Complete the square to solve 4x2 + 24x = 4.

Answer:

Step-by-step explanation:

1) Diagonal bisect the angles of Rhombus

∠CAB = ∠CAD

∠CAB = 71

2) ∠DAB = ∠CAB + ∠CAD

 ∠DAB = 71 + 71 = 142

In Rhombus, adjacent angles are supplementary

∠DAB + ∠ABC = 180

142 + ∠ABC = 180

           ∠ABC = 180 - 142

         ∠ABC = 38

3)  In rhombus, opposite angles are congruent

∠ADC = ∠ABC

∠ABC = 38

In rhombus, diagonal bisect angles

∠BDC = (1/2)*∠ADC

∠BDC= 38/2

∠BDC = 19

4) Diagonals bisect each other at 90

∠DEC = 90

5) Diagonals bisect each other

BE = DE

BE + DE = DB

7x -2 +7x -2 =24   {add like terms}

        14x - 4 =24

              14x = 24+4

              14x = 28

                 x = 28/14

                 x = 2 m

6) AB = 13m

BE = 7x - 2 = 7*2 -2 = 14 -2 = 12 m

In right angle ΔAEB,  {use Pythagorean theorem}

AE² + BE² = AB²

AE² + 12² = 13²

AE² + 144 = 169

         AE² = 169 - 144

         AE² = 25

         AE = √25

        AE = 5 m

Diagonals bisect each other

AE = EC

AC = 2*5

AC = 10 m

7)Side = 13 m

Perimeter = 4*side

                  = 4*13

 Perimeter = 52 m

8) d1 = AC = 10 m

   d2 = DB = 24 m

Area = [tex]\frac{d_{1}*d_{2}}{2}[/tex]

         [tex]=\frac{10*24}{2}\\[/tex]

          = 10 *12

          = 120 m²

Answer:

1. tan A = 1/(tan B)

Step-by-step explanation:

By definition,

tangent A = opposite / adjacent = a / b

and

tangent B = opposite / adjacent = b / a

Therefore tangent A = a/b = 1/tan(B)

Answer: Tan a=tan b

I belive

Step-by-step explanation:

Answer: (-6,8)

Step-by-step explanation:

Translation rules are

Left c units : [tex](x,y)\to(x-c,y)[/tex]

Down c units : [tex](x,y)\to(x,y-c)[/tex]

The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:

[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]

Hence, the image point is (-6,8).

Answer:

[tex](xy+1)(xy-1)[/tex]

Step-by-step explanation:

x²y²-1

=(xy)²-(1)²

=(xy+1)(xy-1)

Answer:

Step-by-step explanation:

|x-a|≤b

-b≤x-a≤b

add a

a-b≤x≤a+b

put a-b=-8

a+b=-4

add

2a=-12

a=-12/2=-6

-6+b=-4

b=-4+6=2

so |x+6|≤2

Answer:

y=3

Step-by-step explanation:

7y-(5y+4)=10

7y-5y+4=10

         -4    -4

7y-5y=6

2y=6

÷2   ÷2

y=3

Answer:

8/10

Step-by-step explanation:

10x10 is 100 8x10 would be 80 so 80/100=8/10

Answer:

8/10 = 4/5

Step-by-step explanation:

0.8 is 8-10th which means 8 divided by 10

reducing 8/10 to its lowest term since 8 and 10 has 2 as common factor, then

(8=2*4)/(10=2*5)

if 2 cancels out, then you are left with 4/5

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, please consider the following.

Option A. First week we got $200.

Week 2, we got $200+$50=$250

Week 3, we got $250+$50=$300

Week 4, we got $300+$50=$350

Week 5, we got $350+$50=$400

Week 6, we got $400+$50=$450

[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &250 &300 &350 & 400 &450\end{array}[/tex]

Option B. First week we got $200.

Week 2, we got $200+$200*10%=$200+$20=$220

Week 3, we got $220(1+10%)=$220(1.10)=$242

Week 4, we got $242(1.10)=$266.2

Week 5, we got $266.2(1.10)=$292.82

Week 6, we got $292.82(1.10)=$322.102

[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &220 &242 &266.2 & 292.82 &322.102\end{array}[/tex]

Thank you.

