Graph the equation y=1/2x

Answer:

Step-by-step explanation:

Triangles ADB and CDB are congruent, so each is half the total area. The area of ADB is ...

  A = 1/2bh

  A = 1/2(DB)(1/2AC) = 1/4(DB)(AC)

The area of the kite is twice this value:

  A = 1/2(DB)(AC)

__

In order to use the formula derived in part 1, we need to know the length of BE. That can be found using the Pythagorean theorem:

  BE² +AE² = AB²

We know that AE = 1/2AC, so the desired dimension is ...

  BE = √(AB² -(1/4)AC²)

Then the area of the kite is ...

  area = 1/2(DB)(AC)

  area = (1/2)(AC)(ED +√(AB² -(1/4)AC²)

__

Given three sides of a triangle, the area of it can be found using Heron's formula. If you have not yet seen that in your geometry class, you can always use the Pythagorean theorem and some algebra.

As before, we need to know the lengths of the diagonals. One is given. The other can be found considering the Pythagorean relations:

  AD² = AE² +DE²

  AB² = AE² +BE²

  BE +DE = BD . . . . the sum of the horizontal diagonal lengths

Subtracting the second equation from the first gives ...

  AD² -AB² = DE² -BE²

Using the third to write an expression for DE, we get an equation for BE:

  AD² -AB² = (BD -BE)² -BE²

  AD² -AB² = BD² -2BD·BE +BE² -BE²

  (AB² +BD² -AD²)/(2BD) = BE

Substituting this into the original second equation, we can find AE, hence the area of the kite.

  AE² = AB² -((AB² +BD² -AD²)/(2BD))²

Which means the kite area is ...

  area = BD·AE = BD√(AB² -((AB² +BD² -AD²)/(2BD))²)

  area = (1/2)√(4·AB²·BD² -(AB² +BD² -AD²)²

This area formula demonstrates it is possible to find the area of the kite given the three lengths AB, BD, DA.

_____

Additional comment

We have no doubt that the area formula of Part 3 can be rearranged to match Heron's formula. Here, we're interested in demonstrating area can be found.

Answer:

5

Step-by-step explanation:

3x5 = 15

20-15 = 5

Answer:

5

Step-by-step explanation:

20-3x5=

3x5=15

20-15=5

hope this helps!!

Answer:

there are 3.75 cups of bleach in 5 batches of the cleaning solution.

Step-by-step explanation:

Answer

1/13 (non-simplified: 4/52)

Step-by-step explanation:

there are a total of 4 kings, and there is a 4 in 52 chance of drawing a king. that equates to 4/52 which simplifies to 1/13

please shoot a comment if you have an questions.

hope this helped, have a good day :)

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]

please like

Answer:

  undefined

Step-by-step explanation:

Slope is a measure of the vertical change relative to the horizontal change. On an x-y graph, it will be the difference in y-coordinates divided by the corresponding difference in x-coordinates. It is often referred to using the letter m.

  m = (y2 -y1)/(x2 -x1) . . . . . slope of line between points (x1, y1) and (x2, y2)

It does not matter which points you call point 1 and point 2.

__

For the points given on the graph we can compute the slope to be ...

  m = (2 -(-3))/(-1 -(-1)) = 5/0

The zero in the denominator makes this value "undefined." So, we say the slope of any vertical line is "undefined."

Step-by-step explanation:

given hypotenuse (H), find opposite (O) :

using sin ( SOH),

sin 45° = opp. / hyp.

sin 45° = x / 4√2

x = 4√2 × sin 45°

x = 4

hope this helps you!

-s.

Answer:

the value of h is 16

Answer:

B) A market equilibrium price less than $30

Step-by-step explanation:

When the supply curve increases, it shifts to the right, making the market equilibrium price lower because the oversupply of the quantity causes demand to drive down.

Answer:

Tennessee

Step-by-step explanation:

Answer: 230

Step-by-step explanation:

Answer:

230.582

Step-by-step explanation:

math, sorry if its wrong im not good with math

Answer:

3x2+(24)(x-(17)

############

Step-by-step explanation:

c² = a² + b² - 2ab cosC

or, c² = 22² + 27² - 2(22)(27) cos105

or, c² = 484 + 729 - 1188 (cos105)

or, c² = 1520.48

so, c = 38.99

so, c = 39 ft. approximately (missing side)

Answer: Pam has 7 and Bill has 11

Step-by-step explanation:

Answer:

Bill has 11 stickers

Step-by-step explanation:

7+4=11 and 11+7=18

18 is the amount that both Pam and Bill have.

Step-by-step explanation:

"find" ?

the equations are already there.

do you mean solve in the sense of finding the zero points of the equations ?

if so,

the general solution of a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

3(3x² + 1) = 12x

9x² + 3 = 12 x

9x² - 12x + 3 = 0

a = 9

b = -12

c = 3

x = (12 ± sqrt(144 - 4×9×3))/18 = (12 ± sqrt(144-108))/18 =

= (12 ± sqrt(36))/18 = (12 ± 6)/18

x1 = (12 + 6) / 18 = 18/18 = 1

x2 = (12 - 6) / 18 = 6/18 = 1/3 = 0.3333333...

