Which of the following represents the translation of R (-3, 4), along the vector <7, -6> <-1, 3>.

Step-by-step explanation:

A nonagon has 9 sides, so a regular nonagon will have vertices that are 40° apart as measured from the center. It has 9-fold rotational symmetry,

so the figure will be identical to the original when rotated multiples of 360°/9 = 40°.

Therefore the degrees will a nonagon have rotational symmetry

Hene the correct answer is Option B

Remember that the pair of coordinates

of a point that lies on the graph of the function tells us the x-value and the

y-value related to that value.

Therefore, the point

Represents that 8 pounds of cheddar cheese cost $44 in total (y represents the total cost, not the cost per pound)

(Correct answer is option B)

if the angles are complementary, then the sum of the angles is 90°

so the measure of the angle 2 is 5°

from the question;

we are to construct 99% confidence interval. this can be done using

where,

inserting values

therefore the 99% confident inter vale is between 98.041 to 98.359

Solution

- The solution is given below:

- Thus, we have:

- Thus, the plot is:

Use the distributive property to expand the parenthesis:

Then:

Answer:

       2 0 8

×       2 6

+    1 2 4 8

+    4 1 6  

=  5  4 0 8

The Answer of 208 × 26 Is 5.408

= 208 × 26

= (208 × 6) + (208 × 20)

= 1.248 + 4.160

= 5.408

__________________

Class: Elementary School

Lesson: Multiplication

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Answer:

To find the volume of the cone rounded to the nearest tenth

we have that,

Volume of the cone (V) is,

where r is the radius and h is the height of the cone.

Given that,

r=7 yd

h=19 yd

Substitute the values we get,

we get,

we know that pi is approximately equal to 3.14, Substitute the value we get,

we get,

Answer is: Option D:

The four individuals Dee, Sarah, Brett and Betsy split their dinner bill four ways, which means its divided into four parts. Hence, after splitting, each person owes;

This shows that when paying the bill, each of the four individuals will have to pay $7.52

we are given the sum of the following fractions:

To sum these fractions we may multiply the numerator and denominator of the second fraction by 5, like this:

Since now they have the same denominator we can add the numerators and leave the same denominator, like this:

Now we can simplify the resulting fraction by dividing the numerator and denominator by 2:

Therefore, the sum of the two fractions is 3/5

Answer:

p(-3) = -428

Given the polynomial function expressed as:

Determine the value of p(-3)

Hence the value of p(-3) is -428

For the given situation:

It is possible to have a negative output on:

Since a can take possitive values and negative ones, and since it isn't inside the absolute value barrs.

Recall that the order of operations is a rule that tells the correct sequence of steps for evaluating a math expression, this order is: Parentheses, Exponents, Multiplications and Divisions (from left to right), Addition and Subtraction (from left to right).

Simplifying the parentheses in the given expression we get:

Simplifying multiplications in the above result we get:

Finally, simplifying subtractions in the above result we get:

Answer:

The total number of equally-sized tiles on a circular floor.

Here, we are covering the region or the total space occupied by all the tiles on the floor.

Hence, the area is calculated.

The given expression is

LCM of 8 and 4 is 8, making the denominator 8.

Hence the answer is

Answer:

0.9998

Explanation:

The probability that you will not win the contest can be calculated as 1 less the probability that you will win a contest, so

1 - 0.0002 = 0.9998

Therefore, the answer is 0.9998

We have a parabola with the vertex at (0,0).

If we write the equation in vertex form, we have:

We have to find the value of the parameter a.

As the parabola is concave down, we already know that a<0.

As a<0 and y=a*x^2, the only option that satisfies this condition is y=-1/2*x^2.

Answer: y=-(1/2)*x^2 [Option C]

We write as an inverse proportion first then make an equation by multiplying by k:

Find the value of k:

Then, when x = 2, y is:

Answer: y = 42

we have that

The area of the composite figure is equal to the area of a rectangle plus the area of a right triangle

so

step 1

Find out the area of the rectangle

A=L*W

A=8*5

A=40 cm2

step 2

Find out the area of the right triangle

A=(1/2)(b)(h)

where

b=8-(2+1)=8-3=5 cm

h=5 cm

A=(1/2)(5)(5)

A=12.5 cm2

therefore

the total area is

A=40+12.5=52.5 cm2

Answer

Vertex = (-2, -1)

Axis of symmetry: x = -2

The graph of the function is presented below

Explanation

The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.

