

Answer:

72/97

Step-by-step explanation:

Sin(X) = opposite/hypotenuse

Sin(X) = 72/97

Answer:

A

Step-by-step explanation:

Move the entire triangle left 6 units.

Answer: A

Step-by-step explanation:

Answer:

b < 11

Step-by-step explanation:

Given

1 > 5(b - 14) + 16 ← distribute and simplify right side

1 > 5b - 70 + 16

1 > 5b - 54 ( add 54 to both sides )

55 > 5b ( divide both sides by 5 )

11 > b, thus

b < 11

Answer:

[tex]AC = 25\ miles[/tex]

Step-by-step explanation:

Given:

Distance for north side = 7 miles.

Distance for east side = 24 miles.

We need to find the displacement.

Solution:

Figure shows Point A is starting point and AB = 7 miles is North side distance and BC = 24 miles is east side distance and AC is shown as displacement.

Using Pythagoras theorem to find displacement (AC).

[tex](AC)^{2}=(AB)^{2}+(BC)^{2}[/tex]

Substitute AB = 7 and BC = 24 in above equation.

[tex](AC)^{2}=(7)^{2}+(24)^{2}[/tex]

[tex](AC)^{2}=49+576[/tex]

[tex](AC)^{2}=625[/tex]

[tex]AC = \sqrt{625}[/tex]

[tex]AC = 25\ miles[/tex]

Therefore, displacement of the car [tex]AC = 25\ miles[/tex]

Answer:

$24,000

Step-by-step explanation:

If each year you get 12% of interest 20,000 dollars x 0.12 = 1 year worth of interest or $2400 then if its over a 10 year span it would be $2,400 x 10 (amount of years) = $24,000

Answer: $44,000

Step-by-step explanation:

Answer:

  9a+12

Step-by-step explanation:

The perimeter is the sum of the side lengths, so is ...

  6a + a + 4 + 8 + 2a

  = a(6 +1 +2) + (4 +8)

  = 9a +12

Answer:

2000 ml

Step-by-step explanation:

Given: Sarai pours all the liquid from a full small beaker into a larger    beaker.

           The liquid fills the large beaker to 15% of its capacity.

            The small beaker holds 300 ml.

Lets assume capacity of large beaker to hold be "x".

As given, Sarai pours all the liquid from a full small beaker into a larger beaker

∴ [tex]15\% \times x= 300\ ml[/tex]

⇒ [tex]0.15x= 300[/tex]

Dividing both side by 0.15

⇒[tex]x= \frac{300}{0.15}[/tex]

∴ [tex]x= 2000\ ml[/tex]

Hence, the large beaker can hold 2000 ml of liquid.

Question:

A regular pentagon is dilated by a scale factor of 7/3 to create a new pentagon. How does the perimeter of the new pentagon compare with the original perimeter?

Answer:

The perimeter of the new pentagon is equal to [tex]\frac{7}{3}[/tex] times the perimeter of the original pentagon

Solution:

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let ,

z is the scale factor

x is the perimeter of the new pentagon

y is the perimeter of the original pentagon

Then,

Scale factor = ratio of perimeters

[tex]z=\frac{x}{y}[/tex]

In this problem we have

[tex]z=\frac{7}{3}[/tex]

Substituting we get,

[tex]\frac{7}{3} = \frac{x}{y}\\\\x = \frac{7}{3}y[/tex]

Which means,

[tex]perimeter\ of\ the\ new\ pentagon = \frac{7}{3} \times \text{ perimeter of the original pentagon}[/tex]

Therefore , the perimeter of the new pentagon is equal to [tex]\frac{7}{3}[/tex] times the perimeter of the original pentagon

Answer:

3 x 9, 1 x 27, 9 x 3

Step-by-step explanation:

The two numbers that multiply to -27 and add to 1 are 9 and -3.

To find two numbers that multiply to -27 and add to 1, we can use the method of factoring and algebraic manipulation.

Let the two numbers be x and y.

Step 1: Set up the equations based on the given conditions:

xy = -27 (the two numbers multiply to -27)

x + y = 1 (the two numbers add to 1)

Step 2: Solve one of the equations for one variable in terms of the other.

From the second equation, we can express y in terms of x:

y = 1 - x

Step 3: Substitute the value of y into the first equation:

x(1 - x) = -27

Step 4: Expand and rearrange the equation:

x - x^2 = -27

Step 5: Rewrite the equation in standard quadratic form:

x^2 - x - 27 = 0

Step 6: Factor the quadratic equation:

(x - 9)(x + 3) = 0

Step 7: Set each factor equal to zero and solve for x:

x - 9 = 0 --> x = 9

x + 3 = 0 --> x = -3

So, the two numbers are 9 and -3, as 9 * -3 = -27, and 9 + (-3) = 1.

In conclusion, the two numbers that multiply to -27 and add to 1 are 9 and -3. By setting up and solving the system of equations and factoring the quadratic equation, we obtained these two values that satisfy the given conditions.

To know more about multiply:

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True, 4.62 is less than 4.67

Use the distance formula: D=sqrt((x2-x1)^2+(y2-y1)^2)

Plug in:

D=sqrt((9-8)^2+(-1-2)^2)

D=sqrt(1^2+(-3)^2)

D=sqrt(1+9)

D=sqrt(10)

So the distance is about 3.16 units

Hope this helped!

Answer:

The statement that is best supported by the dot-plot is iii)

The mode of the number of miles Amanda skated in July is equal to the

mode of  the number of miles skated in August.

This is a true statement.

The mode of the number of miles Amanda skated in July is equal to 1.

The mode of the number of miles Amanda skated in August is equal.

Step-by-step explanation:

i) The range of the number of miles Amanda skated in August is less than the  

    range  of the number of miles she skated in July.

   This is a true statement.

   the range of the number of miles Amanda skated in August is 1 to 3

   the range of the number of miles Amanda skated in July is 1 to 4

ii)  The distribution of data is approximately symmetrical in both sets of data.

  This is NOT a true statement.

  the distribution of data of the number of miles Amanda skated in August

  is not symmetrical.

  the distribution of data of the number of miles Amanda skated in August

   is approximately symmetrical.

iii) The mode of the number of miles Amanda skated in July is equal to the

   mode of  the number of miles skated in August.

   This is a true statement.

  The mode of the number of miles Amanda skated in July is equal to 1.

    The mode of the number of miles Amanda skated in August is equal.