Solve 2x2 + 20x + 8 = 0 by completing the square.

a. x = –5 + √17, x = –5 √–17

b. x = –5 + √21, x = –5 –√21

c. x = 5 + √21, x = 5 –√21

d. x = 5 + √17, x = 5 –√17

Answer:

[-5, 5]

Step-by-step explanation:

Answer:

k = 9

Step-by-step explanation:

Consider the pattern on the right side , that is

[tex]T_{k}[/tex] = k(k + 2) + 1 = k² + 2k + 1

Equating

k² + 2k + 1 = 100 ( subtract 100 from both sides )

k² + 2k - 99 = 0 ← in standard form

(k + 11)(k - 9) = 0 ← in factored form

Equate each factor to zero and solve for k

k + 11 = 0 ⇒ k = - 11

k - 9 = 0 ⇒ k = 9

But k > 0 , then k = 9

Step-by-step explanation:

if 21 dollars = 35 liters

the ? dollars = 1 litre

it will be less so more which is the 35 divides

so we have

1/ 35 ×21

21/35

0.6

Answer:

PROOF FOR THE "PROVE" SECTION:

As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.

Filling in the missing blanks:

S1. Angle 1, Angle 2, Angle 3

S2. Angle 1 and Angle 2

R3. Congruent (___)

R5. supplementary angles

S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)

Hope this helped! Have a great day (pls mark brainliest)!!

Answer:

3 3/4

Step-by-step explanation:

Answer:

At the end of the 4th round

x=4

Step-by-step explanation:

Put in a value for x for both equations

3(4) + 50 = 62

4(2)^4 = 64

62<64

So in round 4, Zavion will have more points

Answer:

54

Step-by-step explanation:

C=πd

π=3

d=18

C=3×18

Therefore C=54

Answer:

c=54

Step-by-step explanation:

Answer:

answer attached: x = 5√2

Step-by-step explanation:

Answer:

Step-by-step explanation:

All of the right triangles are similar. This means ...

  long side / short side = x/2 = 25/x

Multiplying by 2x gives ...

  x² = 25·2

  x = (√25)(√2)

  x = 5√2

_____

Additional comment

The "geometric mean" of 'a' and 'b' is √(ab). With this in mind, you can see that x is the geometric mean of the lengths 2 and 25. This is always true for this right-triangle geometry.

There are two other geometric mean relations in this geometry, having to do with the other possible ratios of sides. In effect, the length of a segment that touches the hypotenuse (longest side) of the triangle is the geometric mean of the two segments of the hypotenuse it touches.

Left side = √(2·27) = 3√6

Bottom side = √(25·27) = 15√3

[tex]6 \times (3 + 8) \\ = (6 \times 3) + (6 \times 8)[/tex]

Answer:

(6×3)+(6×8)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

16/3 or 5 1/3

Step-by-step explanation:

Cross Multiply

4×4

3×x

16=3x

Divide 3 from 16

x=16/3 or 5 1/3

[tex]\huge \bf༆ Answer ༄[/tex]

Let's find the slope considering the points (9 , 7) and (6 , 15)

Answer:

(f+g) (x)= -5x-4= (-3x-2)

or, -5x + 3x= -4+2

or, -2x= -2

or,x= 2/2

:. x= 1

Step-by-step explanation:

Answer:

262144

Step-by-step explanation:

Hope I was able to help you with your question , have a great day :)

Answer:

Step-by-step explanation:

I think 8 to the power of 6 Is 262144

Answer:

Question 2: 2/3

Question 1: 1/3

Question 3: 20

Step-by-step explanation:

Question 2: 8/4 = 2 & 12/4 = 3.

Question 1: 6/6 = 1 & 18/6 = 3.

Question 3: 10/10 = 1 & 20/10 = 2.

Answer:

Please give Brainliest!

Step-by-step explanation:

The three sides are 36ft, 72ft, and 59 ft.

Answer:

x=2

Step-by-step explanation:

Answer:

$95,600

Step-by-step explanation:

the question can be rephrased as '4780 is five percent of what number'?

we can use the ratio of 'is/over' = %/100 to solve

'is' = 4780

'of' = selling price of house ('p')

4780/p = 5/100

now cross-multiply:

5p = 478000

p = 95600

Answer:

See image

Step-by-step explanation:

Use Pythagorean Theorem

a^2 + b^2 = c^2

See image

Answer: 90° + 41° =131° 180°-131° =149°

X=5.5-6

Step-by-step explanation:

Step-by-step explanation:

i think it is the answer ...

Answer:

[tex]-\sqrt{5\\}[/tex]

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

nugget

Answer:

is saying the half of q is 9 so you have to find out the value of q and when you find out the value for example x=18 the half of 18 is 9 I don't know if you undertand my explication

Step-by-step explanation:

18 the half of 18 is 9 because 9+9=18

Answer:

P = 22.22

Step-by-step explanation:

Answer:

Incorrect

Step-by-step explanation:

for your slope go down two to the right one

Answer:

20 necklaces

Step-by-step explanation:

If Elizebeth is starting off w/10 necklaces we can find on the graph that $10 buys an additional 10 necklaces. Now knowing that information we can add 10 necklaces to our original necklaces and get 20 necklaces. We can also find that our unit rate of change is 10 dollars : 10 necklaces or 1 dollar : 1 necklace. Knowing this can help us solve future problems like how many necklaces can Elizebeth get for x dollars.

Answer:

B)

Step-by-step explanation:

10/5 + 4(72 - 6)

10/5 + 288 - 24          Distribute the 4 to 72 and 6

2 + 288 - 24               Divide

2 + 264                       Combine the like terms

262