The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.

To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.

(df/dx) = 0

f(x) = (x + 2)² - 1

f(x) = x² + 4x + 4 - 1

f(x) = x² + 4x + 3

At the vertex, (df/dx) = 0

(df/dx) = 2x + 4

2x + 4 = 0

2x = -4

Divide both sides by 2

(2x/2) = (-4/2)

x = -2

We can then obtain the corresponding y-coordinate of the vertex

f(x) = (x + 2)² - 1

f(-2) = (-2 + 2)² - 1

f(-2) = 0² - 1

f(-2) = -1

So, the vertex is given as

Vertex = (-2, -1)

Although, one can obtain the vertex from the form in which that equation is given, the general form is that

f(x) = (x - x₁)² + y₁

Comparing that with

f(x) = (x + 2)² - 1

we see that,

x₁ = -2, y₁ = -1

So, Vertex: (-2, -1)

Then, the axis of symmetry will be at the point of the vertex.

Axis of symmetry: x = -2

And for the graph, we just need to obtain a couple of points on the line to sketch that.

when x = 0

f(x) = (x + 2)² - 1

f(0) = (0 + 2)² - 1

f(0) = 4 - 1 = 3

(0, 3)

when y = 0

x = -3 and x = -1

So,

(-3, 0) and (-1, 0)

(-2, -1), (0, 3), (-3, 0) and (-1, 0)

So, with these points, we can sketch the graph.

The graph of this function is presented under answer above.

Hope this Helps!!!

Explanation

For the first question

We are asked to write the equation of the circle given that

The equation of a circle is of the form

In our case

Substituting the values

For the second question

Given that

We will have to get the midpoints (center) first

Next, we will find the radius

Using the points (4,-3) and (11,-8)

We have a one-dimensional horizontal line segment. Three points are indicated on the line as follows:

In the above sketch we have first denoted a reference point at the extreme left hand as ( Ref = 0 ). This is classified as the origin. The point ( A ) is located on the same line and is at a distance of ( 21 units ) from Reference ( Ref ). The point ( B ) is located on the same line and is at a distance of ( 66 units ) from Reference ( Ref ).

The point is located on the line segment ( AB ) in such a way that it given as ratio of length of line segment ( AB ). The ratio of point ( P ) from point ( A ) and from ( P ) to ( B ) is given as:

The length of line segment ( AB ) can be calculated as follows:

We can form a relation for the line segment ( AB ) in terms of segments related to point ( P ) as follows:

We were given a ratio of line segments as ( Eq1 ) and we developed an equation relating the entire line segment ( AB ) in terms two smaller line segments as ( Eq2 ).

We have two equation that we can solve simultaneously:

Step 1: Use Eq1 and express AP in terms of PB.

Step 2: Substitute ( AP ) in terms of ( PB ) into Eq2

We already determined the length of the line segment ( AB ). Substitute the value in the above expression and solve for ( PB ).

Step 3: Solve for PB

Step 4: Solve for AP

Step 5: Locate the point ( P )

All the points on the line segment are located with respect to the Reference of origin ( Ref = 0 ). We will also express the position of point ( P ).

Taking a look at point ( P ) in the diagram given initially we can augment two line segments ( OA and AP ) as follows:

The point ( P ) is located at.

Answer:

EXPLANATION

Let's see the facts:

rate ---> 3.6 miles / 30 minutes

The unit rate is:

Unit rate = 0.12 miles/minute

Now, dividing the needed 4.8 miles by the unit rate will give us our desired number:

Time= 4.8 miles/ 0.12miles/minute = 40 minutes

The answer is 40 minutes.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have that the equation of the circle is given as follows:

Replacing:

The common ratio = 0.750 (3 decimal places)

Explanation:

Initial drop height = 72 inches

Height after the first bounce = 54 inches

common ratio = r = height on first bounce/initial height

r = 54/72

r = 0.75

The common ratio = 0.750 (3 decimal places)

Given the absolute function;

(a)

(b)

Here, we recall the absolute rule that;

Thus, we have;

(c)