HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer 1

Answer:

x=6

Step-by-step explanation:

x-2 = sqrt(28-2x)

Square each side

(x-2)^2 = (sqrt(28-2x))^2

(x-2)^2  = 28-2x

FOIL

x^2 -4x+4 = 28-2x

Subtract 28 from each side

x^2 -4x+4-28 = 28-2x-28

x^2 -4x-24=-2x

Add 2x to each side

x^2 -2x-24=-2x

x^2 -2x+2x-24=-2x+2x

x^2-2x-24 =0

Factor

(x-6)(x+4)=0

Using the zero product property

x=6  x=-4

Check for extraneous solutions

x=6

x-2 = sqrt(28-2x)

6-2 =sqrt(28-12)

4 = sqrt(16)

4=4

Solution

x=-4

x-2 = sqrt(28-2x)

-4-2 =sqrt(28+8)

-6 = sqrt(36)

-6=6

Not a solution


Related Questions

A toy manufacturer uses 1,000 plastic wheels to make 250 toy trucks. If they use 3,584 plastic wheels in an 8 hour shift, how many toy trucks are made per hour?

Answers

Answer:

112 trucks

Step-by-step explanation:

so you take ratio:

1000-250

3584-x

x=896

and after you divide 896 by 8 hours and get 112

hope it helped you

Write the equation 4x + 2y = 5 in the form y = mx + b.

Answers

Answer:

4x+2y-5=0

Step-by-step explanation:

since you have to put the problem in that order you take 5 from both sides

Answer:

The correct answer is y = -2x + 5/2

Step-by-step explanation:

y = mx + b.  is the y intercept form of a line.

To find the  y = mx + b. form

It is given that,

4x + 2y = 5

2y = -4x + 5

Dividing both sides by 2 we get,

2y/2 = (-4x + 5)/2

y = -4x/2 + 5/2

y = -2x + 5/2

Here m = -2 and b = 5/2

use the factor theorem to determine whether the first polynomial is a factor of the second polynomial
x-3 ; 2x^2-4x+30

Answers

Answer:

not a factor

Step-by-step explanation:

If (x - 3) is a factor then f(3) = 0

f(x) = 2x² - 4x + 30

f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0

Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)

Chris spent $8 on lunch. 75% was spent on a sub ad the rest was used to buy two cookies. How much was each cookie?

Answers

Answer:

1 dollar.

Step-by-step explanation:

"Chris spent $8 on lunch. 75% was spent on a sub ad the rest was used to buy two cookies. How much was each cookie?"

.75=75%

8*.75=cost of sub=6

total cost- cost of sub=cost of cookies

8-6=2

The cost of 2 cookies is 2 dollars

Now to find the cost per cookie we take the total cost of the cookies, and divide it by the amount of cookies-

2/2=cost per cookie=1

It cost $1 for each cookie.

11. Determine whether the triangles are similar. If so, what is the similarity statement and the
postulate or theorem used?

(please answer ASAP if you have the all of the questions for the semester exam I'll take them too please)

A.>TRS~>TPQ;SSS~
B.>TRS~>TPQ;SAS~
C.>TRS~>PQR;SAS~
D.The triangles are not similar ​

Answers

Answer:

Option B

Step-by-step explanation:

we know that

SAS Similarity Theorem: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

In this problem

∠STR is congruent with ∠QTP

Verify if the corresponding sides are proportional

[tex]\frac{42}{42+6}=\frac{28}{28+4}[/tex]

[tex]\frac{42}{48}=\frac{28}{32}[/tex]

[tex]42*32=48*28[/tex]

[tex]1,344=1,344[/tex] ----> is true

therefore

The triangles TRS and TPQ are similar by SAS

!HELP!

I need to write an expression for the shaded region in its simplest form, showing all of my steps!

But it's late at night and I'm not entirely sure how to do this, so thank you so much in advance!!!​

Answers

Answer:

x² + 23x + 49

Step-by-step explanation:

Area of the big rectangle

= (x + 10)(2x + 5)

= 2x² + 5x + 20x + 50

= 2x² + 25x + 50

Area of the small white rectangle

= (x + 1)(x + 1)

= x² + x + x + 1

= x² + 2x + 1

Area of the shaded area

= (2x² + 25x + 50) - (x² + 2x + 1)

= 2x² + 25x + 50 - x² - 2x - 1

= x² + 23x + 49

Plz help me with this

Answers

Answer: A) 13

Step-by-step explanation:

Mean - 1 SD: 20.2 - 2.4 = 17.8 --> (18)

Mean + 1 SD: 20.2 + 2.4 = 22.6 --> (23)

Now, find the values on the histogram for 18 through 23:

2 + 3 + 4 + 3 + 1 + 1 = 13

Lesson 4 practice problems.

