If LM = 14 and MN = 11, what is KM?Write your answer as a whole number or as a decimal rounded to the nearest hundredth

Area = length x width

Area = 144km^2

length = 16km

width = y

144 = 16 x y

y = 144/6 = 26 km

y = 24km

We want to find the unknown value b in the following equation

-11b + 7 = 40

Since both sides are the same we can substract 7 both sides and it will be true

-11b + 7 - 7 = 40 - 7

-11b + 0 = 33

-11b = 33

We want to have just b in one side of the equation, we can divide both sides by -11, since they are equal:

-11b = 33

A' = (3, -1)

B' = (0 -3)

C' = (2, -4)

Given:

A = (1, -3)

B = (3, 0)

C = (4, -2)

First we will apply the 90 degrees counterclockwise rotation:

interchange x and y, then negate the new x value

Next we will apply reflection over the x axis:

negate y coordinate while keeping x coordinate constant

Answer:

B

Answer:

14z + 8y

Explanation:

Given the equation 8z + 5y + 6z + Зу

first is to collect the like terms;

8z + 5y + 6z + Зу

= (8z + 6z) + (5y + 3y)

= 14z + 8y

Hence the simplified form is 14z + 8y

The slope-intercept form is:

Where m is the slope and b is the intercept.

For two lines to be parallel they have to have the same slope. So a line parallel to

Has m = -4. So until now we have this equation:

To find the intercept b we use the given point (5,-7). We just have to replace these values of x and y into the equation above and solve for b:

So there we have the complete equation of the asked line:

And the graph is:

If C = $19600, V = $ 15528 and r = 0.12, we have:

We need two ordered pairs of the table

(12,6)=(x1,y1)

(14,8)=(x2,y2)

the equation is

the equation is

y=x-6

The rotation is 90 degree about the origin. The rule can be express below

Therefore,

Note this is a clockwise 90 degree rotation.

Albert

Compound interest formula:

where:

A: final amount

P: principal

r: annual interest rate, as a decimal

t: time in years

n: number of times interest applied per year

Substituting with P = $1000, r = 0.012 (= 1.2/100), n = 12 (interest is compounded monthly), t = 10 years, we get:

If $500 lost 2%, then it keeps 98% of its original value, that is,

$500x98% = $490

Continuous compound formula:

where the variables have the same meaning as before.

Substituting with P = $500, r = 0.008 ( = 0.8/100), and t = 10 years, we get:

The balance of Albert’s $2000 after 10 years is:

$1127.43 + $490 + $541.64 = $2159.07

Marie

Substituting in the compound interest formula with P = $1500, r = 0.014 (= 1.4/100), n = 4 (interest is compounded quartely), t = 10 years, we get:

The average rate of change of a function over a interval [a,b] is given by:

Where, in this case:

Answer:

D. 3

Step 1

Write the trigonometric expression

Step 2:

Step 3

Final answer

We have that Sarah spends 2/3 of $1,830 in rent food and clothing

In order to find the money she spends, we just have to divide $1,830 in 3 and multiply the result by 2:

SOLUTION

Total outcomes = 12 puzzles + 16 boxes of crayons + 2 bouncy balls = 30.

Probability of anything but bouncy ball means the probability of drawing out a box of crayons or probability of drawing out a puzzle.

We can think of a hexagon in the next way:

This is, a shape made of 6 smaller triangles. So, we only need to calculate the area of one of those triangles and multiply it by 6

There is something interesting, each of the angles of every one of the triangles is 60°, those are equilateral triangles. So, let's focus on one triangle:

Notice that the blue line is the height of the triangle, that's what we need to find it's are using the formula:

So, to calculate the height we use the Pythagoras Theorem

Finally, the area of one of the triangles is:

And, by multiplying the previous result by 6, we get the area

Lets draw a picture of the rectangle:

From our figure, we can note that triangle ABC is a right triangle, so we can apply Pythagorean theorem, that is

which gives

If we move 16 to the right hand side, we get

Then, x is given by

since 48 = 16 x 3, we get

therefore, the answer is

which is the measure of the longer side.

Given:

The geometric series

-4, -6, -9, -27/2, -81/2

Required:

Choose the correct option.

Explanation:

The given series is:

-4, -6, -9, -27/2, -81/2

The nth term of the geometric series is given by the formula:

Where a = first term and r = common ratio

From the given series

a = -4

Thus the nth term is:

Final Answer:

ANSWER:

A.

STEP-BY-STEP EXPLANATION:

Because a full turn is a total of 360°, since there are 6 sides, each side represents 60° (360°/6).

They tell us that point C. is rotated counterclockwise 120°.

Therefore, it would be to rotate two sides in that sense counterclockwise, since 120°/60° = 2

If we look closely, the artist who meets these characteristics is A.

we have that

1 ft=12 in

so

L=48 in

Convert to ft

48 in=48/12=4 ft

W=24 in

24 in=24/12=2 ft

therefore

the area is (4*2=8 ft2)

To solve the exercise you can use a rule of three.

