How do I solve this equation by completing the square. X^2 - 12x = -20

Answer:

Step-by-step explanation:

1S. JM bisects ∠ KJL and  ∠JMK ≅ ∠JML

1R. Given

2S. ∠KJM ≅ ∠LJM

2R. Angle bisectors form ≅ ∠s

3S. JM≅JM

3R. Reflexive Propriety ( segment is ≅ with itself)

4S. ΔJMK ≅ΔJML

4R. ASA theorem of congruency

5S. JK≅JL

5R. Coresponding parts of congruent Δs are congruent (CPCTC)

Answer:

2) a trapezoid

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram.

Answer:

the answer is 56

Step-by-step explanation:

15+45+70+30+120=280

280 divided by 5 is 56

To find the mean absolution deviation you add all the digits and then divide the sum by the amount of numbers displayed

Hope this helps

Have a great day!

Answer:

x=8, y=73/3

Step-by-step explanation:

they ask to solve by substitution so from second equation find y

4x-3y= -41 isolate y

4x+41 = 3y divide both sides by 3

(4x+41)/3= y substitute this y in the first equation

5x+2y = -34

5x+2(4x+41)/3 = -34 distribute and find the common denominator

3*5x+(8x+82)/3 = -34

15x+8x+82=-34*3 cross multiply

23x = -102-82

x=-184/23=8

y=(4*8+41)/3=73/3 is about 24.333..

Answer:

4x + 8 = 7.2 + 5x

1. 4x - 4x + 8 = 7.2 + 5x - 4x

2. 8 = 7.2 + x

3. 8 - 7.2 = 7.2 - 7.2 + x

4. 0.8 = x

Step-by-step explanation:

Final Answer: [tex]x = 0.8[/tex]

Steps/Reasons/Explanation:

Question: Equation with variables on both sides: decimals & fractions [tex]4x + 8 = 7.2 + 5x[/tex].

Step 1: Subtract [tex]4x[/tex] from both sides.

[tex]8 = 7.2 + 5x - 4x[/tex]

Step 2: Simplify [tex]7.2 + 5x - 4x[/tex] to [tex]7.2 + x[/tex].

[tex]8 = 7.2 + x[/tex]

Step 3: Subtract [tex]7.2[/tex] from both sides.

[tex]8 - 7.2 = x[/tex]

Step 4: Simplify [tex]8 - 7.2[/tex] to [tex]0.8[/tex].

[tex]0.8 = x[/tex]

Step 5: Switch sides.

[tex]x = 0.8[/tex]

~I hope I helped you :)~

13. is C.

14. I believe is A.

Sorry if i'm wrong I tried though!

It will take seven months for the population of each city to be the same.

On month seven, Salisa's population will be 14,600. (300x7=2,100+12,500=14600)

On month seven, Corsair's population will be 14,600 as well. (200x7=1,400+13,200=14600)

Answer:

The formula of circumference in a circle is 3.14 times diameter.

Step-by-step explanation:

3.14×20=62.8

The circumference is 62.8

Answer:

9:17

Step-by-step explanation:

Answer: 9:17 am

Step-by-step explanation: I added all the minutes together and got 77 minutes. Then I simplified the 77 minutes into an hour and 17 minutes. Then I added the 1hour and 17minutes to 8:00 am.

Answer:

Width = 9

Step-by-step explanation:

(P=2L+2W) = 72

L = 3W<- length is triple the width

(P = 2(3W) + 2W) = 72

P = 8W =72

W = 9

Answer:

0.419

Step-by-step explanation:

To calculate this, we shall make use of Bernoulli approximation of Binomial distribution

if 20% are defective, then 80% are not defective

Probability of selecting a defective fuse is 20/100 = 0.2

Probability of selecting a non defective one is 0.8

Probability of at least 1 being defective is = 1 - Probability of none being defective

Mathematically that will be;

0.8^8 = 0.168

The above is probability of none defective

So the probability of at least one will be

1 - 0.168 = 0.832

Probability of not more than 1 means;

Probability of none + probability of 1 being defective

We already have probability of none above

Probability of 1 being defective means 8 will be non defective

The probability in this case is;

8 C 1 0.2^1 0.8^7

= 8 * 0.2 * 0.8^7 = 0.336

Add this to the probability of none = 0.336 + 0.168 = 0.504

So the probability that we want to calculate from the question will be;

Probability of at least one defective * probability of not more than one defective

= 0.832 * 0.504 = 0.419

Assuming you meant x to the 2nd power:

Factor: 25x2−121

25x2−121

=(5x+11)(5x−11)

Answer:

(5x+11)(5x−11)

Answer: 24

Step-by-step explanation:

Since we are given the value for m and n, we can plug them in and solve the expression.

