solve 3x^2-18x-7=5 by completing the square

Answer:

x = 5.87 cm

Step-by-step explanation:

The triangle shown is a right triangle with congruent legs.

That makes it a 45-45-90 triangle.

The ratio of the lengths of the sides of a 45-45-90 triangle is

1 : 1 : √2

The length of either leg is hypotenuse/√2.

8.3 cm / √2 = 5.87 cm

Answer: x = 5.87 cm

Answer:

-1

Step-by-step explanation:

(x^2 - 8) / ( x+6)

Let x = -2

(( -2)^2 -8)/ ( -2+6)

(4-8)/(-2+6)

-4/4

-1

Answer:

( -1 )

Step-by-step explanation:

Given that,

[tex]\frac{(x^{2}-8) }{(x+6)}[/tex]

Also given that,

x = -2

So, to solve the above expression, you have to replace x with ( - 2 )

Let us solve.

[tex]\frac{(x^{2}-8) }{(x+6)}[/tex]

[tex]\frac{((-2^{2})-8) }{(-2+6)}[/tex]

[tex]\frac{4-8 }{(4)}[/tex]

[tex]\frac{-4 }{(4)}[/tex]

[tex]-1[/tex]

Hope this helps you :-)

Let me know if you have any other questions :-)

The  speed on the plane is 104mph while that of the wind is 78mph

The formula for calculating distance is expressed as:

Speed = Distance/Time

If the plane is flying with the wind;

3(r+ w) = 312

r + w = 104 ................... 1

If against the wind

4(r - w )= 312

r- w = 78 .................. 2

Add both equations

2r = 104  + 78

2r = 182

r = 91

Since r + w = 104

w = 104 - 91

w = 13

Speed on the plane  = r + w  = 91 + 13 = 104mi/hr

Speed on the wind = 91 - 13 = 78mi/hr

Learn more on speed here: https://brainly.com/question/4931057

Answer:

WUJV

Step-by-step explanation:

============

hope this helps.

Answer:

2.25

Step-by-step explanation:

Because if you do 8/6 you get 1.33333333333 so you would need to do 3/1.33333333333 and you would get 2.25.

Answer:

x = 2.25

Step-by-step explanation:

Since this is simply a reduction of a figure, we can assume the ratio is constant. With this in mind, we can set up the following proportion to solve for x.

8 / 3 = 6 / x

8 * x / 3 = 6

8 * x = 6 * 3

x = 6 * 3 / 8

x = 18 / 8

x = 9 / 4 = 2.25

Cheers.

Answer:

Step-by-step explanation:

20 - 8 =

12

12 / 4.99 =

2.40

Janelle can buy 2 snacks

20≥8+4.99

-8

12≥4.99

-4.99

7.01≥4.99

-4.99

2.02≥4.99 - Not true

The steps for completing a W-4 form include the following:

A W-4 form can be defined as an internal revenue service (IRS) tax form which is used to indicate the correct federal income tax that should be withheld from an employee's paycheck in the United States of America.

After an employee fills a W-4 form, it must be submitted to the internal revenue service (IRS) by the employer.

Basically, the steps for completing a W-4 form include the following:

Step 1: You should provide your information such as name, address, Social Security Number (SSN).

Step 2: You should indicate that Addison has one job only.

Step 3: You should indicate whether or not Addison has dependents.

Step 4: You should state that there is no need to have any additional taxes withheld from Addison's paycheck.

Step 5: You should provide a signature and date.

Read more on W-4 form here: https://brainly.com/question/15507745

Like term's coefficient are added in addition of algebraic terms. The simplified form of the given expression is [tex]x^3 + 8x^2 + 13[/tex]

Those terms which have same variables raised with same power.

For example, [tex]5t^3[/tex]  and [tex]6t^3[/tex] are like terms since variable is same, and it is raised to same power 3.

For example [tex]x^3[/tex] and [tex]3x^4[/tex] are not like terms as the variables are same but powers aren't same.

