Find the area of the quadrilateral QRST by using the formula for the area of a kite. 5 units2 16 units2 10 units2 15 units2

Answer:

look below

Step-by-step explanation:

y = 2 (x + 3)^2 - 2

Geometric figure:  parabola

Alternate forms:

y = 2 (x + 2) (x + 4)

y = 2 (x^2 + 6 x + 8)

-2 x^2 - 12 x + y - 16 = 0

Expanded form:

y = 2 x^2 + 12 x + 16

Roots:

x = -4

x = -2

Properties as a real function:

Domain - R (all real numbers)

Range - {y element R : y>=-2}

Partial derivatives:

d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)

d/dy(2 (x + 3)^2 - 2) = 0

Implicit derivatives:

(dx(y))/(dy) = 1/(12 + 4 x)

(dy(x))/(dx) = 4 (3 + x)

Global minimum:

min{2 (x + 3)^2 - 2} = -2 at x = -3

Answer:

hi

Step-by-step explanation:

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

[tex]h=-16t^2 + 36t + 10[/tex] ......(1)

Part (a) :

The maximum height reached by the ball is given by :

[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s[/tex]

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

[tex]h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m[/tex]

Answer:

You could simply go to your course selection book (if there is one) and see if it's there. If not, then ask your guidance counselor for help or if you can automatically advance.

Step-by-step explanation:

I'm thinking line 2 and 3 are Parallel

Answer:

C. Lines 2 and 4 are perpendicular

Step-by-step explanation:

If you just graph them all, none of them are parallel. But lines 2 and 4 are perpendicular and so are the lines 1 and 3.

Out of the options, C. Lines 2 and 4 are perpendicular, is the only correct answer in the choices given.

Answer:

  x = 8

Step-by-step explanation:

A graphing calculator can show you the answer easily. It works well to define a function whose x-intercept is the solution. We can do that by subtracting 300 from the given equation so we have ...

  F(2, x, 4, 11) -300 = 0

The solution is x = 8.

__

We can solve this algebraically:

  F(2, x, 4, 11) -300 = 0

  2^x +4·11 -300 = 0 . . . . use the function definition

  2^x -256 = 0 . . . . . . simplify

  2^x = 2^8 . . . . . add 256

  x = 8 . . . . . . . . . match exponents of the same base

Answer:

-10

Step-by-step explanation:

Variable k is denoted as vertical movement. In this case, the -10 is k. Therefore, the graph is moving 10 units down from the parent graph.

Answer:

54 sweets altogether

Step-by-step explanation:

Jim: 27

Dan:

David:

3:2:1

The amount is divided by 6

27/3=9

Dan— 9*2=18

David— 9*1=9

18+9+27=54

Answer:

Option B is the right option

solution,

A(4,5)------->(X1,x2)

B(2,1)-------->(y1,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: = \sqrt{ {(2 - 4)}^{2} + {(1 - 5)}^{2} } \\ \: \: = \sqrt{ {( - 2)}^{2} + {( - 4)}^{2} } \\ \: \: = \sqrt{4 + 16} \\ \: \: \ = \sqrt{20} [/tex]

hope this helps....

Good luck on your assignment..

Answer:

[tex]\frac{8}{27}[/tex] is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.

Step-by-step explanation:

In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:

Red: The player pulls out a red tile first. This has a [tex]\frac{1}{9}[/tex] probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a [tex]\frac{6}{12}[/tex] probability attached to it. [tex]\frac{1}{9}[/tex] × [tex]\frac{6}{12}[/tex]=[tex]\frac{1}{18}[/tex] probability of happening.

Green: There is a [tex]\frac{5}{9}[/tex] probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be [tex]\frac{4}{12}[/tex]. [tex]\frac{5}{9}[/tex]×[tex]\frac{4}{12}[/tex]=[tex]\frac{5}{27}[/tex].

Blue: There is a [tex]\frac{3}{9}[/tex] probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is [tex]\frac{2}{12}[/tex] on its own, and them both being blue is  [tex]\frac{3}{9}[/tex]×[tex]\frac{2}{12}[/tex]=[tex]\frac{1}{18}[/tex]

Adding [tex]\frac{1}{18}[/tex]+[tex]\frac{1}{18}[/tex]+[tex]\frac{5}{27}[/tex] we get the answer [tex]\frac{8}{27}[/tex].

Answer:

[tex] \sin( \frac{31\pi}{3} ) [/tex]

= 0.537

Answer:

√3/2

Step-by-step explanation:

sin((31π/3)= sin( 10π + π/3)= sin(π/3) =√3/2

The last 2 shapes.

When you rotate both of them 360 degrees only at 180 and back at 360 it looks same.