Answers

Answer:

which is the question yours asking help for

Does anyone know this?! Pls help

Answers

Answer:

Step-by-step explanation:

we are given the angles of XYR = 40, ZXY = 130, and SRY = 40 degrees.

angle ZXY is half of angle ZAY, so angle ZXY is 65 degrees.

imagine a line XA (not on the diagram). then ZXA is 32.5 degrees since it is half of YXZ. Angle XZA and ZXA are equal, so XZA is 32.5 degrees. RZA = XZA + RZX = 32.5 + 40 degrees (assuming the upper left stated degree belongs to angle XZA), or simply RZA is 72.5 degrees.

since ZRA = RZA, then ZRA is 72.5 degrees. since angle ZRS = SRY + ZRA, finally ZRA = 40 + 72.5 degrees or simply, ZRS = 112.5 degrees. which visually is blantantly wrong as it appears to be less than 90 degrees.


The denominator of the seventh term is
125
216
343
512

Answers

343 will be your answer

Answer: Thus, Third option is correct.

Step-by-step explanation:

Since we have given that

[tex]1,\dfrac{1}{8},\dfrac{1}{27},\dfrac{1}{64},...............\dfrac{1}{n^3}[/tex]

So, we can see the pattern:

General term of the series is given as

[tex]\dfrac{1}{n^3}[/tex]

So, we just put the value of n = 7, to get the required denominator:

[tex]\dfrac{1}{7^3}=\dfrac{1}{343}[/tex]

Hence, the denominator of the seventh term is 343.

Thus, Third option is correct.

The perimeter of the triangle below is 4x + 3y. Find the measure of the missing side. (Picture of triangle)

Answers

Answer: 2x+3y

Step-by-step explanation: look at picture

Final answer:

To find the missing side in a triangle with a given perimeter, subtract the lengths of the known sides from the total frame. This is based on the sum of the lengths of all sides of a triangle, which equals its circumference.

Explanation:

We need to understand a simple rule about triangles to find the missing side of a triangle where the perimeter is 4x + 3y. The sum of all sides of a triangle equals its edge. So, if we know the length of the other two sides, we can subtract their sum from the total circumference to find the size of the missing side.

For example, if we know that the other two sides of the triangle are 2x and y, respectively, the missing side would be calculated by subtracting the sum of these sides from the given perimeter.

4x + 3y = perimeter
2x + y = known sides
missing side = (4x + 3y) - (2x + y)

Note: This method assumes that x and y values are provided. If they're unknown, we will require additional equations to solve for x and y before calculating the length of the missing side.

Learn more about Perimeter of Triangle here:

https://brainly.com/question/29472908

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calculate the slope of the given points (6,2) and (8,2)​

Answers

Answer:

0

Step-by-step explanation:

Since both points are on the the line (0,2) there is no slope/the slope is 0

There is no slope it just a straight line

which of these is the best definition of a circle?​

Answers

Answer:

C

Step-by-step explanation:

It is all the points on a plane that are the same distance away from 1 fixed point.

That makes C the answer. There are definitions here for a parabola (B), an ellipse (A) and a Hyperbola (D).

Only C is correct for the circle.

Answer: C just did it

What is the measure of ∠JSM?
A) 12°
B) 17°
C) 23°
D) 31°

Answers

I think it would be “B”

Answer:

Option B.

Step-by-step explanation:

Given information: [tex]m\angle A=48^{\circ},\angle E=90^{\circ},\angle EMS=59^{\circ}[/tex].

According to the angle sum property of a triangles, the sum of interior angles of a triangle is 180°.

Apply angle sum property on triangle AEJ.

[tex]\angle A+\angle E+\angle J=180^{\circ}[/tex]

[tex]48^{\circ}+90^{\circ}+\angle J=180^{\circ}[/tex]

[tex]138^{\circ}+\angle J=180^{\circ}[/tex]

Subtract 138 from both sides.

[tex]\angle J=180^{\circ}-138^{\circ}[/tex]

[tex]\angle J=42^{\circ}[/tex]

The measure of angle J is 42°.

According to exterior angle property, the sum of two interior angles of a triangle is equal to the third exterior angle.

Apply exterior angle property on triangle JMS.

[tex]\angle EJA+\angle JSM=\angle EMS[/tex]

[tex]42^{\circ}+\angle JSM=59^{\circ}[/tex]

Subtract 42 from both sides.

[tex]\angle JSM=59^{\circ}-42^{\circ}[/tex]

[tex]\angle JSM=17^{\circ}[/tex]

The measure of ∠JSM is 17°.

Therefore, the correct option is B.

A(n) ____ is NOT an example of an agreement.

