Convert standard form to vertex form y=2+3x ^2

9514 1404 393

Answer:

  A

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

Using these rules, along with the distributive property, we can simplify the given expression.

  [tex]\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2\\\\=\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5^2a^{4\cdot2}b^{4\cdot2})\\\\=(9)(3)a^{3+3}b^{6+2}+(9)(7)a^{3+2}b^{6+2}-25a^8b^8=27a^6b^8+63a^5b^8-25a^8b^8\\\\=\boxed{-25a^8b^8+27a^6b^8+63a^5b^8}\qquad\text{matches A}[/tex]

Answer:

Step-by-step explanation:

Option B 2. Now is the correct answer because when we multiply 6 by 2 we get 12 then we multiply 12 by 2 we get 24

Answer:

40

Step-by-step explanation:

if you line the numbers up like so you will see the number in the middle is 40

aka the median

20,20,23,40,63,67,73

Answer:

C

trust me that is my answer

Answer:

$5.44

Step-by-step explanation:

$1.75 + $1.26 + $1.08 + $0.52 = $4.56

$10.00 - $4.56 = $5.44

Answer:

2 packs

Step-by-step explanation:

because 10+10 =20 so he would buy 2 packs of t-shirts :)

Answer:

mHK= 104

Step-by-step explanation:

X+39=4X

39 = 3x

X=13

13+39=4(13)

52=52

HK=52+52

mHK=104

Answer:

119.

Step-by-step explanation:

12x12 is 144

5x5 is 25

144-25 = 119

Answer:

77.43

Step-by-step explanation:

Answer:

77.43 people were canda

Step-by-step explanation:

To find 8.9% of 870, we first turn 8.9% into a decimal. We can do this by shifting the decimal point two places to the left. This gives us 0.089. Now, we multiply this decimal by 870. Our product, 77.43, is our final answer.

Answer:

If I remember correctly isn't it -4

Step-by-step explanation:

I am pretty sure that's it

the answer is on the picture

Answer:

one and 1/6 cups (1 1/6)

Step-by-step explanation:

2/3 + 1/2

TOTAL means addition.

To add 2/3 and 1/2, we must first find the lowest common denominator (LCD).

The denominator of 2/3 is 3.

The denominator of 1/2 is 2.

Now, we list the multiples of the denominator and find the lowest multiple they have in common.

3: 3, 6, 9, 12, 15

2: 2, 4, 6, 8, 10

The lowest number they have in common is 6.

Second, we change the denominators to 6.

In 2/3, to make 3 into 6, we have to multiply it by 2.

Since we're multiplying the denominator by 2, the numerator will be multiplied by 2 as well.

2/3 x 2/2 = 4/6

Now we do the same for 1/2.

1/2 x 3/3 = 3/6

Now, we add the new fractions.

4/6 + 3/6 = 7/6

7/6 = 1 1/6 (one and 1/6 cups).

Answer:

A. 30000

B. 12000

Step-by-step explanation:

Find out how much spectators leave in 1 minute.

1 second = 5

1 minute = 5 x 60 = 300 (60 seconds)

20 minutes = 300 x 20 = 6000

Since there were only 80% of the full capacity of spectators and after minutes it became 60%...

80% - 60% = 20%

20% = 6000

1% = 6000 ÷ 20 = 300

100% = 300 x 100 = 30000

1 minute = 300 spectators leaving

1 hour = 300 x 60 = 18000 (60 minutes)

30000 - 18000 = 12000

Answer:3418

Step-by-step explanation:

The volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.

To find the volume of a cylinder, you can use the formula:

Volume = π * r² * h

Given:

Radius (r) = 8 ft

Height (h) = 17 ft

Plugging these values into the formula, we can calculate the volume:

Volume = π * (8 ft)² * 17 ft

= π * 64 ft² * 17 ft

≈ 3418.05 ft³

Rounding the volume to the nearest tenth, we get:

Volume ≈ 3418.1 ft³

Therefore, the volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.

To know more about volume of the cylinder click here:

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Answer:

10

Step-by-step explanation:

Given two points we can use the distance formula to calculate the distance between the two points.

Formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where the x and y values are derived from the given points.

we are given the points (1,7) and (9,1)

To find the distance we plug in the x and y values of the points into the formula

[tex]d=\sqrt{(9-1)^2+(1-7)^2} \\9-1=8\\1-7=-6\\d=\sqrt{8^2+(-6)^2} \\8^2=64\\-6^2=36\\d=\sqrt{64+36} \\64+36=100\\\sqrt{100} =10\\d=10[/tex]

So we can conclude that the distance between the points (1,7) and (9,1) is 10 units

Answer:

jkudrhytiu4wry bui634y uiyb4uiyttui4ytui4yuityu34w ytiuyy4ty4oi8t4otiu4ioyt

Step-by-step explanation:

ryeropiutopier5uoiyturloiuy6otieruoiyluriluyrtuur6

Answer:

M

Step-by-step explanation:

Answer:

Point M

Step-by-step explanation:

Each line represents 0.05 so M would best represent 1/3

Option : D

Hope it helps you!

Answer:

4

Step-by-step explanation:

8+2=10

10x2=60

60-2^4=4

the value of 2^4 is 56

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8 + 2\times6 - 2^4 }[/tex]

[tex]\mathsf{2\times 6 = \bf 12}[/tex]

[tex]\mathsf{8 + 12 - 2^4}[/tex]

[tex]\mathsf{8 + 12 = \bf 20}[/tex]

[tex]\mathsf{20 - 2^4}[/tex]

[tex]\mathsf{2^4}[/tex]

[tex]\mathsf{= 2\times 2\times2\times2 }[/tex]

[tex]\mathsf{= 4\times 4 }[/tex]

[tex]\mathsf{= \bf 16}[/tex]

[tex]\mathsf{20 - 16 = \bf 4}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 4}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

3.47$

Step-by-step explanation:

Answer:

the image isn't clear

can you type the numbers???

Step-by-step explanation:

Answer:

-6 pick mine as brainlest

Step-by-step explanation:

Answer:

Area is 1900

Step-by-step explanation:

Give Me Brainllest

Answer:

[tex]y = 4x+17[/tex]  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex]  and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

[tex]m[/tex] represents the x and y values of one point the line intersects, so  substitute 4 in its place. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, so substitute -3 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex]. This gives the following equation in point-slope form:

[tex]y-5 = 4(x+3)[/tex]

2) Now, put it in [tex]y =mx + b[/tex] format, or slope-intercept form by isolating the y:

[tex]y-5 = 4(x+3)\\y-5 = 4x + 12\\y = 4x+17[/tex]

The equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The line's equation in point-slope form is;

 y = mx+c

We may then transform it to a slope-intercept form. Substitute values in the point-slope formula as;

y-y₁=m(x-x₁)

y-5=4(x-(-3)

y-5=4(x+3)

y--5=4x+12

y-4x+17

Hence,the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.

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Answer:

23.51m is the height

Step-by-step explanation:

the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51