Find the equation of the axis of symmetry of the following parabola algebraically.
y=-x^2+12x-38

Answer:

Step-by-step explanation:

we cant see the question :)

Answer: If you have to fill in the chart I think you just add them together so aluminum would be +3, phosphide -3, iodide -1, and tin 0

Step-by-step explanation:

The solutions of the rational equation x-1 / x+2 = x² + 2 x-3/x+2 are x = -2 and x = 1

In this question,

We have been given a rational equation.

x-1 / x+2 = x² + 2 x-3/x+2

We need to find the solution of given rational equation.

Here, the denominator is same on the both sides.

x-1 / x+2 = x² + 2 x-3/x+2

⇒ x - 1 = x² + 2 x-3

⇒ x² + 2x - 3 - x + 1 = 0

⇒ x² + x -2 = 0

We solve above quadratic equation.

⇒ x² + 2x - x - 2 = 0

⇒ x(x + 2) - (x + 2) = 0

⇒ (x + 2)(x - 1) = 0

⇒ x + 2 = 0                or          x - 1 = 0

⇒ x = -2        or         x = 1

Therefore, the solutions of the rational equation x-1 / x+2 = x² + 2 x-3/x+2 are x = -2 and x = 1

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Answer:

3, 9% more people have green as their favorite color over yellow. 4. Picture is cut off so I can't see sorry 5. science and social studies 6. Mike spends 40% more time studying math then he does science

Step-by-step explanation:

Answer:

3500cm3

Step-by-step explanation: since A and B are equal, and B has a volume of 3500 cm3 then A will have the same.

Extra: The horizontal measure of A is 1500 and the verticle is 1500

We need to position the right triangle Δ MNO in the first quadrant with coordinates , M(0,0) , N (0,a) & O (2a,0).

It is given that Δ MNO with right angle at point M has legs of lengths a and 2a .

We have to position the triangle on coordinate plane.

What is a right angled triangle ?

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.

As per the question ;

The triangle is a right angle triangle, so it's two sides can be located

on axis.

Place the right angle of the triangle Δ MNO at M.

i.e., M will have coordinates (0,0)

The origin will allow the two legs to be along the x and y-axes , so position the triangle in the first quadrant.

As N is on the y-axis ;

Its x-coordinate will be 0 and the y-coordinate will be a , because the leg is a units long.

i.e., N will have coordinates (0,a)

As O is on the x-axis,

its y-coordinate will be 0 and the x-coordinate will be 2a , because the leg is 2a units long.

i.e.,

O will have coordinate (2a,0)

We can put these coordinates after placing the triangle in the first quadrant i.e., M (0,0) , N (0,a) & O (2a,0).

Thus , we need to position the right triangle Δ MNO in the first quadrant with coordinates , M(0,0) , N (0,a) & O (2a,0).

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Answer:

8xh h=hours

Step-by-step explanation:

8 times how ever much hour than that's all if there's tips well just add it to your answer

Answer: A. 4w+(-75)

B. 925

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The slope of the line with points p(x, y) and p′(x′, y′) is given by:

[tex] (\frac{x. \: - \: x}{y. \: \: - y } )[/tex]

[tex] (\frac{8 - ( - 4)}{5 - 2} )[/tex]

12/3

slope = 4

Answer:

= 0.377 liters

= 377 mililiters

Step-by-step explanation:

Volume of a regular cylindrical container = л r ² h

л = 3.1416   (aprox,)

r = radius

h = height = 15cm (half filled) = 15/2 = 7.5cm

then:

Volume = 3.1416 * (4cm)² * 7.5cm

volume = 3.1416 * 16cm² * 7.5cm

volume =  377 cm³      (aproximadly)

1 cm³ = 0.001 liters

377 cm³ = 0.001*377 = 0.377 liters = 377 mililiters

The joules are in 12.1 g of parsley is 24.806936 Joules of energy

10g has 4.9 cal

1g has 4.9/10 cal

Energy in 12.1 g = 4.9 x 12.1 / 10 = 5.929 Cal = 5.929 x 4.18400 = 24.806936 Joules of energy [1 calorie = 4.18400]

In the International System of Units (SI), a joule is a unit of work or energy equal to the work done by a force of one newton acting through one meter. It is named after the English scientist James Prescott Joule and equals 107 ergs, or about 0.7377 foot-pounds. The joule is equivalent to one watt-second in electrical terms, which is the amount of energy released in one second by a current of one ampere through a resistance of one ohm.

