The first three steps of completing the square to solve the quadratic equation 2? + 8x + 5 = 0 are shown
below.
Step 1: x² + 8.0 = -5
Step 2: x2 + 8x + 16 = -5+16
Step 3: (x + 4)2 = 11
What are the next 3 steps?

Answer:

60°

Step-by-step explanation:

Answer:

The answer is D or 180 degrees

Thank you Consider brainliest <3

Step-by-step explanation:

Answer:

The axis of symmetry is simply 0

Step-by-step explanation:

When you enter that equation on the graph the axis of symmetary is the line that goes straight throught the middle of it.

I inserted an image so you could understand a littler better. Hope this helps!

The axis of symmetry of the quadratic equation y = 2x^2 + 3 is x = 0

The equation is given as:

y = 2x^2 + 3

Differentiate the above equation with respect to x

y' = 4x + 0

This gives

y' = 4x

Set the equation to 0

4x = 0

Divide both sides by 4

x = 0

Hence, the axis of symmetry is x = 0

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Answer:

15 in

Step-by-step explanation:

Volume / Area = missing length

360 / 24 = 15 in

A = 45 inches!

11 + 7 = 18

12 + 5 = 17

6 + 4 = 10

18 + 17 = 35

35 + 10 = 45

Answer:

7 total atoms.

Step-by-step explanation:

There's nothing written for N, so we assume there is one atom. There is 4 written for H, plus the other H at the end, making 5 hydrogen atoms. There is nothing written for O, so we assume there is one atom. 1+5+1=7 total

Answer:

7

Step-by-step explanation:

BABA BOI

The statements that are true for this parabola are:

C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.

Option D.

Given the following data:

Mathematically, the standard equation of the directrix line for a parabola is given by: y = a(x - h)² + 2.

Next, we would determine the distance where point (8, 6) lie on the parabola as follows:

y = a(x - h)² + 2

6 = a(8 - 4)² + 2

6 = a(4)² + 2

6 = 16a + 2

16a = 6 - 2

16a = 4

a = 4/16

a = 1/4.

Therefore, the parabolic equation becomes:

y = 1/4(x - 4)² + 2

When x = 2, we have:

y = 1/4(2 - 4)² + 2

y = 1/4(-2)² + 2

y = 1/4(4) + 2

y = 1 + 2

y = 3.

In conlusion, the statements that are true for this parabola in the image above include:

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Explanation:

The notation [tex]T(x, y) = (x+6, y-4)[/tex] tells us to add 6 to the x coordinate and subtract 4 from the y coordinate.

An equivalent notation would be to write [tex](x,y) \to (x+6, y-4)[/tex]

Point P has the x coordinate of -9. Adding on 6 gets us the new x coordinate of -9+6 = -3

It also has the y coordinate of -2. Subtract off 4 to get -2-4 = -6

So,

[tex](x,y) \to (x+6, y-4)\\\\(-9, -2) \to (-9+6, -2-4)\\\\(-9, -2) \to (-3, -6)[/tex]

Answer:

P' (- 3, - 6 )

Step-by-step explanation:

the translation

(x, y ) → (x + 6, y - 4 )

means add 6 to the x- coordinate and subtract 4 from the y- coordinate , so

P (- 9, - 2 )  → P' (- 9 + 6, - 2 - 4 ) → P' (- 3, - 6 )

Answer:

y=-9/2, x=7

Step-by-step explanation:

You can solve this via substitution. First solve for x in terms of y in one of the equations given. Lets use the first one:

25+4y=x

Now plug 25+4y in for x in the second equation

3(25+4y)-2y=30

75+12y-2y=30

75+10y=30

10y=-45

y=-9/2

Plug this into the first equation:

25-x=-4(-9/2)

25-x=18

x=7

Answer:

34

Step-by-step explanation:

to find the number to add 4 which will increase it to 10 with them subtract 10 from 4 to find the number which is increasing termly

=> 10 - 4 = 6

increasing by 6

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22-

22 + 6 = 28

28 + 6 = 34

6th term = 34

Answer:

y = 3x + 13

Step-by-step explanation:

The equation of a line is also known as slope-intercept form.

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.

To put an equation in slope-intercept form, we need the slop and the y-intercept.

In this case, we already have the slope which is 3.

So far, we have y = 3x + b

Now, we need to find the y-intercept.

Since you already have a point, we can plug in the x and y values from the point, into the equation.

10 = 3(-1) + b

Now, we can solve for b.

10 = -3 + b

Add three on both sides so it becomes:

13 = b

13 is the y-intercept

y = 3x + 13

Answer:

6

Step-by-step explanation:

145-68.50 = 76.50

76.20/12.75 = no of t-shirts she can buy

ans= 6

Answer:

2√30

Step-by-step explanation:

Since we have a right triangle, we first need to find the base of the big triangle, which is also the hypo of the smaller triangle.