Answer:

(x1,y1)=(−2,2)

(x2,y2)=(0,−2)

Use the slope formula:

m= y2−y1 /x2−x1

= −2−2 /0−−2

= −4 /2

=−2

Answer:

m=−2 This is the slope

So,the slope intercept form for 2 points is y-y1=m(x-x1)   m=slope  

y-y1=m(x=x1)

y-2=-2(x-(-2)     ( - and - is +) So,the final equation is:

y-2=-2(x+2)

I hope this help you :)

Answer:

[tex]\frac{13}{24}[/tex]

Step-by-step explanation:

=> [tex]\frac{3}{8} +\frac{1}{6}[/tex]

LCM = 24

=> [tex]\frac{9+4}{24}[/tex]

=> [tex]\frac{13}{24}[/tex]

Answer:

[tex]\frac{13}{24}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8} +\frac{1}{6}[/tex]

[tex]\frac{3 \times 6}{8\times 6} +\frac{1\times8}{6\times8}[/tex]

[tex]\frac{18}{48} +\frac{8}{48}[/tex]

[tex]\frac{18+8}{48}[/tex]

[tex]\frac{26}{48}[/tex]

[tex]\frac{13}{24}=0.54166...[/tex]

Answer:

Step-by-step explanation:

correct one is b

Answer:

224 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. Since the bowling ball weighs 14 pounds, we need to multiply it by 16 to get the weight in ounces.

14 * 16 = 224

The bowling ball should weigh 224 oz.

Answer: $1.35

Step-by-step explanation:

1.29 * 5% = 1.29 * 0.05 = 0.0645

0.0645 rounds down to 0.06

1.29 + 0.06 = 1.35

Answer:

35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Answer:

0.5(x)(x + 2) = 24 (A)

x² + 2x – 48 = 0 (D)

x² + (x + 2)² = 100 (E)

Question:

A question related to this found at brainly (ID:4482275) is stated below.

The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Check all that apply.

0.5(x)(x + 2) = 24

x(x + 2) = 24

x2 + 2x – 24 = 0

x2 + 2x – 48 = 0

x2 + (x + 2)2 = 24

Step-by-step explanation:

Find attached the diagram.

Area of triangle = ½ × base × height

= 0.5×b×h

base= x ft

Height = (x+2) ft

Area = 24ft²

24 = 0.5(x)(x+2)

0.5(x)(x + 2) = 24 (A)

The equations that can be used to find the lengths of the legs of the triangle must be equivalent to 0.5(x)(x + 2) = 24

On expanding this: 0.5(x)(x + 2) = 24

0.5(x²+2x) = 24

b) x(x + 2) = 24

x(x + 2) is not equal to 0.5(x²+2x)

c) x² + 2x – 24 = 0

0.5(x²+2x) = 24

0.5x²+x - 24 = 0 is not equal to x²+2x- 24 = 0

d) x² + 2x – 48 = 0

0.5(x)(x + 2) = 24

½(x)(x + 2) = 24

x² + 2x = 2(24)

x² + 2x – 48 = 0

Correct option (D)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x = 96

2(x² + 2x +48)= 0

x² + 2x +48 = 0 is equal to 0.5(x²+2x) = 24

Correct (E)

Answer:

A, D, E

Step-by-step explanation:

Answer:

RQ=35.51 km

PR=34.62 km

Step-by-step explanation:

Bearing of Q from P = 72 degrees

Bearing of R from Q=320 degrees

320=270+50

Therefore, the second angle of Q is 50 degrees.

[tex]\angle P=72^\circ\\\angle Q=68^\circ\\\angle R=180^\circ-(72^\circ+68^\circ)=40^\circ[/tex]

Using Law of Sines

[tex]\dfrac{r}{\sin R} =\dfrac{p}{\sin P} \\\dfrac{24}{\sin 40} =\dfrac{p}{\sin 72} \\p=\sin 72 \times \dfrac{24}{\sin 40}\\\\p=RQ=35.51$ km[/tex]

Using Law of Sines

[tex]\dfrac{q}{\sin Q} =\dfrac{r}{\sin R} \\\dfrac{q}{\sin 68} =\dfrac{24}{\sin 40} \\q=\dfrac{24}{\sin 40}\times \sin 68\\\\q=PR=34.62$ km[/tex]

Answer:

46

Step-by-step explanation:

=> [tex]10+7^2-14+1[/tex]

=> 10+49-14+1

=> 59-14+1

=> 45+1

=> 46

Answer:

46

Step-by-step explanation:

10+7^2-14+1

10+49-14+1

59-14+1

45+1

46

Answer:

The answer is B.

Step-by-step explanation:

Instead of solving each equation, simply think about it alternatively.

Recall that quadratic equations can also be written as: [tex](x-a)(x-b)[/tex], where [tex]a[/tex] and [tex]b[/tex] are the solutions.