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The fraction of the animals in chickens is 52/80 which is 0.65 in decimal form.

So, (A) The fraction of the animals is chickens: 52/80

Simplest form: 13/20

(B) In decimal form: 0.65

Therefore, the fraction of the animals in chickens is 52/80 which is 0.65 in decimal form.

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Given the question, <11 and <14 are supplementary because they sum up to give 180 degrees. Detail below

These are angles that sum up to give 180 degrees. On the other hand, angles on a straight line sum up to give 180 degrees.

Considering the question given above, we can prove that <11 and <14 are supplementary as follow:

<11 + <12 = 180 (angle on straight line)

But

<12 = <14 (corresponding angles)

Thus,

<11 + <14 = 180

Recall

Angle that sum up to give 180 are called supplementary angles

Therefore,

<11 + <14 = 180 => supplementary

From the illustrations given above, we can see clearly that <11 and <14 are supplementary angles

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Answer:

14 to 8

Step-by-step explanation:

8 roses+6 daisies=14 is all the flowers in the vase

Each function's vertex, axis of symmetry, maximum or lowest value, domain, and range are all described as follows: Vertex: (125,125); range: (125,125); minimum: at y=125;  x=125; maximum: no., axis of symmetry is x=125.

The domain of a function is the set of values that we are allowed to enter into our function.

The set of values that a function can accept as input is known as its range.

            y=(x-125)²-125

we know that;

y=(x-h)²+k

Vertex: In this form, the vertex (or, in other words, the "pointy bit") is given to us in the (h ,k);here we have (125,125).

Axis of symmetry : Two equal segments of the parabola. It moves straight up and down via the vertex.

Thus, we may formulate an equation for the vertical line that passes through the vertex. It is x=125 in this query..

Maximum and lowest values: Here, we're concerned in examining the vertex to determine whether it is at the maximum or lowest of the parabola's range (i.e., when a negative sign is placed in front of the (x-h) = 0 term, respectively).

Range: The value of range is (125,∞ )

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Answer:

< 5 gigabytes

Step-by-step explanation:

Let the number of gigabytes be represented as: g

Under her cell phone plan, Nicole pays a flat cost of $35 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

Under $60 = less than (<) $60

Hence, our inequality equation is given as:

$35 + $5 × g < 60

35 + 5g < 60

Collect like terms

5g < 60 - 35

5g < 25

g < 25/5

g < 5 gigabytes

Therefore, the number of gigabytes she can use while staying within her budget less than 5 gigabytes

Answer:

[tex]\displaystyle 25 = GQ[/tex]

Step-by-step explanation:

If point Q is the centre of GH, then QH and GQ are equivalent segments. So, double the length of GQ, set it equal to the length of GH, then solve for x:

[tex]\displaystyle \boxed{4x + 6} = 2[2x + 3] \\ \\ 5x - 5 = 4x + 6 \hookrightarrow -11 = -x \hookrightarrow \boxed{\boxed{11 = x}}[/tex]

Plug the result into the expression for the length of GQ to get twenty-five units.

I am joyous to assist you at any time.

The division of given rational expression 3x²-9 x / x-2 ÷ x² - 9 / 4 x-8 is 12x / x + 3 provided x ≠ -3

In this question,

we have been given a complex rational expression [tex]\frac{3x^{2} -9x}{x-2}\div \frac{x^2-9}{4x-8}[/tex]

We need to find the division of given rational expression.

