The figure on the left represents a scale drawing of the figure on the right

The coordinates of triangle ABC after dilation are; (-6, -3), (0, 9) and (3, 3)

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Given that, a triangle ABC with coordinates, A (-2, -1) B (0, 3) C (1, 1)

This triangle is dilated by a scale factor of 3,

SInce, the scale factor is greater than 3, therefore, dilation shows an enlargement.

The rule of dilation is given by;

(x, y) → (kx, ky), where k is dilation factor.

Let triangle ABC is dilated to form triangle A'B'C'

Therefore, the coordinates of triangle A'B'C' are;

A' = 3(-2, -1) = (-6, -3)

B' = 3(0, 3) = (0, 9)

C' = 3(1, 1) = (3, 3)

The graph is attached.

Hence, the coordinates of triangle ABC after dilation are; (-6, -3), (0, 9) and (3, 3)

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Answer:

Triangle ABC is an isosceles right triangle.

Step-by-step explanation:

Answer:

The base angles are 96 degrees.

Step-by-step explanation:

The top angles are 84 degrees.

All quadrilateral angles must add up to 360 degrees.

The two top angles add up to 168 degrees.

360 degrees - 168 degrees = 192 degrees.

The base angles add up to 192 degrees.

192 divided by 2 = 96.

The base angles are 96 degrees each.

Answer:

y=2x+1

Step-by-step explanation:

Answer:

A. 3.60+5/6x=4.35  

Step-by-step explanation:

Total cost = milk + price per pound of oranges* number of pounds  

We know the total cost = 4.35 and the cost of the milk = 3.60  and the number of pounds of oranges = 5/6  

4.35 = 3.6 +5/6 * x

Answer:

a

Step-by-step explanation:

The require value of PQ is

A line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Now, given coordinates of two points on number line are

P = -41

Q = 31

Since, PQ is the distance between to points P and Q on a number line.

So, PQ is the absolute value of the sum of their coordinates P and Q.

⇒PQ = |P| + |Q|

⇒PQ = 41 + 31

⇒PQ = 72

Hence the required value PQ is 72.

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Answer:

37

Step-by-step explanation:

Given :

Sample size, n = 128

Mean, μ = 18

Standard deviation, σ = 5.4

Number of people who lost atleast 15 pounds :

The Zscore = (x - μ) / (σ)

Zscore = (15 - 18) / 5.4

Zscore = - 3 / 5.4

Zscore = - 0.5555

P(Z < - 0.555) = 0.28945

Number of people who lost atleast 15 pounds :

0.28945 * 128 = 37.0496

= 37 people

Answer:

(rectangular prism); opposite sides are equal

Area of bottom base;

3 feet x 3 feet = 9 feet,

Area of above base, (9 x 2) = 18

Area of front;

6 feet x 3 feet = 18 feet

Area of back, (18 x 2) = 36

Area of right side;

6 feet x 3 feet = 18 feet

Area of left side, (18 x 2) = 36

Find the sum of all the areas added;

18 + 36 + 36 = 90 square feet

Answer:

3.65

rounded to the nearest hundredth

Answer:

3.65

Step-by-step explanation:

5 rounds up. That makes the 4 in the hundredth place a 5 because of the rounding.

Maria jumped 6 inches farther than Nate.

To see why, we can subtract Nate's jump height from Maria's jump height:

32 - 26 = 6

So Maria jumped 6 inches farther than Nate did.

To represent this problem mathematically, we can use the equation:

Maria's jump height - Nate's jump height = the difference in their jump heights

Or, using variables:

M - N = D

Where M represents Maria's jump height, N represents Nate's jump height, and D represents the difference between their jump heights. Plugging in the numbers from the problem, we get:

32 - 26 = D

Simplifying, we get:

6 = D

So D, the difference between their jump heights, is 6 inches.

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A web server is software and hardware that uses HTTP (Hypertext Transfer Protocol) and other protocols to respond to client requests made over the World Wide Web. The main job of a web server is to display website content by storing, processing, and delivering web pages to users.