A) Lease
B) Month-to-month
C) Annual
D) Fine Print

Answers

Answer:

D) Fine Print

Fine print is part of an agreement but technically isnt one.

Final answer:

The correct answer is D) Fine Print. Fine Print is not an agreement but refers to the small, often hard-to-read text in a contract that contains important legal provisions.

Explanation:

The correct answer is D) Fine Print. A lease is a contractual agreement between a lessor and a lessee that gives the lessee the right to use a property owned by the lessor for a specific period in exchange for payment. A month-to-month agreement is a type of lease which automatically renews each month until either party decides to terminate it. An annual agreement typically refers to a contract or lease that is renewed once per year.

The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle . need help !!​

Answers

Answer:

[tex]\sqrt{7}[/tex]

Step-by-step explanation:

let the other leg be x

Then using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 3² = 4²

x² + 9 = 16 ( subtract 9 from both sides )

x² = 7 ( take the square root of both sides )

x = [tex]\sqrt{7}[/tex]

Answer:

Square root of 7

Step-by-step explanation:

The area of a playground is 160 yd2. The width of the playground is 6 yd longer than its length. Find the length and width of the playground.

Answers

Answer:

length=10\ yd,  width=16\ yd

Answer:

Length of the playground is 10 yd and the Width of the playground is 16 yd .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Width

As given

The area of a playground is 160 yd².

The width of the playground is 6 yd longer than its length.

Let us assume that the length be x .

Thus

Width = x + 6

Put all the values in the formula

160 = x × (x + 6)

160 = x² + 6x

x² + 6x - 160 = 0

x² + 16x - 10x - 160 = 0

x (x + 16)-10 (x + 16) = 0

(x -10)(x + 16) = 0

Thus

Either (x - 10) = 0 or (x + 16 ) = 0

x = 10 or x = -16

(Negative value is neglected because sides cannot be negative.)

Thus

x = 10

Length = 10 yd

Width = 10 + 6

             = 16 yd

Therefore the length of the playground is 10 yd and the width of the playground is 16 yd .

Use the distributive property to remove the parentheses.
-5(6y - u - 2)

Answers

Answer:

-30y+5u+10

Hope this helped

Find the area of the trapezoid.

Answers

75

15×6÷2+10×6÷2

90÷2+60÷2

45+30

75

The answer is 75.

Hope this helps!

Helpppppp PLZZZZZZZZZZZZ

Answers

Answer:

Final answer is m∠D  = 61°.

Step-by-step explanation:

Given that m∠C = 98°,

m∠B = 140°,

m∠A = m∠D ,

Using those information we need to find the value of m∠D.

We know that sum of all 4 interior angles of a quadrilateral is always 360°.

So we can write equation:

m∠A +m∠B +m∠C +m∠D = 360°

m∠A + 140° + 98° +m∠D = 360°

m∠D + 140° + 98° +m∠D = 360°

2(m∠D) + 140° + 98° = 360°

2(m∠D) + 238° = 360°

2(m∠D)  = 360° - 238°

2(m∠D)  = 122°

m∠D  = 122°/2

m∠D  = 61°

Hene final answer is m∠D  = 61°.

Answer:

the answer is 61°

Step-by-step explanation:

360- 98- 140 = 122 ÷2 = 61

A game is played with a deck of 50 cards numbered from 1 to 50. At the end of each round, players calculate their score by adding the numbers on their cards.
What is the least score a player could have if he or she has 7 cards remaining at the end of a round?

Answers

Answer:

28, 329, 11

Step-by-step explanation:

What is the least score a player could have if he or she has 7 cards remaining at the end of a round?

28 points

What is the greatest score a player could have if he or she has 7 cards remaining at the end of a round?

329 points

Glenna needs to get 60 points in the next round to win the game. What is the least number of cards Glenna needs to be guaranteed a win?

11

The least score a player could have is if he or she has 7 cards remaining at the end of round 28.

What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

   Calculation:-

Addition of the first 7 natural number (out of 50 cards)

   In order to get the minimum value

             ⇒1+2=3+4+5+6+7=28

Learn more about addition here:-https://brainly.com/question/4721701

#SPJ2

What does this equal to in standard form? (A+bi)

Answers

[tex]

3i(-7+11i)=-28i+33i^2=\boxed{-33-28i}

[/tex]

Answer:

-33 - 21i

Step-by-step explanation:

3i (-7 + 11i)

= -21i + 33i^2                   (i^2 = -1)

= -21i + 33(-1)

= -33 - 21i

a refund of $3.15 on a $8.64 bill

Answers

8.64 - 3.15 = $5.49 if this is what you are asking

Answer:

Step-by-step explanation:

3.15-8.64 is5.49 hope this helps

[WILL GIVE BRAINLIEST ANSWER] f(x)=(x-5)(5x+2) write the smaller solution first and the smaller solutuon second