3(4)+6(3)-6          [multiply]

12+18-6                [add]

30-6                     [subtract]

24

Now, we know the value of the expression is 24.

sorry for bad picture

Step-by-step explanation:

hope it helps you have a great day keep smiling be happy stay safe

Answer:

10 burgers

Step-by-step explanation:

[tex]{3.375pounds}(\frac{12 burgers}{3.99pounds})=(\frac{xburgers}{3.375pounds}){3.375pounds}\\xburgers=10.15\\[/tex]

so you get 10 burgers

or you could approach it

[tex]\frac{3.375}{(1/3)} =[/tex]3.375×3=10.125

Answer:

x

=

−

2

1

2

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

x/12 is the same as 1/12x

so now the equation is 1/12x+1=6

then to simplify it even more we do -1 from both sides so

1/12x+1=6

         -1  -1

again the equation is 1/12x=5

then we multiply both sides by 12 and get x = 60

Answer:

5/2 is your answer

Step-by-step explanation:

Answer:

C. 21/50 because 21/50 written in a decimal is 0.42

Answer:

y=5/2x+5

Step-by-step explanation:

y=mx+b

m=slope=rise/run=5/2

b=y-intercept=5

Answer:

Step-by-step explanation:

Answer:

270 feet.

Step-by-step explanation:

90 multiplied by three is 270. And a baseball field is square (obvi.) which means from one base to the next would still be 90.

Hope this helps!

Answer:

well 270 if you run all around. but 90 if going straight from home to third.

Step-by-step explanation:

the lines all around are congruent determined by the dashes in the middle so each line is 90 feet, so multiplied by three, you get 270 if running all around.

If the length of AC equals 50, the length of the midsegment DE is 25.

Answer:

Ty :D

Step-by-step explanation:

School is hard

Answer:

3a+b

3(4)+3

12+3

15

Step-by-step explanation:

You substitute the variables with the given numbers. I think this is correct.

Answer:

a

Step-by-step explanation:

Answer:

y = 1/3x + 4

Step-by-step explanation:

Make it into slope intercept form

3y = x + 6

y = 1/3x + 2

parallel = same slope

y = 1/3x + b, plug in (3,5)

5 = 1/3(3) + b, b = 4

y = 1/3x + 4

[tex]\pink{\sf Third \: side \: of \: the \: triangle = 45}[/tex]

As, the given triangle is a right angled triangle,

Hence, We can use the Pythagoras' Theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

Here,

In given triangle,

Now, by Pythagoras' theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

[tex] \sf : \implies (51)^{2} = (24)^{2} + P^{2}[/tex]

[tex] \sf : \implies 51 \times 51 = 24 \times 24 + P^{2} [/tex]

[tex] \sf : \implies 2601 = 576 + P^{2}[/tex]

[tex] \sf : \implies P^{2} = 2601 - 576[/tex]

[tex] \sf : \implies P^{2} = 2025[/tex]

By squaring both sides :

[tex] \sf \sqrt{P^{2}} = \sqrt{2025}[/tex]

[tex] \sf : \implies P^{2} = \sqrt{2025}[/tex]

[tex] \sf : \implies P^{2} = \sqrt{(45)^{2}}[/tex]

[tex] \sf : \implies P^{2} = 45 [/tex]

[tex]\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 45}[/tex]

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Answer:

Fabric used on a headband for each player = 22.21 inches

Fabric used on a wristband for each player = 9.43 inches

Step-by-step explanation:

Let fabric used on each headband = [tex]h[/tex] inches

Let fabric used on each wristband = [tex]w[/tex] inches

Number of players for which headband is made = 32

Fabric used on 32 players = 32[tex]h[/tex] inches

Number of coaches for which headband is made = 3

Fabric used on 3 coaches = 3[tex]h[/tex] inches

As per question statement:

Total fabric used on headbands = 777.35 inches

[tex]32h + 3h = 777.35\\\Rightarrow 35h = 777.35 inches \\\Rightarrow h = 22.21\ inches[/tex]

Number of players for which wristband is made = 32

As per question statement:

Fabric used on wristbands = 301.76 inches

[tex]32w = 301.76\\\Rightarrow w = 9.43\ inches[/tex]

Therefore, the answer is:

Fabric used on a headband for each player = 22.21 inches

Fabric used on a wristband for each player = 9.43 inches