To successfully switch the values of the variables x and y using a temporary variable called "temp," you can follow these steps:

1. Assign the value of x to the temporary variable: temp = x;
2. Assign the value of y to the variable x: x = y;
3. Assign the value stored in the temporary variable (temp) to the variable y: y = temp; By following these steps, the values of the variables x and y will be switched using the temporary variable "temp."The purpose of the break statement is to break out of a loop early. For example, if the following code asks you to input an integer number, x, If x is divisible by 5, the break statement is executed, and this causes the exit from the loop.The break statement ends the loop immediately when it is encountered. Its syntax is broken. The break statement is almost always used with an if-else statement inside the loop.

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Answer:

Liz got a higher score than Austin.

Step-by-step explanation:

Since 42 divided by 50 is 82, as a percentage is then 82%. Austin has a 80% which most likely means, if on the same quiz, that he got a 40 out of 50.

To find F(5), we can use the given information that F(2) = 7 and F'(x) = x². We'll first express F(5) - F(2) as a definite integral and then solve for F(5).


Since F'(x) is the derivative of F(x), we can find the difference F(5) - F(2) by integrating F'(x) from 2 to 5:

∫(2 to 5) x² dx

Now we need to find the integral of x²:

∫x² dx = (x³/3) + C

Now, evaluate the integral from 2 to 5:

[(5³/3) + C] - [(2³/3) + C]

= (125/3) - (8/3)

= (125 - 8)/3

= 117/3

Therefore, F(5) - F(2) = 117/3. Since F(2) = 7, we can now solve for F(5):

F(5) = F(2) + 117/3


F(5) = 7 + 117/3 = 7 + 39 = 46. Thus, the value of F(5) is 46.

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On a linear graph, the unit rate is obtained by calculating the slope of the line.

Table A represents a linear relationship because the values in the y column change at a constant rate as x increases.

To see if a table of numbers exhibits a linear connection, see if the values in the y column move at a constant rate as x grows.

Table A depicts a linear relationship because as x grows by one, y increases by three. This indicates that the slope of the line linking the points in the table is constant, and the relationship is linear.

Table B does not depict a linear relationship since the rate of change in y is not constant as x grows. For example, y increases by 4 between x=1 and x=3, but only by 4 between x=3 and x=5. This indicates that the slope of the line linking the points in the table is not constant, and the relationship is not linear.

Table C does not depict a linear relationship since the rate of change in y is not constant as x grows. For example, between x=1 and x=4, y rises by 6, but from x=4 and x=9, y also increases by 6. This signifies that the slope of the line linking the points in the table is not constant.

Therefore, the table of values that represents a linear relationship is Table A.

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The complete question is: Which of the following tables of values represents a linear relationship between two variables?

Table A:

x | y

1 | 3

2 | 6

3 | 9

4 | 12

Table B:

x | y

1 | 4

3 | 8

5 | 12

7 | 16

Table C:

x | y

1 | 2

4 | 8

9 | 14

16 | 20

Darcy gave her nail technician a $5.10 tip.

Tip Amount = $5.10

The tip was 6% of the cost of the manicure.

b be the cost of the manicure

So,

6% of cost of the manicure= Tip Amount

6% of b = 5.10

Equation of the cost is :

The equation is : 0.06b = 5.10

Answer:

1,590.7 cm^3

Step-by-step explanation:

First, separate this shape into two smaller shapes you can easily find the volume of. In this example, you can separate this figure into a cone and a half-sphere.

Find the volume of the cone using the formula: V=πr^2(h/3). The radius is 7 because 14cm is the diameter, and 17cm is the height. When you solve, you get 872.32 for the volume of this cone.

Then, find the volume of the half-sphere. The volume of a sphere can be found with the formula: V=4/3πr^3. The radius is, again, 7. Now divide this value in half because you only want to find the volume of a half-sphere. You should get 718.38 cm.

Now add the two volumes together to get 1,590.7 cubed centimeters.

Step-by-step explanation:

volume of hemisphere

given

r=d/2=14/2=7cm

V=2/3πr^3

V=2/3×π×7^3

V=2/3×π×343cm^3

V=2/3×1077.56

V=718.37cm^3

volume of cone

given

r=7cm

h=17cm

V=πr^2×h/3

V=π×7^2×17cm/3

V=π×49cm^2×17cm/3

V=π×833cm^3/3

V=2616.94/3

V=872.31cm^3

Total volume=718.37cm^3+872.31cm^3

=1590.68cm^3

Answer:

John:Peter: Mary

$48:$96:$216

Step-by-step explanation:

john: Peter: Mary

2:4:9

so add 2+4+9=15

John

$360 ÷ 15 × 2 = $48

Peter

$360 ÷ 15 × 4 = $96

Mary

$360 ÷ 15 × 9 = $216

Answer: X= -2.1667 Y= 13

All the possible values of x are given as follows:

26 < x < 28.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

If 27 is the greater side, we have that:

x + 1 > 27

x > 26.