We know that 1 and -3 are solutions, so we can substitute them in for [tex]a[/tex] and [tex]b[/tex].

Thus, we have:

[tex](x-(1))(x-(-3))[/tex]

[tex](x-1)(x+3)[/tex]

Now, expand:

[tex]x^2+3x-x-3[/tex]

[tex]x^2+2x-3[/tex]

The answer is B.

Answer:

-x^2+3x+3;  5

Step-by-step explanation:

polynomial is -x^2+3x+3

when x=2 then -2^2+3*2+3=-4+6+3=5

The solution is Option B.

The value of the equation is A = -x² + 3x + 3 , and when x = 2 , A = 5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = x + 3x² + 2x - 3 - 4x² + 6   be equation (1)

On simplifying the equation , we get

A = 3x² - 4x² + x + 2x - 3 + 6

A = -x² + 3x + 3

Now , when x = 2

Substitute the value of x = 2 in the equation , we get

A = - ( 2 )² + 3 ( 2 ) + 3

A = -4 + 6 + 3

A = 9 - 4

A = 5

Therefore , the value of A is 5

Hence , the equation is A = -x² + 3x + 3

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

B. Pentagon

Step-by-step explanation:

A cross-section is basically the 2D figure created by slicing through a 3D shape.

Take a look at this figure: it's a pentagonal prism. One note to remember is that for all prisms, their cross-sectional shapes are the same shapes as the shape of their bases.

Here, the two bases are pentagons, so we know the cross-section will be a pentagon.

Thus, the answer is B.

~ an aesthetics lover

Answer:

.........................?

Answer:

d

Step-by-step explanation:

To construct an angle bisector with a compass  D. Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.

An angle bisector is a line segment that divides angle into two equal parts.

According to the given statements to construct an angle bisector using a compass span any width of radius in a compass pace in onto the vertex of the angle cut the two arc on the two lines then without changing the radius draw two arcs where the previous arcs have intersected the two lines.

learn more about angle bisector here :

https://brainly.com/question/3642603

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Answer:

A = {MOPN, MPON, PMON, POMN}

Step-by-step explanation:

Everybody has already decided that Naim is the last skater, so we need to make sure the result is 'N' in each last position. As we can see all of them have this.

However, we just need to make sure that Oliver doesn't first, because even if they're attempting to decide, the question is calling for the inclusion in which "Oliver is the very first skater in the race."

A complement is all the NOT values in the package or set, so it cannot be either A = {OPMN, OMPN) or A = {MOPN,MPON, OPMN, POMN), since all of them have at minimum one case where 'O' is first.

A complement is ALL other values of the set, and it can not be A = {MOPN, PMON}, since only two possible values are included in that package or set

Answer:

Step-by-step explanation:

Its d yall

Answer:

48 feet

Step-by-step explanation:

At a particular time, objects and their shadows are proportionate.

Therefore, in figure,

AB/FD = BC/DE --- (1)

where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.

From the given information,

BC = 36 feet

FD = 4 feet and DE = 3 feet

(1) becomes

AB/4 = 36/3

AB = 12

AB = 48

Hence, the height of the lighthouse is 48 feet.

Answer:

12.5%

Step-by-step explanation:

8 / 64*100 =

(8 * 100) / 64 =

800 / 64 = 12.5

Hope this helped buddy! :D

Answer:

total memory = 8 GB + 64 GB

= 72 GB

extra memory = 64 GB

so percentage increase of memory

= ( 64 GB / 72 GB ) × 100

= 88.89 %

Answer:

Length = 7 cm

Width = 2 cm

Step-by-step explanation:

Perimeter of rectangle = 18 cm

Let length of rectangle = [tex]l[/tex] cm

Let width of rectangle =  [tex]w[/tex] cm

As per given statement, length is 3 cm more than the twice of its width:

Writing equation:

[tex]l = 2\times w +3 ....... (1)[/tex]

Formula for perimeter of a rectangle is given as:

[tex]P = 2 \times (Length + Width)[/tex]

OR

[tex]P = 2 \times (l + w)[/tex]

Putting values of P as given and [tex]l[/tex] by using equation (1):

[tex]18 = 2 \times (2w +3 + w)\\\Rightarrow \dfrac{18}2 = 3w +3 \\\Rightarrow 9 = 3w +3\\\Rightarrow 3w = 9 -3\\\Rightarrow w = \dfrac{6}{3}\\\Rightarrow w = 2\ cm[/tex]

Putting value of [tex]w[/tex] in equation (1):

[tex]l = 2\times 2 +3 \\\Rightarrow l = 4+3\\\Rightarrow l = 7\ cm[/tex]

So, the dimensions are:

Length = 7 cm

Width = 2 cm