Answer:

Step-by-step explanation:

Given the equation solved by Ernesto expressed as [tex]\sqrt{\dfrac{1}{2}w+8}=-2[/tex], the extraneous solution obtained by Ernesto is shown below;

[tex]\sqrt{\dfrac{1}{2}w+8}=-2\\\\square\ both \ sides \ of \ the \ equation\\(\sqrt{\dfrac{1}{2}w+8})^2=(-2)^2\\\\\dfrac{1}{2}w+8 = 4\\\\Subtract \ 8 \ from \ both \ sides\\\\\dfrac{1}{2}w+8 - 8= 4- 8\\\\\dfrac{1}{2}w= -4\\\\multiply \ both \ sides \ by \ 2\\\\\dfrac{1}{2}w*2= -4*2\\\\w = -8[/tex]

Hence, the extraneous solution that Ernesto obtained is w = -8

Answer:

The correct option is;

D. 6,5

Step-by-step explanation:

TS and TU are midsegments

Segment PR = 18.2

Segment TS = 6.5

Given that TS is the midsegment of PR and PQ, therefore, TS = 1/2×QR

Which gives;

Segment QR = 2×TS = 2 × 6.5 = 13

Segment QR = 13

Given that TU is a midsegment to PQ and QR, we have that QU = UR

Segment QR = QU + UR (segment addition postulate)

Therefore, QR = QU + QU (substitute property of equality)

Which gives;

QR = 2×QU

13 = 2×QU

Segment QU = 13/2 = 6.5

The length of segment QU is 6.5.

Answer:

The number of minutes Nikki needs to listen to the radio to hear 20 commercials is 63.275 minutes

Step-by-step explanation:

The given dependent and independent variables are;

The number of minutes spent by Nikki listening = x

The number of commercials aired = y

The relationship between the independent variable, x ans the dependent variable, y, was given by the Nikki's graphing tool line of best fit as follows;

y = 0.338·x - 1.387

Therefore, the number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y is given as follows;

20 = 0.338·x - 1.387

20 + 1.387 = 0.338·x

0.338·x  =20 + 1.387 = 21.387

x =  21.387/0.338 = 63.275 minutes

The number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y = 63.275 minutes.

Answer:

C. 63 minutes

Step-by-step explanation:

Answer:

Options 3 and 4 are correct

Step-by-step explanation:

-3>1 is false bc a positive is always greater than a negative

-3=3 is false because a positive is not equal to a negative  

1<3 is correct because 1 is less than 3

-3<1 is correct because a negative is always less than a positive.

Answer:

1 < 3

–3 < 1

Step-by-step explanation:

Answer:

the answer is $27.90

Step-by-step explanation:

if you do 15 times 2.79 you will get $41.85

then do 25 times 2.79 and you will get $69.75

then subtract 69.75 from 41.85 and your answer will be $27.90

i hope this helps this is the only way i could find the answer!

$29.4864 money will you save by driving your friend's car.

Given that, your car gets 15 miles per gallon and your friend's car averages 25 mpg.

You decide to go on a road trip to St. George Island, which is 361 miles away.

A unit of volume for measuring liquids. 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces. 1 US gallon = 231 cubic inches = 3.785411784 liters exactly.

Gallons needed for your car =361/15=24.06 gallons

Cost of 24.06 gallons of gas=24.06×2.79=$69.774

Gallons needed for friends car =361/25=14.44 gallons

Cost of 4.44 gallons of gas=14.44×2.79=$40.2876

Hence, while driving a friend's car you will save 69.774-40.2876=$29.4864

Therefore, $29.4864 money will you save by driving your friend's car.

To learn more about the gallons visit:

https://brainly.com/question/9917229.

#SPJ5

Answer:

24 is a and d

25 is c

26 is b

27 is a and b

28 is b

Step-by-step explanation:

Answer:

ok so

faf

Step-by-step explanation:

Factor 20x2 + 25x – 12x – 15 by grouping.

1. Group terms with common factors.

2. Factor the GCF from each group.

3. Write the polynomial as a product of binomials.

(20x2 – 12x) + (25x– 15)

4x(5x – 3) + 5(5x – 3)

(5x – 3)(

x +  

)

Answer:

3 boxes with 4 sweets and 2 boxes with 5 sweets

Step-by-step explanation:

As per given, we have following equations:

x= 5- y as per the first equation, considering in second one:

Then:

So there 3 boxes with 4 sweets and 2 boxes with 5 sweets

Answer:

12

Step-by-step explanation:

Hello, as the coefficient of the leading term is negative we know that the vertex of the parabola is a maximum. So we need to find the vertex.

This expression is maximum for

[tex]t=-\dfrac{b}{2a} \text{ where the parabola equation is}\\\\ax^2+bx+c=0[/tex]

So, here, it gives t = 8/2=4, and then, the maximum is

[tex]-4^2+8*4-4=-16+32-4=32-20=12[/tex]

So the answer is 12.

Thanks

Answer:

351 pounds

288 x 3 = 864 pounds

864 - 261 - 252 = 351 pounds

Therefore (261 + 252 + 351)/3 = 288.