If x is the greater side, we have that:

x < 27 + 1

x < 28.

Hence the interval of possible values is given as follows:

26 < x < 28.

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Answer:

5. Obtuse

6. Right

7. Acute

Step-by-step explanation:

5. 5,12,15

The square of the longest side is 15^2 = 225. The sum of the squares of the two shorter sides is 5^2 + 12^2 = 169. Since 169 < 225, the triangle is obtuse.

6. 6,8,10

The square of the longest side is 10^2 = 100. The sum of the squares of the two shorter sides is 6^2 + 8^2 = 100. Since 100 = 100, the triangle is right.

7. 12,10,13

The square of the longest side is 13^2 = 169. The sum of the squares of the two shorter sides is 12^2 + 10^2 = 244. Since 244 > 169, the triangle is acute.

The value x in the equation h(x) = 4x-4 is, x =1

Polynomial functions are functions of a single independent variable.

To solve for x

Since h(x) =0

substitute h(x) into equation  

h(x) = 4x - 4

0=4x - 4

Add 4 to both sides

4x = 4

Divide both side by 4

4x/4 = 4/4

x = 1

therefore, the value of X= 1

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Answer:

-A

Step-by-step explanation:

mark me as brainlist pls

Answer: 71

Step-by-step explanation:

Answer:

Yes, by AA, since angle DEF is congruent to HEJ (vertical angles are congruent), and angle DFE is congruent to HJE.

So triangle DEF is similar to triangle HEJ.

The volume of the region is 1024π cubic units.

To find the volume of the region, we need to integrate the function \(f(x,y) = x^2 + y^2\) over the region R,

which is defined by the cylinder \(x^2 + y^2 = 64\) and the xy-plane.

We can express R as follows:

\(R = {(x, y) | x^2 + y^2 ≤ 64, z ≥ 0}\)

To integrate over this region, we can use cylindrical coordinates.

In cylindrical coordinates, the equation of the cylinder is simply \(r^2 = 64\). The limits of integration for r are therefore 0 to 8.

The limits of integration for θ are 0 to 2π, since we want to integrate over the entire circle.

To express f(x,y) in terms of cylindrical coordinates, we first need to express \(x^2 + y^2\) in terms of r. This is simply \(r^2\). Therefore, we have:

\(f(x,y) = x^2 + y^2 = r^2\)

To set up the integral, we have:

\(V = \int\int R f(x,y) dA\)

where dA is the area element in cylindrical coordinates, which is given by r dr dθ. Therefore, we have:

\(V = \int0^{2\pi} \int0^8 r^3 dr d\theta\)

Evaluating the inner integral first, we get:

\(\int0^8 r^3 dr = [r^4/4]0^8 = 512\)

Substituting this result into the outer integral, we get:

\(V = \int0^{2\pi} 512 d\theta = 1024\pi\)

Therefore, the volume of the region is 1024π cubic units.

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There are 462 ways a student can pick five questions from an exam containing eleven questions

The number of combinations, denoted as "n choose k" or "C(n, k)," represents the number of ways to choose k items from a set of n distinct items without regard to the order of selection.

In this case, the student needs to select 5 questions from a pool of 11 questions. Therefore, the number of ways the student can choose is:

C(11, 5) = 11! / (5! * (11 - 5)!) = 11! / (5! * 6!)

Here, the exclamation mark (!) denotes the factorial operation.

Simplifying the expression:

11! = 11 * 10 * 9 * 8 * 7 * 6!

6! = 6 * 5 * 4 * 3 * 2 * 1

Substituting the values:

C(11, 5) = (11 * 10 * 9 * 8 * 7 * 6!) / (5! * 6!)

        = (11 * 10 * 9 * 8 * 7) / (5 * 4 * 3 * 2 * 1)

        = 462

Therefore, there are 462 ways a student can pick five questions from an exam containing eleven questions.

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Answer: Here is the step:

−2x;x+2y=9

x+2y=9

Then substitute -2x for y

-3x/-3 =9/-3

x= -3