Constants who are in multiplication with variables are called coefficients of those variables.

Suppose we have

[tex]5x^2 + 6y[/tex]

Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.

If we have, suppose,

[tex]4x + 5x^2 + 2x[/tex]

then we see that [tex]4x[/tex] and [tex]2x[/tex] are like terms, their coefficient can be added and thus, the simplified form would be

[tex](4+2)x + 5x^2 = 6x + 5x^2[/tex]

For the given case, the considered expression is simplified as:
[tex]= > (6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)\\= 6x^2 - 3 + 5x^3 -4x^3 + 2x^2 + 16\\ = 5x^3 - 4x^3 + 6x^2 + 2x^2 - 3 + 16\\= (5-4)x^3 + (6+2)x^2 + 13\\= 1.x^3 + 8x^2 + 13 \\= x^3 + 8x^2 + 13[/tex]

(variables with 1 as coefficient is not written explicitly as 1 is factor of all measurements).

Sign multiply by

[tex]-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]

where -ve, +ve are sign of operands and result.

Thus, the simplified form of the given expression is [tex]x^3 + 8x^2 + 13[/tex]

Learn more about simplification of expressions here:

https://brainly.com/question/26437497

Answer:

10 terms

Step-by-step explanation:

equate the sum formula to 55 and solve for n

[tex]\frac{1}{2}[/tex] n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )

n(n + 1) = 110 ← distribute parenthesis on left side

n² + n = 110 ( subtract 110 from both sides )

n² + n - 110 = 0 ← in standard form

Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)

the factors are + 11 and - 10 , since

11 × - 10 = - 110 and 11 - 10 = + 1 , then

(n + 11)(n - 10) = 0 ← in factored form

equate each factor to zero and solve for n

n + 11 = 0 ⇒ n = - 11

n - 10 = 0 ⇒ n = 10

However, n > 0 , then n = 10

number of terms which sum to 55 is 10

Answer:

8x-3

Step-by-step explanation:

I hope it helps you

Answer:

Step-by-step explanation:

Parallel lines have the same slope, so if the slope of the given line is 2, the slope of the "new" line is also 2, and the slope-intercept equation becomes:

y = 2x + b.  

Here you seem to have a "misprint," as "(3, -2)2 is not a valid expresion.

Supposing that y ou meant (3, -2), then our equation becomes

-2 = 2(3) + b, or -8 = b.

The desired equation is then y = 2x - 8

If this is not what you expected, please focus on your (3, -2)2 and rewrite it properly.

Answer:

Step-by-step explanation:

Answer:

[tex]5<-6=false[/tex]

Brainliest?!

Answer:

1

Step-by-step explanation:

Explanation:

Her guess is off by 8 dollars (since 48-40 = 8) and this is out of the true value of 48

So 8/48 = 1/6 = 0.1667 = 16.67% approximately is the percent error

This rounds to 17%

Answer:

[tex]-26x^2+56x-15[/tex]

Step-by-step explanation:

[tex]3x(-2x + 7) - 5(x - 1)(4x - 3)[/tex]

Expand the brackets:

[tex]\implies -6x^2+21x-5(4x^2-7x+3)[/tex]

[tex]\implies -6x^2+21x-20x^2 +35x-15[/tex]

Collect like terms:

[tex]\implies -6x^2-20x^2+21x +35x-15[/tex]

Combine like terms:

[tex]\implies -26x^2+56x-15[/tex]

Answer:

Step-by-step explanation:

This is late reply. You can try searching online next time you need an answer in a hurry - most questions have been asked before: like here https://brainly.com/question/11412899

3x(-2x + 7) - 5(x - 1)(4x - 3)

= (-6x^2 + 21x) - 5(4x^2- 7x +3)

= -6x^2 + 21x - 20x^2 + 35x - 15

= -26x^2 + 56x -15

Answer:

x = 0, y = 4

Step-by-step explanation:

