Consider this quadratic expression.

x² – 10x + c + 11 – c

What value of c is needed to complete the square for this expression?
A. 10
B. 20
C. 25
D. 100

Answer:

9:15 a.m

Step-by-step explanation:

Answer:

The solution to the system of equations given is:

Step-by-step explanation:

First, we must see our two equations given:

We can use the reduction method, with this, we must eliminate a variable, in this case, de x variable, this can do multiply the equation 2 by (-2) and add the two equations:

     3. -4x+12y = -12

Now, we operate the equations 1 and 3:

     4. 13y = 39

We solve the equation 4 and obtain the value for "y":

With the value of "y," we can replace this value in equation 1 or 2 to obtain the value of "x," in this case, we're gonna use the equation 1:

In this form, we know the solution to the system of two equations is: x = 12 and y = 3.

Answer:

Gradient of parallel line= 7

Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]

Step-by-step explanation:

The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.

y= 7x -3

Gradient= 7

Parallel lines have the same gradient.

Thus, the slope of the line parallel to this line is also 7.

The product of the gradients of 2 perpendicular lines is -1.

(Gradient of perpendicular line)(7)= -1

Gradient of perpendicular line

= -1 ÷7

[tex] = - \frac{1}{7} [/tex]

Hello! :)

Parallel lines have the same slope.

If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.

Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:

[tex]7\\-7\\-\frac{1}{7}[/tex]

Hope it helps. Feel free to ask me if you have any questions.

~A determined teen

[tex]MagicalNature[/tex]

Answer:

Step-by-step explanation:

the expression is equivalent with

5(3n-2)=15n-10

Answer:

-1/30

Step-by-step explanation:

just subtract then divide.

(this is simplest form)

        nvm

my bad, i forgot some steps you can delete this answer if wanted.

Answer:

46.2

Step-by-step explanation:

46.188= 46.2

9514 1404 393

Answer:

  (a) -(x+7)/y

  (b) (x+7)/-y

Step-by-step explanation:

There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.

The given expression with -1 factored out is ...

  [tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]

Likewise, the expression of (b) with the minus sign factored out is ...

  [tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]

On the other hand, simplifying expression (c) gives something different.

  [tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]

__

Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).

  Given: (-x-7)/y = (-x/y) +(-7/y)

  (a) -(x+7)/y = (-x/y) +(-7/y)

  (b) (x+7)/(-y) = (-x/y) +(-7/y)

  (c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.

__

Of course, you need to know the use of the distributive property and the rules of signs.

  a(b+c) = ab +ac

  -a/b = a/(-b) = -(a/b)

  -a/(-b) = a/b

__

Summary: The given expression matches (a) and (b).

_____

Additional comments

Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...

  [tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]

Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.

The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.

(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given

(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given

(c) evaluates to (-1-7)/-2 = 4, different from given

Answer:

A: 2/15

Hope this helped!

Answer:

3

Step-by-step explanation:

n = (30-12) ÷ 6

n = 18 ÷ 6

n = 3

Answer:

the 1st answer is right

Step-by-step explanation:

Answer:

x>2 or x>6

Step-by-step explanation:

2x+6<10 or 2x+8>20

2x>4 or 2x>12

x>2 or x>6

Inequalities help us to compare two unequal expressions. The correct option is D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The two of the given inequalities can be solved as shown below.

2x + 6 < 10

Subtract 6 from both sides of the equation,

2x + 6 - 6 < 10 - 6

2x < 4

Divide both the sides of the equation by 2,

2x/2 < 4/2

x < 2

2x + 8 > 20

Subtract 8 from both sides of the equation,

2x + 8 - 8 > 20 - 8

2x > 12

Divide both the sides of the equation by 2,

2x/2 > 12/2

x > 6

Hence, the correct option is D.

Learn more about Inequality here:

https://brainly.com/question/19491153

#SPJ2

Answer: 1*1/2

Step-by-step explanation: 1*1/2 equals 1/2 which is greater than zero but less than 1

The given statement is true for all real values between 0 and 1.

Important information:

The compound inequality is:

[tex]0<1\times n<1[/tex]

[tex]0<n<1[/tex]

Therefore, the given statement is true for all real values between 0 and 1.

Find out more about 'Compound inequality' here:

https://brainly.com/question/17086294

Answer:

Laura's monthly payment will be $501, and her total finance charge over the course of the loan will be $5,060.

