On a coordinate plane, line k l goes through (negative 6, 8) and (6, 0). point m is at (negative 4, negative 2). which point could be on the line that is parallel to line kl and passes through point m?

The information about the coordinate plane shows that the slope of XV is 1.

From the information, the slopes of the diagonals are negative reciprocals. Therefore, the slope of UW is -1 and the slope of XV is 1.

The diagonals of kite UVWX are perpendicular.

It should be noted that negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.

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Answer:

Step-by-step explanation:

The slope of XV is

1

The slope of UW is

–1

The slopes of the diagonals are

negative reciprocals

The diagonals of kite UVWX are

perpendicular

.

Answer:

1/2 pounds

Step-by-step explanation:

3/4 * 2/3 = 1/2 pounds

Answer:

62,500

Step-by-step explanation:

250,000 ÷ 4 = 62,500

∴ Each member would receive 62,500.

The statement (inequality) which best describes all possible values of m is: -12 < m < 4.

An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

The table indicates two local extremes or potential turning points at x = 1 and x = -1. Thus, the value of m can't exceed f(-3) = -12.

In conclusion, the statement (inequality) which best describes all possible values of m is: -12 < m < 4.

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Answer:

a  =   1.5 in.

Step-by-step explanation:

Use the Pythagoras Theorem:

1.7^2 = a^2 + 0.8^2

a^2 = 1.7^2 - 0.8^2

      = 2.25

a  =   1.5 in.

Answer:

a = 1.5 in.

Explanation:

Using Pythagoras theorem:

a² + b² = c²

insert values

a² + 0.8² = 1.7²

a² = 1.7² - 0.8²

a² = 2.89 - 0.64

a² = 2.25

a = √2.25

a = 1.5

Answer:

y=-2/3x-7/3

Step-by-step explanation:

a parallel line has the same slope but different y intercept

so we need to solve for y=-2/3x+b

since it passes through 4,-5 we can plug it in for x and y

-5=-2/3(4)+b

-5=(-8/3)+b then add 8/3 to both sides

-5 is also -15/3

-7/3=b

so answer is y=-2/3x-7/3

Answer: [tex]y+4=-\frac{1}{3}(x+6)[/tex]

Step-by-step explanation:

The slope of the given line is 3, so the slope of the line we want to find is -1/3.

Substituting into point-slope form, we get the equation of the line to be

[tex]y+4=-\frac{1}{3}(x+6)[/tex].

Answer:

Creditable

Step-by-step explanation:

Could also be:
up-to-date

The first graph represents sin(2x), the second graph represents sin(-x) and the third graph represents sin(x/2) .

There are some rules for transformation of graph of various functions which are as follows :-

 By keeping in mind these rules it is easily observable that the first graph is sinx squashed horizontally by a factor of 2 while second graph is reflection of sinx about the y-axis and the third graph is sinx horizontally stretched by a factor of 2.

Thus the first graph represents sin(2x), the second graph represents

sin(-x) and the third graph represents sin(x/2)

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Answer:

x = 20°

f = 40°

Step-by-step explanation:

4x + 5x = 180°

because a straight line is 180°

so 9x = 180°

1x = 180 ÷ 9

1x = 20

all angles in a triangle add together is 180°

so 7x + f = 180°

1x = 20

7x = 20 × 7

7x = 140°

f = 180° - 140 °

f = 40°

Answer:

x = 20 , f = 40

Step-by-step explanation:

4x and 5x are a linear pair and sum to 180° , then

4x + 5x = 180

9x = 180 ( divide both sides by 9 )

x = 20

then

5x = 5 × 20 = 100° and 3x = 3 × 20 = 60°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

5x is an exterior angle of the triangle , then

f + 3x = 5x , that is

f + 60 = 100 ( subtract 60 from both sides )

f = 40

Answer:

$4.20

Step-by-step explanation:

1+1+.50+.50+.35+.35+.25+.25=4.20

The minimum red blood cells count that can be in the top 28% of accounts is 5.61%.

Red blood cells, also called crimson cells, purple blood corpuscles, haematids, erythroid cells, or erythrocytes, are the maximum common type of blood cells and the vertebrate's primary approach of delivering oxygen to the body tissues thru blood drift thru the circulatory device.

A low RBC depends, also called anemia, can have an effect on the frame's capability to transport oxygen and vitamins around the cardiovascular machine. it may reason fatigue, dizziness, and heart palpitations. The maximum not unusual form of anemia is iron deficiency anemia. this can result from blood loss, malnutrition, or kidney problems.