1 pen = x dollars

4 pen = 4x

1 ruler = y dollars

5 rulers = 5y

now,

a) = 5y + 4x = 20

2x + 4y = 16

Now,

2x + 4y = 16

or, 2x = 16 - 4y

or, x = (16 - 4y)/2

Now,

5y + 4x = 20

or, 5y + 4{(16 - 4y)/2} = 20

or, (10y + 64 - 16y) = 40

or, 64 - 6y = 40

or, 64 - 40 = 6y

or, 6y = 24

so, y = 4

now,

x = (16 - 4(4))/2

or, x =(16 - 16)/2

so, x = 0

Answer:

The 4th image you have

Step-by-step explanation:

It preserves angle measurements and each side it multiplied by 2

Answer:

  C  (see attached)

Step-by-step explanation:

Similar right triangles will have the same ratio of short side to long side as the original.

That ratio for the given triangle is ...

  (3/2)/2 = 3/4

__

For the answer choices, (left-to-right) as supplied in this problem statement, the ratios are ...

  a) 2/2 = 1 . . . . . both sides are the same length

  b) 1/(3/2) = 2/3

  c) 3/4 . . . . . this is the triangle you're looking for

  d) 2/3

Answer:

[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]

Step-by-step explanation:

[tex]a=p(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{a}{p} =(1+\frac{r}{n} )^{nt}[/tex]

[tex]\sqrt[nt]{\frac{a}{p}} =(1+\frac{r}{n} )[/tex]

[tex]\sqrt[nt]{\frac{a}{p}} -1 =(\frac{r}{n} )[/tex]

[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]

[ Do not confuse, as there are 2 n's, one in subject and another as power. We can never make the power or in a root, the subject. In order to solve for n, we have to make the character "n", the subject. ]

Answer:

20.428571

Step-by-step explanation:

C=(22/7)d

C=(22/7)6.5

C=20.428571

Answer:

20.4285714289

or ≈20.4

Step-by-step explanation:

2*pi*r

radius = diameter/2 = 6.5/2

r=3.25

22/7=3.1428571429

2*3.1428571429*3.25

Answer:

distance between them is 5.51 units.

Explanation:

                       [tex]\boxed{distance =\sqrt{(x2 - x1)^2+(y2-y1)^2} }[/tex]

given coordinates:  P (2,2) and Q (5.5, 6.25)

using the formula:

[tex]\boxed{distance =\sqrt{(5.5 - 2)^2+(6.25-2)^2} }[/tex]

[tex]\boxed{distance =\sqrt{12.25+18.0625} }[/tex]

[tex]\boxed{distance =\sqrt{30.3125} }[/tex]

[tex]\boxed{distance = 5.51 }[/tex]

Both Josan and Adama must have to earn 6 credits for they to have the same amount of play time.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let z represent the number of credits they must earn to have the same amount of play time. Hence:

5z + 6(5) = 10z

5z = 30

z = 6

Both Josan and Adama must have to earn 6 credits for they to have the same amount of play time.

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

5(z+6) −  10=10z

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Here we are given that ,

→ f(x) = 2x² - x + k

→ f(x) = 2x² - x + k

→ f(1) = 2(1)² - 1 + k

→ 3 = 2*1 -1 + k

→ 2 -1 + k = 3

→ k +1 = 3

→ k = 3-1

→ k = 2

Hence the value of k is 2 .

I hope this helps.

Answer:

They are prime

Step-by-step explanation:

Prime numbers are numbers that are not divisible by anything other than 1 and themselves.

Answer:

1.35

Step-by-step explanation:

the explanation to the question is in the photo I sent

rounding off to the nearest tenth

then the final answer is 1.4

Answer:

you just have to calm down and search it online it helps sometimes

Answer:

was this the whole question cause it depends on what the plane is

Step-by-step explanation:

Answer:

s=sqrt(60) => the second one is the correct answer.

Step-by-step explanation:

It’s given that A=60.

Formula: A=s^2.

=> s=sqrt(A)=sqrt(60)

Answer:

It should look like the graphs above.

Hope this helps!