Let us first find the usual price of jeans:

Then, the usual price of the jeans is $30.

Now, let us find the discounted price of the jeans

Therefore, today the jeans sell for $24.

First, remember how does the graph of the function f(x) = tan(x) look:

For the inverse of a function to exist, the function has to be an injective function.

A function is injective if it passes the horizontal line test.

Since the function f(x) = tan(x) is periodic and its period is equal to π, its domain must be restricted to an interval of length π in order to pass the horizontal line test.

If we keep the piece of the graph that passes through the origin, we must restrict the domain of the tangent function to the interval (-π/2,π/2) for the function to be injective, and thus for the inverse of the function to be defined.

Therefore, in both cases the answer is:

In the first part, we have the followed expression:

Wants to know the value of it when x=10, so we just need to substitute the value in the expression, wich gives us:

In the second part, we have the expression:

And we want to know the value of it when b=5 and h=6, so lets substitute those values in our expression:

The given expression :

Simplify :

SOLUTION

(a) The vertex of the parabola

Now,

From the initial equation we have

Therefore, the vertex of the parabola is (-3, -1)

(b) The parabola opens at?

Let us see the graph of the parabola

From the image, we can see that the Parabola opens right

(c) The focus

This can be determined using the formula

Now, the focus has coordinates (6, -1). Looking at the graph, we can see that from the point x = 6, the focus is 3 units away from the vertex.

(d) The directrix is read from point x = 0.

So, reading from x = 0, from the graph we can see that directrix is 6 units away from thr focus

From our explanation above, we can see that

(e) The focus is the point (6, -1)

(f) And the directrix is

The solution graph of the system of inequalities : y> 3 and y< |x-2| is attached below.

The given inequalities are:

y>3 and y< |x-2|

Now we will solve y< |x-2|

applying absolute value we get

x - 2 < -y or x - 2 > y

Now we will solve the two equations graphically.

Using the graph we can clearly see that the red part represents the inequality y< | x - 2 | while the blue part denotes the inequality y > 3

Hence the solution of the two inequalities will be the region shaded by both the graphs.

Any monotonically increasing function can, by definition , be applied both for sides of just an inequality without distorting their relationship as long as both expressions fall inside the scope of the function. If a monotonically falling function are applied to both sides of an inequality, the inequality relation might be reversed.

To learn more about inequality  visit:

https://brainly.com/question/20383699

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Theorem 1:

Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram.

Jc, this is the correct answer:

As you can see in the scatter plot, the more time one of the physical trainer's client exercises, the less weight he or she has. However, we don't have any evidence that the cause of this is exclusively the time of exercise, more likely there would be other reasons or factors involved.

In consequence, the right answer is D.

We have to find the transformations that led from polygon ABCD to WXYZ.

As the shapes are not equally oriented, we have to find if one of the transformation is a rotation or a reflection.

We can fin this by looking at the position of corresponding sides. So first, we have to find corresponding sides of the two polygons. The polygon WXYZ has also a scale transformation, so its size is proportional, with a proportion greater than 1 as it is bigger, to the size of ABCD.

Each side in the pre-image has a corresponding side in the image. Each corresponding side in the image will be k times bigger than the side in the pre-image, and this k is the same for the four sides.

We can look at the sides that are parallel to the axis, BC and CD, and see that CD is longer than BC. If we look at WXYZ, YZ is longer than YX.

Then, we can conclude that YZ and CD are corresponding sides as BC and YX.

The scale factor is k = 2 as YZ is twice as long as CD.

Then we can see, by the position of BC and CD respect to YX and YZ that no rotation can convert the pre-image into the image, so the orientation of the image is due to a reflection with axis of symmetry at x = 7.

Then, after the reflection, the image is dilated with a factor k = 2.

Answer:

B. A reflection of polygon ABCD followed by a dilation of the image with a scale factor of 2.

Answer:

B

Step-by-step explanation:

plato

ANSWERS

• g(x) = f(x) - 2

• h(x) = -f(x)

• m(x) = f(x) + 7

EXPLANATION

The values on the table of function g(x) are all 2 less than the values of f(x). Therefore g(x) = f(x) - 2.

The values of function h(x) are all the opposite of the values of f(x). Therefore h(x) = -f(x).

The values of function m(x) are all 7 more than the values of f(x). Therefore m(x) = f(x) + 7.

Explanation

Step 1

when two lines intersect, vertical angles that are equal are formed.Also two angles are Supplementary when they add up to 180 degrees

then

and

Step 2

solve for x,

we just take the positive number, because we are searching for an angle ( angles and distance are always positives)

then

Step 3

replace the value of x in the angle AEC

replace the value of AEC in equation (2) to find CEB

I hope this helps you.