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Answer:

Answer:

1.320000

2. 0.057

Step-by-step explanation:

The water pipe sometimes bursts in winter because of the flowing water getting transformed into freezing water due to drop in temperature and the volume increases creating more pressure on the wall pipes.

Bursting of Water Pipes During a Very Cold Winter

The straightforward explanation is that during very cold winters, as water freezes into ice, it expands, causing solid ice to fill a larger volume than the liquid that was previously flowing through the pipes.

As we know that, the pressure P increases with increase in volume, V, the increased volume of frozen water leads to increase in the pressure inside the pipe.

The pressure that the ice builds up inside the pipes could rupture the pipe walls.

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The weight that separates the top 4% is x = 7.87 (round nearest hundredth) .

The weight that separates the bottom 4% is x = 7.63 (round nearest hundredth).

The majority of the observations are centred around the middle peak of the normal distribution, which is a continuous distribution of probability that really is symmetrical around in its mean.

The probability for values that are farther from of the mean tapered down equally both in directions.

Now, use z-chart to find the z-value for that separates the top 4% and the bottom 4%.

The values of z = +1.75 and z = -1.75

Let the weight of the machines be 'x'.

Use the formula for z- value

z = (x -  μ)/ σ

Where,

σ  is standard deviation =  0.07 ounces.

μ is mean = 7.75 ounces.

Substitute all the values and calculate the weight.

case 1: when z = +1.75

1.75 = (x - 7.75)/0.07

x  = (1.75×0.07) + 7.75

x = 7.872

x = 7.87 (round nearest hundredth)

case 2: when z = -1.75

-1.75 = (x - 7.75)/0.07

x  = (-1.75×0.07) + 7.75

x = 7.6275

x = 7.63 (round nearest hundredth)

Therefore,

x = 7.87 (round nearest hundredth) is weight which separates top 4%.

x = 7.63 (round nearest hundredth) is weight which separates bottom 4%.

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The  C is perpendicular to AB

When using paper, the paper perpendicular te construct to is folded so that AB is divided equally and the two sides of. line AB will lie exactly on top of each other.

When using a reflective device to construct a live perpendicular to line AB, set One end of the device to coincide with point C, and then swing the other end of the device so that the reflection of line AB coincides with the midpoint of AB

The question is incomplete hence the complete question is shown here

Select the correct answer from the drop-down menu. Compare the steps for constructing a perpendicular line to line  through point  using a reflective device and using paper. , When using paper to construct the perpendicular line, the paper is folded so that and the two sides of line  will lie exactly on top of each other. When using a reflective dewice to construct a line perpendicular to line  , set one end of the device to coincide with , and then swing the other end of the device so the reflection of line  coincides with.

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Answer:

I toke the test, I think the first one is A and  B coincide

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use the Pythagorean theorem, 7^2+24^2=25^2

49+576=625

625=625

All the other answers do not satisfy the Pythagorean theorem (a^2+b^2=c^2)

Answer: A, B

Step-by-step explanation:

A right triangle's sides have a special property that the sum of the squares of the two legs is equal to the square of the hypotenuse. This is also known as the Pythagorean Theorem.

Let's check if this theorem holds true for each triangle.

[tex]11^2+13^2=(\sqrt{290})^2\\ 121 + 169=290\\ 290 = 290[/tex]

The Pythagorean Theorem holds true, so this is a right triangle.

[tex]7^2+24^2=25^2\\ 49 + 576 = 625\\ 625=625[/tex]

The Pythagorean Theorem holds true, so this is a right triangle.

[tex]2^2+5^2=7^2\\ 4+25=49\\ 29 = 49[/tex]

This is a false statement, which doesn't make this triangle a right triangle. We could have use the triangle inequality theorem to prove that this isn't a triangle at all, and therefore not a right triangle, but I encourage you to learn about it and try it yourself.

An exponential expression is one in which a number has been raised to a certain power.

An exponential expression is one in which a number has been raised to a certain power.