9y² - 12y - 14 = 0

same thing, we just use y instead of x.

a = 9

b = -12

c = -14

y = (12 ± sqrt(144 - 4×9×-14))/18 = (12 ± sqrt(144+504)/18 =

= (12 ± sqrt(648))/18 = (12 ± sqrt(324×2))/18 =

= (12 ± 18×sqrt(2))/18

y1 = (12 + 18×sqrt(2))/18 = 12/18 + sqrt(2) = 2/3 + sqrt(2) =

= 0.942809042...

y2 = (12 - 18×sqrt(2))/18 = 12/18 - sqrt(2) = 2/3 - sqrt(2) =

= -0.747546896...

Answer:

[tex] \huge{ \boxed{ \tt - 84}}[/tex]

Step-by-step explanation:

[tex] \sf \rightarrowtail - 42(y + 31)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42( - 29 + 31)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42(2)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42 \times 2[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 84[/tex]

Answer:

y=2, x=5

Step-by-step explanation:

we can subtract the system of equations to eliminate x and to find the value of 1 y

x+3y=11

minus

x+2y+9

=y=2, now we can replace the value y (2) into either equation to find the value of x

x+3(2)=11

x+6=11

x=5

Answer:

Alright breakdown

Step-by-step explanation:

#7. Constant of Proportionality.

divide the 276 by the 184: 276 / 184

which will give you an answer: 1.5

now, multiply 208 by 1.5: 312

Answer: YES

#8 same context, 300 / 425: 0.70

680 x 0.70 : 476

Answer NO

Step-by-step explanation:

total capacity =1550l

water drained rate= 28%

amt of water drained =28% of 1550 =434l

now,

water left the tank =1550l-434l =1116l

Answer:

There are 102 students in each period.

It took Lin's dad about 3.6 miles for him to meet up with his family.

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let d represent the distance travelled by Lin to meet up with his family. Hence:

Total time for Lin's Dad = d/0.24 + 5

Total time for Lin = d/0.18

Hence:

d/0.24 + 5 = d/0.18

100d/24 + 5 = 100d/18

1800d + 2160 = 2400d

d = 3.6 miles

Find out more on Speed at: https://brainly.com/question/4931057

Answer:

Vertex: (0, -4)

Graph: I can't share a link so you can go to desmos and paste your equation

Step-by-step explanation:

the vertex is where the axis of symmetry meets with the parabola.

The axis of symmetry is (-b)/(2a) which equals 0 because there is no linear x value

therefore,

y=3(0)^2-4

=-4

so the vertex is (0, -4)

to find the other points, list two x values larger than 0 and substitute into the equation to find y

list two x values smaller than 0 and substitute to find the points on the left of the vertex.

The value of x is equal to -5/6

To solve this question, we have to add two polynomials together. The polynomials are;

This involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.

In this given question, let's add the polynomials together.

[tex](3x^2+3x+5) + (7x^2-9x = 8\)\\3x^2 + 7x^2 + 3x-9x+5-8 =10x^2-6x-3[/tex]

Now, let's equate this with the last polynomial given

[tex]10x^2-6x-3=10x^2-12x-13\\10x^2-10x^2-6x+12x-3+13\\0+12x+10\\12x=-10[/tex]

Let's solve for x

[tex]12x=-10\\x=-\frac{10}{12}\\x = -\frac{5}{6}[/tex]

The value of x is equal to -5/6

Learn more on addition of polynomials here;

https://brainly.com/question/4142886

Answer:

C. Quadrant I

Step-by-step explanation:

For a fact, that with radioactive substance it will decay and never stop halving itself. So the line of amount of radioactive substance always halves in a specific time. This type of graph are done in a positive unit grids, never on a negative because that would mean, the radioactive substance rather decaying, its absorbing. So the answer will be Quadrant I.

Visual likewise graph given below.

Answer:

Step-by-step explanation:

Both the time and the amount of the substance are positive.

Since both input and output are positive, it is possible in the fist quadrant.

Correct choice is C

Answer:

179g

Step-by-step explanation:

1ounce = 28g

7 ounces = 196g

375g - 196g

179g

The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.

An experimental study is one in which there is a dependent variable and there is a dependent variable. Also a control is used to establish the validity of the results.

In this case the dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.

The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.

Learn more about experiment: https://brainly.com/question/9199868

To determine 1) the proportions of the populations for the different schools for the year 2015-2016, and 2) the proportion of the School of Nursing enrollment for the three school years, the following calculations must be made:

Therefore, 1) in 2015-2016, 8.54% of students enrolled in AM, 25.89% in dentistry, 5.19% in ELAMS, 14.99% in Med. Tech, 1.37% in nursing, 12.49% in NHM, 4.69% in optometry, 15.61% in pharmacy, 7.89% in Sci. Tech, and 3.29% in Grad. Sch.; and 2) the proportion of the School of Nursing enrollment for the three school years was 1.37%, 1.20% and 1.06% respectively.

Learn more about proportions in https://brainly.com/question/2548537

Answer:

Denise types faster.

Step-by-step explanation:

In order to get to 12 minutes you must times 4 by 3. When you do this you also must time 13 by 3. That number is greater than Nancy's typing rate, so that means Denise is faster.

Answer:

Personally they both type slow but denise

Step-by-step explanation:

because denise is averaging 3 words 1 minute and nancy is averaging 2 words a minute I type an average of 48 Words per miniute

Step-by-step explanation:

first you convert 3 3/4 to an improper fraction

also convert 12/3to an improper fraction

3 3/4= 15/4

1 2/3=5/3

15/4 x5/3

=75/12

To mixed fraction it is 6 1/4