Answers

Answer:

x = - [tex]\frac{2}{5}[/tex], x = 5

Step-by-step explanation:

Given

f(x) = (x - 5)(5x + 2)

To obtain the solutions set f(x) = 0, that is

(x - 5)(5x + 2) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5 ← larger x

5x + 2 = 0 ⇒ 5x = - 2 ⇒ x = - [tex]\frac{2}{5}[/tex] ← smaller x

Find the area of the trapezoid by decomposing it into other shapes.
A) 35 cm2
B) 39 cm2
C) 40 cm2
D) 48 cm2

Answers

Answer:

A) 35 cm2

Step-by-step:

Answer:

A- 35 cm2

Step-by-step explanation:

Which of the following are solutions to2x^2-8x-90? Select all that apply. 2
-5
-7
9
15
5
7

Answers

Answer:

9,-5

Step-by-step explanation:

2x^2-8x-90

Factor by 2

2(x^2 -4x-45)

What two numbers multiply to -45 and add to -4

-9*5 = -45

-9+5 = -5

2(x-9) (x+5)

Set this equal to zero

2(x-9) (x+5) =0

Divide by 2

(x-9) (x+5) =0

Using the zero product property

x-9=0  x+5=0

x=9  x=-5

Mary and Jane are trying to set up their marmalade selling business. They started off by peeling the oranges. Mary peels 8 oranges in 10 minutes while Jane peels 3 oranges in 5 minutes. If they need to peel 500 oranges for their first batch of marmalade, how long (in hours) will it take them to finish peeling? (round off to nearest hr)

Answers

Answer:

6.0 hours

Step-by-step explanation:

1 hour is the same as 60 minutes.

"Mary peels 8 oranges in 10 minutes"

1 hour = 60 minutes = 6 * 10 minutes

In 1 hour, she peels 6 times as many oranges, so Mary peels 48 oranges in 1 hour.

"Jane peels 3 oranges in 5 minutes"

1 hour = 60 minutes = 12 * 5 minutes

In 1 hour, she peels 12 times as many oranges, so Jane peels 36 oranges in 1 hour.

Combined, the peel 48 + 36 = 84 oranges in 1 hour.

(500 oranges)/(84 oranges/hour) = 5.952 hours

Answer: 6.0 hours

A right rectangular prism has a length of 10 in., a width of 12 in., and a height of 16 in. The dimensions of the prism are halved. What is the surface area of the reduced prism? Enter your answer in the box. in²

Answers

Answer:

[tex]S.A=236in^2[/tex]

Step-by-step explanation:

The given prism has dimension;

[tex]L=10in.,W=12in.,H=16in.,[/tex]

If the dimensions of the prism are halved then;

[tex]l=5in.,w=6in.,h=8in.,[/tex]

The surface area of the reduced prism will be;

[tex]S.A=2(lw+lh+wh)[/tex]

[tex]S.A=2(5(6)+5(8)+6(8))[/tex]

[tex]S.A=2(30+40+48)[/tex]

[tex]S.A=2(118)[/tex]

[tex]S.A=236in^2[/tex]

Answer:

236in²

Step-by-step explanation:

Given in the question,

length of rectangular prism  = 10 in

width of rectangular prism  = 12 in

height of the prism = 16 in

Since the dimensions are reduced to half so the new dimensions are

length of rectangular prism  = 5 in

width of rectangular prism  = 6 in

height of the prism = 8 in

Formula to calculate the surface area

2(lw + lh + wh)

2 ((5x6) + (8x5) + 2(6x8))

236 in²

Could someone check over me? Thanks!

Answers

Answer:

Yes, I agree with A. :)

Step-by-step explanation:

Which of the following terms appear in the expansion of (x+y)^10? The letter "a" in each term represents a real constant.

Choices are:
ax^4y^6
ax^5
ax^3y^7
ax^6y^4
Can be multiple

Answers

ANSWER

[tex]ax^4y^6[/tex]

[tex]ax^3y^7[/tex]

[tex]ax^6y^4[/tex]

EXPLANATION.

The given binomial is

[tex]( {x + y)}^{10} [/tex]

One property about all the terms in this binomial expansion is that:

The degree of each term is 10.

[tex]ax^4y^6[/tex]

degree=4+6=10

[tex]ax^3y^7 [/tex]

degree=3+7=10

[tex]ax^6y^4[/tex]

degree=6+4=10

[tex]ax^5[/tex]

degree=5+0=5

All the terms with degree 10 are the correct options

Answer:All of them except for ax^5

Step-by-step explanation:

You add what it’s being squared too and if it equals ten then it’s correct since we’re trying to find (x+y)^10

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