We apply A²+B²=C²

We plug values in that we have

15²+B²=19²

Simplify

B²=136

B=√136=√2x2x2x2x17=4√17

Now that we have the hypo for the small triangle we apply the same formula to get X

4²+X²=√136

16+X²=136

X²=120

X=√120=√2x2x2x3x5=2√30

Answer:

11.0 mm (3sf)

Step-by-step explanation:

Let length of hypotenuse of smaller triangle be H mm. (this is referring to the only unlabelled length in the picture)

by the Pythagorean theorem (larger triangle),

19² = 15² + H²

H² = 361 - 225

H² = 136

by the Pythagorean theorem (smaller triangle),

H² = 4² + x²

136 = 16 + x²

x² = 120

x = 11.0 mm (3sf)

hope this helps!

Answer:

0.2248307402

Step-by-step explanation:

Let 'success', p = 0.16,

and 'failure', q = 1 - 0.16 = 0.84

and the number of trials, n = 7

r = 2

[tex]P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} \\ P(X = 2) = \binom{7}{2} {(0.16)}^{2} {0.84}^{5 - 2} \\ = 0.2248307402[/tex]

Answer:

11

9.75

17

14

5

Step-by-step explanation:

q=17-6=11

4n-31=8

4n=31+8=39

n=9.75

2r=35-1=34

r=17

42=8t-5t=3t

t=14

4p=17+3=20

p=5

Answer:

8.275

Step-by-step explanation:

8.280 - 8.270 = 0.010

0.010/2 = 0.005

8.270 + 0.005 = 8.275

Answer:

8580 yards

Step-by-step explanation:

[tex]4 \frac{7}{8}miles \times 1760 \frac{yards}{mile} = 8580yards[/tex]

The total will the friend's paddle combined is 51480 yards.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

The Great Adventures Canoe and Kayak company offers 3 different options as shown in the table.

This afternoon a group of  6 friends is paddling the Adventure Mid Trip in individual kayaks.

The totals will the friends paddle combined is;

[tex]\rm = 4\dfrac{7}{8} \times 6\\\\=\dfrac{4\times 8+7}{8}\times 6\\\\=\dfrac{32+7}{8} \times 6\\\\ =\dfrac{39}{8} \times 6 \\\\=\dfrac{234}{8}\\\\= 29.25[/tex]

Here 1 mile = 1760 yards

The totals will the friends paddle combined is;

[tex]= 29.25 \times 1760\\\\=51480[/tex]

Hence, The total will the friend's paddle combined is 51480 yards.

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Answer: Is your question "What is the length of each side?"

Let x = the length of the second side

Let x - 5 = the length of the first side

Let (x - 5) - 2 = the length of the third side

P = a + b + c

x + x - 5 + x - 7 = 42

3x - 12 = 42

3x = 54

x = 18 yards

x - 5 = 13 yards

x - 7 = 11 yards

Step-by-step explanation:

Answer:

1.97596 miles

simplified

1.976 miles

If the invested price is $ 148,000 for 12 years with a return of $210,160. Then the rate of interest will be 11.83%.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Julie invested $148,000 in a simple interest account.

After 12 years and no additional deposits or withdrawals, the account balance was $210,160.

Then the interest rate will be

[tex]\rm A = \dfrac{PRT}{100}\\[/tex]

We have

A = $ 210,160

P = $148,000

T = 12 years

Then the interest rate will be

[tex]\begin{aligned} 210,160 &= \dfrac{148000 \times R \times 12}{100}\\\\R &= 11.83 \% \end{aligned}[/tex]

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Answer: 3.5%

Step-by-step explanation:

Answer: C

Step-by-step explanation: Black shade will be 13/16 . That isn't fair at all. It has more Black

Answer:

10

Step-by-step explanation:

-(-17)=17-7=10

Answer:

x = -119/16

Step-by-step explanation:

x/-17 = -x-7

x/-17 + x = -x-7+x

SIMPLIFY

16x/17 = -7

so x= -119/16

(I TRIED TO SOLVE THIS HOPE THIS HELPS).

3 inch.

the length of the new pieces.

to find the length of the new piece's you'll have to divide 3 by 2.

3/2

= 1.5 inch

so, the length of the new pieces is 1.5 inch.

Answer: 4

Step-by-step explanation:In geometry a quadrilateral is a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning side

Answer:

[tex]1 + { \sin} \theta[/tex]

Step-by-step explanation:

[tex] \frac{ { \cos}^{2} \theta}{1 - \sin \theta} \\ \\ = \frac{ { \cos}^{2} \theta}{(1 - \sin \theta)} \times \frac{(1 + \sin \theta)}{(1 + \sin \theta)} \\ \\ = \frac{{ \cos}^{2} \theta(1 + { \sin} \theta)}{(1 - { \sin}^{2} \theta)} \\ \\ = \frac{{ \cancel{ \cos}^{2} \theta}(1 + { \sin} \theta)}{ \cancel{{ \cos}^{2} \theta}} \\ \\ = 1 + { \sin} \theta[/tex]

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{cos^2\theta}{1-sin\theta}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1-sin^2\theta}{1-sin\theta}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{(1-sin\theta)(1+sin\theta)}{1-sin\theta}[/tex][/tex]

[tex]\\ \rm\Rrightarrow 1+sin\theta[/tex]

Option A

Answer:

124.8

Step-by-step explanation:

Answer: $130

Step-by-step explanation:

60% = 78

1% = 78/ 60

100% = 78/60 ×100

Discount is 40% = $52

Answer:

if im not mistaken, x = 13!!