Now;

1) 3^2 . (3^3)^2 . 3^-8 = 3^2 + 6 - 8= 3^0 = 1

2) (3^2) (2.3)^-3/2^-2 = 3^2 . 2^-3 . 3^-3/2^-3 = 1/3

3) (2^-1) . (3 . 2)^4/(3 . 2)^3 = 2^-1. 3^4 . 2^4/ 3^3. 2^3 = 3

4) 2^5 . 3^5 . 6^-5 = 32 * 243/7776 = 1

5) (2^3) . (2 . 3)^-1/2^2 = 2^3 . 2^-1 . 3^-1/2^2 = 1/3

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Answer:

math math math math math math math math math math

Answer:

-9/2

In alternate forms -4•5,-4 1/2

The value of X is 2/3 and -3/2.

According to the statement

we have given equation is 6x^2+5x-6 =0

and we have to find x by the factorization.

Factorization defines the the operation of resolving a quantity into factors.

So, by factorization method the equation is written as

6x^2+5x-6 =0

After forming factors the equation becomes

6x^2+9x-4x-6 =0

3x(2x+3) -2(2x+3) =0

By taking common

(3x-2) (2x+3) = 0

Now equate values equal to 0. and after that the output will get in the form of value of X.

Here the value of x is 2/3 and -3/2

So, the value of X is 2/3 and -3/2.

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The pig pen is 14 sq. meters larger than the chicken pen built by the former.

Consider a rectangle with length 'L' and width 'W'.

So, its perimeter = 2(L + W) units and area = L × W sq. units.

It is given that a farmer built a rectangular pen for chickens.

The chicken pen's perimeter is 12 meters, and she used only one side of the barn as one length of the rectangular pen.

So,

L + 2W = 12

⇒ L = 12 - 2W

Then its area is calculated as below:

Area = L × W

        = (12 - 2W) W

        = 12W - 2W²

Consider A' = 0 for finding the larger area.

So, differentiating the area w.r.t W,

dA/dW = 12 - 4W

0 = 12 - 4W

⇒ 4W = 12

∴W = 3 meters

Then,

L = 12 - 2W = 12 - 2(3) = 6 meters

So, the area of the chicken pen = 6m × 3m = 18 m²

It is given that,

The length of the pig pen was 2 meters more than the length of the chicken pen. I.e., L' = L + 2

The width of the pig pen was 1 meter more than the width of the chicken pen. I.e., W' = W + 1

On substituting L and W values to find the dimensions of the pig pen,

L' = 6 + 2 = 8m

W' = 3 + 1 = 4m

Then,

Area = L' × W'

        = 8m × 4m

        = 32 m²

Finding how much larger is the pig pen than the chicken pen:

Area of the pig pen - Area of the chicken pen

⇒ 32 m² - 18 m² = 14 m²

Therefore, the pig pen is 14 m² larger than the chicken pen.

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The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.

Using the point slope equation,

y = mx + b

where

Therefore, using (-3, 0)

0 = -3m + 12

-12 = -3m

divide both sides by -3

m = -12 / -3

m = 4

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The domain of the function f(x) is:

11 ≥ x

Here we have the function:

[tex]f(x) = \sqrt{11 - x}[/tex]

Now, remember that the argument of a square root can only be a number equal to or larger than zero, so the domain of our function is defined by:

11 - x ≥ 0

Then, solving this for x, we get:

11 ≥ x

Concluding, the domain of the function f(x) is:

11 ≥ x

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Answer:

x=40

Step-by-step explanation:

first you simplify both sides of the equation, then you isolate the variable

40/4= 10

10 times 3/2 = 15

$662.18 needs to be saved per month.

$90,000 now at 3% inflation will become 90000*1.03^30 after 30 years.

i.e.  $218,454 is required in retirement years (for 20 years)

Calculating the PV of these payments at 7% is calculated as below.

FV = 0

1/y = 7%

n=20; PMT = 218454; calculate PV = $2,314,305

Now we want to get $2,314,305 at the start of retirement by saving per year. Enter the following in the financial calculator to get the per month amount.

FV = 2314305; PV = 0; n= 12*30; 1/y = 12%/12; calculate PMT  = $662.18

So $662.18 needs to be saved per month.

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Answer:

[tex]5 \cos( \frac{2\pi x}{7} ) [/tex]

The period of the given graph is 2π.

A period is the amount of time between two waves, whereas a periodic function is one whose values recur at regular intervals or periods. In other terms, a periodic function is one whose values recur after a specific interval.

This specific time span indicated above is the function's period.

The length of one function wave is referred to as the period.

The sine and cosine functions have a period of 2π radians, or 360 degrees. The period of the tangent function is π radians, or 180 degrees.

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