Find the length of the third side if necessary write in simplest radical form

Answer:

D.    x = 12, solution is not extraneous

Step-by-step explanation:

-4√(x - 3) = -12

Divide both sides by -4

√(x - 3) = 3

Square both sides

x - 3 = 9

add 3 to both sides

x = 12

To see if it's extraneous plug into original problem

-4√(12 - 3) = -12

-4√(9) = -12

-4 * 3 = -12

-12 = -12

not extraneous

Answer:

£455.13

Step-by-step explanation:

3% = .03

p = 530(1 *- .03)⁵

p = 530(.97)⁵

p = 455.129033621

Rounded

£455.13

Answer:

square root of 5 - 4

Step-by-step explanation:

Answer:

square root of 5 +4

Answer:

12

Step-by-step explanation:

We are finding the discriminant

b^2 -4ac

2x^2 - 2x - 1 = 0​

a =2  b = -2  c = -1

(-2)^2 - 4(2)(-1)

4 +8

12

Answer:

[tex]b^2 - 4ac= 12[/tex]

Step-by-step explanation:

Standard quadratic equation :

                   [tex]ax^2 + bx + c = 0[/tex]

Given equation :

                  [tex]2x^2 - 2x - 1 = 0[/tex]

From the given equation , a = 2, b = -2 , c = -1

Therefore,

              [tex]b^2 - 4ac= ( -2)^2 - ( 4 \times 2 \times (-1))[/tex]

                          [tex]=4 + 8 = 12[/tex]

Answer:

The answer is A

Step-by-step explanation:

C’(4, –2)

The coordinates of C' are (1, 0)

A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.

Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).

When Triangle ABC is translated 6 units to the right and 1 units up.

We know that rule for translating b unit up and a unit right is

(x, y) → (x+a, y+b)

Hence, the coordinates for C' =

(-5, -1) = (-5+6, -1+1) = (1, 0)

Hence, the coordinates of C' are (1, 0)

For more references on translation, click;

https://brainly.com/question/12463306

#SPJ6

Bread is usually fine to eat if you don't see any mold.

Once refrigerated, it will retain its freshness for three to four days before becoming stale. If you want to extend its shelf life, packaged bread will stay fresh for at least three months in the freezer. If you do see mold, however, throw the bread out.

Answer:

The standard equation is 7x + y = 9

Step-by-step explanation:

Equations given are:  

7x + 3 = 5 and y - 1 = 6

Set both given equations equal to zero, then combine them into one standard form equation

Set the equations to zero by moving the constant from R.H.S to L.H.S

7x + 3 - 5 = 0

7x - 2 = 0 ---- eq 1

y - 1 = 6

y - 1 - 6 = 0

y - 7 = 0 ----- eq 2

We have to combine eq 1 and eq 2

7x - 2 + y - 7 = 0

7x + y - 9 = 0

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Thus the standard equation is:

7x + y - 9 = 0

7x + y = 9

Thus the standard equation is 7x + y = 9

Answer:

-7j-k-1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.

10k + 17 - 7j - 18 - 11k

10k -11k + 17 - 18 - 7j                Move to group like terms together.

-k - 1 - 7j

Answer:

The required probability is 0.462.

Step-by-step explanation:

Probability to play the song = 6/7

Probability not to play the song = 1 - 6/7 = 1/7

Required probability  

= Probability to play 5 days x probability not to play 1 one + Probability to play 6 days

[tex]=\left (\frac{6}{7} \right ) ^5\times \frac{1}{7} + \left (\frac{6}{7} \right ) ^6\\\\= \frac{6^5 +6^6}{7^6}\\\\=0.462[/tex]

Answer:

A = $12.30

Step-by-step explanation:

15 × 82 = 12.3

100

Answer:

A

Step-by-step explanation:

first graph

Answer:

A

Step-by-step explanation:

first graph

Answer:

110°

Step-by-step explanation:

Each tick line in a protractor shows 10°. So the next is 110° inclined.

