Write x² + 4x +5 in the form (x + a)² +b where a and b are integers.​

=> 6- 4x +6x -8x +6 = 0

=> 12 -6x = 0

=> 6x = 12

=> x = 2

Answer:

Area = 6cm^2

Step-by-step explanation:

Pythagorean Theorem = [tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]a^{2} + 3^{2} = 5^{2}[/tex]

or

[tex]a^{2} + 9 = 25[/tex]

Subtract 9 from 25.

25 - 9 = 16

Square root 16 to get 4.

a = 4

Now to find the area.

Area = 1/2(3*4)

12/2 = 6

Answer:

A = 15u²

Step-by-step explanation:

Area of a Trapezoid Formula:

[tex]\frac{h}{2}*(b_1+b_2)[/tex]

Plug in our values (h = 3, b1 =  7, b2 = 3)

[tex]\frac{3}{2}*(7+3)[/tex]

Now we evaluate

[tex]\frac{3}{2}*(10)[/tex]

[tex]\frac{30}{2} = 15[/tex]

Answer:

71/120

Step-by-step explanation:

Answer:

The answer is 72%  

Step-by-step explanation:  

[tex]\frac{54}{75} = 72[/tex]

54 out of 75 is a percentage of 72%.  

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The percentage of the goal did he achieve will be 72%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A sixth-grade class did an end-of-the-week wellness challenge. Every understudy put forth an objective of '75' minutes of wellness. Luca practiced for '54' minutes.

The percentage of the goal did he achieve will be calculated as,

P = (54 / 75) x 100

P = 0.72 x 100

P = 72%

The percentage of the goal did he achieve will be 72%.

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Answer:

See answer below.

Step-by-step explanation:

P(v) = -4v³ + 12v² - 9v

Point (-5, -845) is not a point on the graph

P(-5) = -4(-5)³ + 12(-5)² - 9(-5)

P(-5) = 500 + 300 + 45

P(-5) = 800 + 45

P(-5) = 845                     point (-5, 845) is a solution

Answer:

2.8 miles

Step-by-step explanation:

Speed of Rafael = 7 miles / 60 min = 7/60 miles/min

Time for next run = 24 min

Length of the next run = 7/60 miles/min *24 min = 2.8

Answer:

10

Step-by-step explanation:

8 ÷ 4/5 = 10

I hope this helps!!

1.

5 - 3x >= 11

-3x >= 11-5

-3x >= 6

3x <= -6

x <= -6/3

x <= -2

x ∈ (-∞ ; -2]

2.

1 + 3x >= - 5

3x >= -5 - 1

3x >= -6

x >= -6/3

x >= - 2

x ∈ [-2 ; + ∞)

3.

5x + 7 >= 17

5x >= 10

x >= 10/5

x >= 2

x ∈ [2 ; + ∞)

4.

2x + 1 <= 3

2x <= 2

x <= 1

x ∈ (-∞ ; 1]

Good Luck

Answer:

m ∠JPN = 131°    

Step-by-step explanation:

m ∠JPL = m ∠MPK                         Vertical angles are =

7x + 19 = 11x -17                               Substitution  

- 4x =  -36                                      Algebra: Solving for x

   x = 9                                           Algebra: Solving for x

 m ∠JPL = 82°                              Substitution x = 9 into m ∠JPL = 7x +19

m ∠JPL + m ∠LPK = 180°             Definition of linear pair/supplement

                                                     angles = 180°

82° + m ∠LPK = 180°                      Substitution    

            m ∠LPK = 98°                     Algebra

m ∠LPK = m ∠LPN + m ∠NPK        Angle addition Theorem

       PN bisects ∠LPK                     Given    

m ∠LPN = m ∠NPK                          Definition of angle bisector

98 ° = 2 ( m ∠LPN)                           Substitution  

    m ∠LPN = 49°                             Algebra

m ∠JPN = m ∠JPL + m ∠LPN         Angle Addition

 m ∠JPN = 82° + 49°                     Substitution  

m ∠JPN = 131°                                 Addition    

Answer:

−5.8+d>43/4

Step-by-step explanation:

The inequality represents the situation as −5.8+d>434.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given that Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.

The inequality will be written as the algebraic sum of the distance d and 5.8 is greater than the 434 miles.

Inequality: -5.8 > 434

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Answer:

562 = 85x +52

x is the number of days

Veronica traveled for 7 days

Step-by-step explanation:

562 = 85x + 52

510 = 85x Subtract 52 on both sides

6 = x Divide by 85 to isolate x

Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.

The correct option is B which is 15 g.

Given to us:

the heat  [tex]Q= 350\ Joules[/tex],

the specific heat [tex]c= 1.2\ J/g\ ^o C[/tex],

the lower temperature [tex]t_1= 10^o C[/tex],

the higher temperature [tex]t_2= 30^o C[/tex],

Formula for specific heat:

[tex]Q=mc(\Delta T)[/tex]

where,

[tex]m[/tex] is the mass,

[tex](\Delta T)[/tex] is the temperature difference,

Putting in the values;

[tex]350=m\times 1.2\times (30-10)\\\\m= \dfrac{350}{1.2\times (30-10)} \\\\m=14.5833 grams[/tex]

Hence, the mass is 14.5833 grams. therefore, the correct option is B which is 15 g.

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Answer:

50

Step-by-step explanation:

8% of 100 is 8 now divide 100 by 2 since it is 16% and it is 8

Answer:

y = x+4

Step-by-step explanation:

First, we find the slope

m = (y2-y1)/(x2-x1)

m = ( 9-7)/(5-3)

    = 2/2

   =1

Slope intercept form of a line is y = mx+b  where m is the slope and b is the y intercept

y = 1x+b

Using one of the points

7 = 1*3+b

7 = 3+b

4=b

y = x+4

Answer:

is it 1?

Step-by-step explanation:

Answer:

A. 20%

Step-by-step explanation:

Hope it helps!

Answer:

83/100

Step-by-step explanation:

10/11x11/12 is 0.8333333....

Answer:

I'm not sure but I think it's everything outside of circular, graphic and reflective. I'm only unsure with the last one but since it's 4 point I would assume it's 4 answers.

Answer:

  (d)  f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

  f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

Answer:

I think your anwser would be 4 im not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain:  I don't see any restrictions on the domain, although at some point y will become exceedingly large.

Range:  -9 to infinity

Increasing Interval:  x>2

Decreasing Interval:  x <2

End behavior:

- as x ⇒∞, y⇒∞

Answer:

660

Step-by-step explanation:

Move the decimal point on the 6.6 right by 2 spaces, and left 2 spaces on the 100:

 From 6.6 × 100

to      660. × 1.00

       660

Answer:

x = 12

Step-by-step explanation:

The measures of ∠XYW and ∠WYZ would equal m∠XYZ.

[tex]3x + 2 + 72 = 110\\\rule{150}{0.5}\\3x + 74 = 110\\\\3x + 74 - 74 = 110 - 74\\\\3x = 36\\\\\boxed{x = 12}[/tex]

Hope this helps.

Answer:  Graph is below

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

Explanation:

We divide both sides by -4 to isolate p. This will flip the inequality sign.

-16 > -4p

-16/(-4) < -4p/(-4)

4 < p

p > 4

The graph has an open hole at 4 and shading to the right. See below.

The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

The inequality is,

⇒ - 16 > - 4p

Now, Solve the inequality as;

⇒ - 16 > - 4p

Multiply by -1;

⇒ 16 < 4p

Divide by 4;

⇒ 4 < p

Thus, The solution of the inequality is,

⇒ 4 < p

And, This is shown in number line.

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