So the answer is 351 pounds

Answer:

1. (x+9)^2 = 89

2. (Choice D) D x = − 9 ± 89 x=−9± 89 ​ x, equals, minus, 9, plus minus, square root of, 89, end square root

Step-by-step explanation:

x^2 - 6 = 2 - 18x

1) rewrite the equation by completing the square

x^2 - 6 = 2 - 18x

x^2 + 18x = 2+6

x^2 + 18x = 8

Find the half of the coefficient of x and square it

18x

Half=9

Square half=(9)^2

=81

Add 81 to both sides

x^2 + 18x = 8

x^2 + 18x + 81 = 8 + 81

x^2 + 18x + 81 = 89

(x+9)^2 = 89

Check:

(x+9)(x+9)=89

x^2 + 9x + 9x + 81=89

x^2 + 18x +81 =89

2) (x+9)^2 = 89

√(x+9)^2 = √89

x+9=√89

x=√89 - 9

It can be rewritten as

x= -9 ± √89

(Choice D) D x = − 9 ± 89 x=−9± 89 ​ x, equals, minus, 9, plus minus, square root of, 89, end square root

Answer: 1/2 is correct.

Step-by-step explanation:

There are 8 total parts, and 4 of them are shaded. 4 is half of 8, therefore, your answer is 1/2.

Hope this helps!

Answer:

The answer is A

Step-by-step explanation:

because there are 4 shaded parts and 8 parts in total.

4/8=1/2

It's A

Answer:

xyz

Step-by-step explanation:

[tex](-6x)(\frac{1}{2}y)(-\frac{1}{3}z) = (-6)*\frac{1}{2}*(-\frac{1}{3}) * xyz = \frac{6}{6} xyz = xyz[/tex]

Answer:

Step-by-step explanation:

Given the expression  5 p + 6 = 7, to know the value of variable p. we need to make p the subject of the formula as shown;

Given  5 p + 6 = 7

Step 1: Subtract 6 from both sides

5p+6-6 = 7-6

5p = 7-6

Step 2: We will then divide both sides by the coefficient of p i.e 5 to have;

5p/5 = (7 - 6)/5

p =  (7 - 6)/5

Hence, the correct expression of variable p is p = (7 - 6)/5

Greetings from Brasil...

Here we will apply rule of 3...

This formula, A = πR²,  its for the whole circle, that is, 360° (2π)

We want the area of only a part, that is, a circular sector whose angle π/6

 sector           area            

    2π     -----    πR²

    π/6    -----     X

2πX = (π/6).πR²

2πX = π²R²/6

X = π²R²/12π

If Ronisha multiply the area by 1/12 she will get the area of sector with angle of π/6

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

    Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

( -Screen Shot 1 is for (A) and Screen Shot 2 is for (B) - )

A) [tex]9x + 3y = -3[/tex]

= [tex]y = -3x -1[/tex]

Xmin: -10

Xmax: 10

Ymin: -10

Ymax: 10

~~~~~~~~

B) [tex]2x - y = -4[/tex]

= [tex]y = 2x + 4[/tex]

Xmin: -10

Xmax: 10

Ymin: -10

Ymax: 10

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

y= -3x-1 and y=2x+4

Step-by-step explanation:

1. Rearrange the equations to the proper format which would be y=mx+b.

2. You can do this by adding or subtracting on both sides

- start with the first equation. subtract 9x on both sides.

- than divide 3 on both sides

- next equation subtract 2x on both sides

- divide -1 on both sides

which would get you y=-1-3x and y= 4+2x.

3. reagrange this equation again ( this step isn't always necessary)

you will get y= -3x-1 and y=2x+4

Remember M stand for the slope so your slopes for these two equations would be -3/1 and 2/1. Think about rise over run when you use slope. B is the y-intercept which means it will touch the y-axis.

Hope this helped!

Answer:

The answer is below

Step-by-step explanation:

Given that:

The radius of the circle (r) = 5 units

The central angle (θ) = 25π

A sector of a circle is the portion of a circle made up of two of its radii and an arc. The area of a sector that subtends with a central angle (θ) and a radius (r) is given by the formula:

[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2[/tex]

Substituting the radius of the circle and the central angle:

[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2\\\\Area\ of\ sector=\frac{25\pi}{360} *\pi (5)^2\\\\Area\ of\ sector=\frac{125\pi^2}{72}[/tex]

Answer:

No it's not.

Step-by-step explanation:

[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]

Integers are set of numbers consisting

It doesn't consist

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{\sf No}[/tex]

Step-by-step explanation:

[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]

Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.

Answer:

6 + 8x

46

Step-by-step explanation:

1. Write the expression

6 + 8x

2. Plug in 5 for x

6 + 8(5) → 6 + 40 = 46

Answer:

Expression=8x+6

The value of expression=46

Answer:

=2ab +abk -2m- mk

= ab(2+k) -m(2+k)

=(2+k)(ab-m)

Step-by-step explanation: