the area of this figure is? sq meters

Answer:

x = 3

Step-by-step explanation:

2x + 12 = 18

The variable is "x" and to find the value of x we must get rid of everything on the left side of the equation.

We can easily do this by using inverse operations

To get rid of the 12, we subtract 12, because in the expression its adding and the inverse of addition is subtraction.

But remember whatever we do to one side we have to do to the other, so we subtract 12 from each side

12 - 12 cancels out

18 - 12 = 6

we now have 2x = 6

now we want to get rid of the 2

2x is the same as 2 times x which is multiplication

The inverse of multiplication is division, so to get rid of the 2 we divide each side by 2

2x / 2 = x

6 / 2 = 3

we're left with x = 3

Answer:

C

Step-by-step explanation:

When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C

PLS GIVE BRAINLIST

Happy Easter

The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.

Here we want to find the solution set of the inequality below:

x ≤ -4

First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so  we need to have a closed set at that end)

This is written as:

(-∞, -4]

The use of the symbols [ ] means that the element belongs to the set.

Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.

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The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Answer:

y=9/2x -13/2

Step-by-step explanation:

i used a calculator i hope its right

Answer:

6( 5 + 2x )

Explanation:

30 = 2 x 3 x 5

12x = 2 x 2 x 3 x X

THE COMMON FACTOR IS 2 & 3

SO this is the answer

Hope this helps :)

Answer:

7.36 g/cm3

Step-by-step explanation:

Density = mass ÷ volume

Mass in grams = 9200g

Volume in cm3 = 1250cm3

9200 ÷ 7850 = 7.36

7.36 is already in 2 d.p.

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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Answer:

Cost of dryer is $250

Cost of washer is $500

Step-by-step explanation:

Let the cost of the dryer be - x

Then, cost of washer = 2x

To find x,

x+2x= $750

3x=$750

x=$750/3

x=$250

Hope this helps you mate.

For one to isolate the variable by using equation rules. Inverse inequality sign if multiplying/dividing by negative. Steps to isolate variable in inequality: Simplify, move constants with inverse operations. Divide coefficient to isolate variable. Reverse direction if using negative number.

Inequalities require you to apply the same principles as those used in equations when isolating a variable. For example, if there is an inequality 3x - 5 < 7. one can isolate the variable, by first:

Add 5 to both sides to be: 3x < 12.

Then divide both sides by 3: x < 4.

So, the variable x is one that is isolated, and the solution to the inequality is one where x < 4.

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Answer:

The last graph in the bottom right corner.

Explanation:

To tell if a graph is a function it must not have more than one line cross an x value. The only graph the does not have repeating x values is graph in the bottom right corner.

C. (-2, 2) and  (1, -1)

Since the point of intersection is the sole location where the two graphs come together, the coordinates of that location provide the answer to the equations involving the two variables. There are no solutions when the graphs are in parallel.

Given, the parabola Y = X² -2 and a line Y = -X. To find the intersection points of this graph we need to compare these equations.

Let's put the value of y in equation 1

- X = X²  - 2

X²  + X - 2 = 0

The factor of this quadratic equation is -2 and 1. Therefore the coordinate in which both graphs will intersect is (-2, 2) and  (1, -1). I am attaching an image for better understanding.

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Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Answer:

180 \(cm^2\)

Step-by-step explanation:

L x W x H

6 x 5 x 6

180

Answer:  180 cubic centimeters

Step-by-step explanation:

Each little blue cube measures 1 cm in each direction - width, height, and depth.

The volume of the whole figure is just the volume of all the little cubes, added up.

The block of cubes is 5 cubes wide and has a depth of 6 cubes. So each horizontal layer is 5 * 6 = 30 cubes, total.

The block of cubes is 6 layers deep, so we have 6 layers of 30 cubes each = 6 * (30 cubes) = 180 cubes in all.

Each cube is 1 cubic centimeter (abbreviated 1 cc), so 180 of them have a combined volume of 180 cc.

A shorter way to say all this is to say that V = width * depth * height =

    = 5 cm * 6 cm * 6 cm = (5)(6)(6) cm³ = 180 cubic centimeters

Answer:

Y varies directly as X.

y=kx.

6=K72.

x=6/72.

x=0.08.

Y=0.08x.

when y=?, x=8.

y=0.08×8=0.64.

Hi there! Your answer will be 3:7 or 0.43 depending on what the teacher is asking for.

Hope this helps! Have a good day :)

Answer:

1263 seconds

Step-by-step explanation:

100 meters = 12.63 seconds

multiply both sides by 100 since

100*100= 10,000 meters

12.63*100= 1263 seconds

Marcel can set a goal of purchasing the house in 5 years. The timeframe Factor enables Marcel to work towards his financial goal within a specified period.

Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can identify the following factors:

Specificity: Marcel should specify the type of house he wants to purchase. This includes the size of the house, the number of rooms, the location, the neighborhood, and the amenities he wants in the house. For instance, Marcel can specify that he wants to purchase a 3-bedroom bungalow house located in a suburban area.

Measurability: Marcel should identify how much money he needs to purchase the house. This means that he should set a financial target that he wants to achieve to be able to purchase the house. For instance, Marcel can set a target of saving $100,000 in 3 years to purchase the house. The measurability factor enables Marcel to track his progress toward achieving his financial goal.

Attainability: Marcel should set a financial goal that is achievable based on his income and financial situation. For instance, if Marcel's current income cannot enable him to save $100,000 in 3 years, he can adjust his financial goal to suit his financial situation.

Realistic: Marcel should set a realistic financial goal that he can achieve given his resources and time frame. For instance, Marcel should not set a financial goal that is too high that he cannot achieve it or too low that it does not challenge him.

Time-bound: Marcel should set a timeframe within which he wants to achieve his financial goal. This means that Marcel should set a specific date by which he wants to purchase the house.

For instance, Marcel can set a goal of purchasing the house in 5 years. The timeframe factor enables Marcel to work towards his financial goal within a specified period.

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x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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Given:

The coordinates of the endpoints of segment BC are B(5,1) and (-3,-2).

Under the transformation \(R_{90^\circ}\) the image of \(\overline{BC}\) is \(\overline{B'C'}\).

To find:

The coordinates of points B' and C'.

Solution:

We know that transformation \(R_{90^\circ}\) means 90 degrees counterclockwise rotation about the origin.

If a figure is rotated 90 degrees counterclockwise rotation about the origin, then

\((x,y)\to (-y,x)\)

Using this rule, we get

\(B(5,1)\to B'(-1,5)\)

Similarly,

\(C(-3,-2)\to C'(-(-2),-3)\)

\(C(-3,-2)\to C'(2,-3)\)

Therefore, the coordinates of required points are B'(-1,5) and C'(2,-3).

The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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Work Shown:

4(x+2) + 6x

4x+8 + 6x

(4x+6x) + 8

10x+8

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer: g=8

Step-by-step explanation: Hope this help :D

A sine function that has an amplitude of 2, a midline of 4 and a period of 2/3 is write as:

The sine function is written considering the general formula in the form

sine function, y = A sin wx + b

where

A = amplitude

w = 2π / period

b  = midline

In the problem the values available are

A = 2

b = 4

period = 2/3

substituting the known values

sine function, y = A sin wx + b

sine function, y = 2 sin (2π / 2/3) x + 4

sine function, y = 2 sin (3π) x + 4

sine function, y = 2 sin 3πx + 4

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Answer:

$9000

Step-by-step explanation:

110 x 90 = 9900

90 x 10 = 900

9900 - 900 = 9000