Answer:

110 degrees hope this helps

Step-by-step explanation:

Answer:

m<HFG = 31

Step-by-step explanation:

We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.

21 + x + 31 = 2x + 52

x + 52 = 2x + 52

x = 0

Now, we substitute x into the expression of m<HFG:

m<HFG = x + 31

m<HFG = 0 + 31

m<HFG = 31

Answer:

B. 6

Step-by-step explanation:

3³ x 3³ = 3⁶

The answer is 6

Answer:

B) 6

Step-by-step explanation:

The reason for this is really awesome and is clearly seen when you expand it.

x^3= x times x times x

x^3= x times x times x

x^3 times x^3= x times x times x times x times x times x= x^6

Answer:

x = 7/2

Step-by-step explanation:

2x + 5 = 12

Subtract 5 from each side

2x + 5-5 = 12-5

2x = 7

Divide each side by 2

2x/2 = 7/2

x = 7/2

Answer:

[tex]x = \frac{7}{2} [/tex]

Step-by-step explanation:

Let's solve:

[tex]2x+5=12[/tex]

Step 1: Subtract 5 from both sides.

[tex]2x+5−5=12−5 \\

2x=7[/tex]

Step 2: Divide both sides by 2.

[tex] \frac{2x}{2} = \frac{7}{2} \\

x= \frac{7}{2} [/tex]

Answer:

la respuesta esta abajo

Step-by-step explanation:

a) Sea x el número del artículo x mientras que y representa el número del artículo y.

Dado que cada cantidad de artículo x requiere 2 horas de trabajo de perforación, mientras que cada cantidad de artículo y requiere 5 horas de trabajo de perforación. Hay un máximo de 40 horas disponibles, por tanto el modelo se da como:

2x + 5y ≤ 40

b) La trama se trazó utilizando la herramienta gráfica en línea de geogebra.

c) Para 10 unidades de X y 5 unidades de y:

2 (10) + 5 (5) = 45> 40

Por lo tanto, esto no sería posible porque requerirá 45 horas de perforación, lo que es más que el máximo de 40 horas disponibles.

9514 1404 393

Answer:

  x -3y = 4

Step-by-step explanation:

A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)

We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1

For points (-2, -2) and (16, 4), this equation is ...

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

  6x -18y = -12 +36

Dividing by the greatest common factor (6), we have the standard-form equation ...

  x -3y = 4

Step-by-step explanation:

total wood= 45½=22.5 units

cut wood= 8⅞= 7 units

wasted wood= 1/16=0.06

now wood left is,

total wood -cut wood-wasted wood

22.5-7-0.06

15.44 units

do you mean

6+(-5-7)/2-8(3)?

-5-7= -12

6+-12/2-8(3)

8(3)=24

6+-12/2-24

-12/2=-6

6+-6-24

6+-6=0

0-24= 24

Answer:

Subtract 7 from –5.

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

0.7*(1.5 + y) = 3.5y - 1.47

or, (0.7*1.5) + 0.7y = 3.5y - 1.47

or, 1.05 + 1.47 = 3.5y - 0.7y

or, 2.52 = 2.8y

or, y = 2.52/2.8

or, y = 0.9

Hope this will help. Please mark me brainliest.

Answer:

DE is congruent to BE , ED is congruent is EB and the last one is midpoint.

Step-by-step explanation:

Answer:

(-3, 4)

Step-by-step explanation:

yeah

Answer:

The correct ans is in the picture

Step-by-step explanation:

Don't worry it is 100% correct!

Answer:

y=-2x+8

Step-by-step explanation:

first is to find the slope

m=(y2-y1) /(x2-x1)= (2-4)/(3-2)=-2/1= -2

now using the line formula of y=m*x+b, put in one of the points and solve for b.

2= -2*3 + b

2= -6 + b

8 = b

so y= -2*x+8

Answer:

15 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Rectangle: A = lw

Step-by-step explanation:

Step 1: Define

Identify variables

l = 5 cm

w = 3 cm

Step 2: Find Area