Step-by-step explanation:

Given that in a 5-year loan with an annual interest of 7.5%, the monthly payments for every $ 1,000 are $ 20.04, taking into account that Laura took a loan of $ 25,000, to determine the monthly payments and the total interest to be paid, they must be made the following calculations:

20.04 x 25 = X

501 = X

Thus, the monthly payments that Laura will have to make will be $ 501.

(501 x 12 x 5) - 25,000 = X

30,060 - 25,000 = X

5,060 = X

In turn, the total finance charge will be $ 5,060.

Answer:

they need to wash 39 cars

Step-by-step explanation:

600-61=539

539/14=38.5

round to 39

Answer: 11:7

Step-by-step explanation:

66 is divisible by 6 = 11

42 is divisible by 6 = 7

GIVE BRAINLIEST!

Answer:

The answer to the question provided is letter c.

Answer:

the answer is yellow one

Answer:

12.5%=.125, 1= 100%, .8=80% 8%=.08 .25= 25% .5 = 50% .01= 1% .005= 0.5%

Step-by-step explanation:

On the Decimal numbers just move the decimal place over 2 to the right

and add a percent

Hey there!

DISTRIBUTE

3(–2x – 3) + 4x – 3 = 8

3(–2x) + 3(–3) + 4x – 3 = 8

COMBINE LIKE TERMS

–6x – 9 + 4x – 3 = 8

–2x – 12 = 8

ADD by 12 on BOTH SIDES

–2x – 12 + 12 = 8 + 12

CANCEL out: –12 + 12 because that gives 0

KEEP: 8 + 12 because it helps us solve for x

“8+ 12 = 20”

–2x = 20

DIVIDE by –2 on BOTH SIDES

–2x/–2 = 20/–2

CANCEL out: –2/–2 because that gives 1

KEEP: 20/–2 because that gives you x

“x = 20/–2”

Answer: x = –10 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

c. 20%

Step-by-step explanation:

3/15=1/5

1 divided by 5 = .2

Move decimal point 2 times to get percent.

20%

Answer:

Each of the other side is 184 feet.

Step-by-step explanation:

Given that:

Length of two sides each = 104 feet

Total length of all sides = 576 feet

Let,

x be the length of other one side.

Length of other two sides will be 2x.

Total length of sides = 2x + 2(104)

576 = 2x + 208

2x = 576 -208

2x = 368

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{368}{2}\\x=184[/tex]

Hence,

Each of the other side is 184 feet.

Answer:

waste

Step-by-step explanation:

Try to think of something that doesn't involve energy and you won't get very far. Even thinking—even thinking about energy!—needs some energy to make it happen. In fact, everything that happens in the world uses energy of one kind or another. But what exactly is energy?

Energy is a bit of a mystery. Most of the time we can't see it, yet it is everywhere around us. Revving car engines burn energy, hot cups of coffee hold energy, street lights that shine at night are using energy, sleeping dogs are using energy too—absolutely everything you can think of is using energy in one way or another. Energy is a magical thing that makes other things happen. Everything in the world is either energy or matter ("stuff" around us) and even matter, when you really get down to it, is a kind of energy!

Answer:

A.

Step-by-step explanation:

cause its congruent just flip and get

ZYX

brainliest appreciated

Answer:

B=34.2

C=105.8

c=12.0

Step-by-step explanation:

find B using the sine rule

(sin40÷8)=(sinB÷7)

rearrange

sin B= (sin40x7)÷8

sin B=0.562

make sure to use your calculator

then press shift sin to find B

B= 34.2°

to the nearest tenth means to 1 decimal place

sum of angles in a triangle is 180

so 180-(40+34.2)=105.8°=C

use sine rule again to find c

(sin105.8÷c)=(sin40÷8)

rearrange

c= (sin 105.8x8)÷sin40

c=12.0

Answer:

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Step-by-step explanation:

From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.

If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:

Angle A

[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)

[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]

[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]

[tex]A \approx 87.395^{\circ}[/tex]

Angle B

[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)

[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]

[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]

[tex]B\approx 57.271^{\circ}[/tex]

Angle C

[tex]C = 180^{\circ}-A-B[/tex]

[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]

[tex]C = 35.334^{\circ}[/tex]

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.