We rewrite given rational expression as,

3x²-9 x / x-2 ÷ x² - 9 / 4 x-8

= 3x²-9 x / x-2 / x² - 9 / 4 x-8

= (3x²-9 x / x-2) × (4 x-8 / x² - 9 )

= [tex]\frac{3x(x-3)}{x-2}\times \frac{4(x-2)} {(x+3)(x-3)}[/tex]

= 12x / x + 3     .........(provided x ≠ -3)

Therefore, the division of given rational expression 3x²-9 x / x-2 ÷ x² - 9 / 4 x-8 is 12x / x + 3 provided x ≠ -3

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Answer:

1) 15

Step-by-step explanation:

The smallest integer is 15 because,

There are 7 consecutive integers with n + 6 being the largest, therefore:

7n + 21 = 6(6 + n)

7n + 21 = 36 + 6n

7n - 6n + 21 = 36

n + 21 = 36 ⇒ n = 36 - 21 = 15

Hope this helps!

2) -3  

2/5 = .4

Answer:

[tex] \sf \large \: p = 8[/tex]

Step-by-step explanation:

Let's solve the equation step by step,

p – 6 = 2

Add +6 to both sides

p - 6 + 6 = + 6

p = 8

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

change = dollar_amount - spent_amount

change = 50 - 36.85

change = 13.15

Answer:

26 miles

Step-by-step explanation:

add 9 miles to 17 miles= 26 miles

The Simplified value is [tex]\frac{-3}{4} a^{2} +2b^{2}[/tex].

Like terms are defined as terms that have same variable and and same power.

For Example ; 2a² , 6a² are like terms.

In the given question ,

[tex]=-a^{2} +2b^{2} +\frac{1}{4} a^{2} \\ \\ =-a^{2} +\frac{1}{4} a^{2} +2b^{2}[/tex]

[tex]=a^{2}(-1+\frac{1}{4} )+2b^{2}[/tex]  ( taking a² common )

taking LCM and solving further we get

[tex]=a^{2} (\frac{-4+1}{4} )+2b^{2}[/tex]

[tex]=\frac{-3}{4} a^{2} +2b^{2}[/tex]

Therefore , The value by combining Like terms in -a² + 2b² + (1/4) a² is [tex]\frac{-3}{4} a^{2} +2b^{2}[/tex].

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The missing term is 6.

Here the sequence is -1,__, 11...

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Here the sequence is in an arithmetic sequence, as there is a common difference between the two numbers.

To find the nth term of the sequence we have a formula:

[tex]a_{n}[/tex] = a + (n-1)d

From this we can find a common difference, as we know the 3rd term of the sequence.

[tex]a_{3}[/tex] = -1 + (3-1) d

11 = -1 + 2d

2d = 12

d = 6

Now we have to the 2nd term of the series we have

[tex]a_{2}[/tex] = -1 + (2-1) 6

   = -1 + 6

   = 5

Therefore the 2nd i.e., the missing term of the sequence is 5

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The coordinates of E in Quadrant lll is (3 - [tex]2\sqrt{3}[/tex], -4)

Given,

m < F = 90°

E (x, y) in quadrant lll

F(-3, 4), G(-3, 2)

FG = The longer leg.

FG = [tex]\sqrt{(-3-(-3)^{2} )+(2-(-4)^{2} }[/tex] = [tex]\sqrt{36}[/tex] = 6

FE = [tex]\frac{FG}{\sqrt{3} }[/tex] = [tex]\frac{6}{\sqrt{3} }[/tex] = 2[tex]\sqrt{3}[/tex]

GE = 2FE = 2 × 2√3 = 4√3

ΔEFG is a 30° - 60° - 90° triangle with the longest leg FG = 6.

We apply the 30° - 60° - 90° triangle theorem to determine the short side FE and the hypotenuse GE.

l = 4√3

h = 2√3

[tex]\sqrt{(x-(-3))^{2} +(y-(-4))^{2} }[/tex] = (2√3)²

[tex]\sqrt{(x-(-3))^{2} +(y-2)^{2} }[/tex] = (4√3)²

∴ (x + 3)² + ( y + 4)² = 12

   (x + 3)² + (y - 2)² = 48

Solving this, we get:

Coordinates of E as (3 - 2√3, -4)

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Answer:

I believe the answer is 30.

Step-by-step explanation:

-

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

Work Shown:

x = first integer

x+1 = second integer right after x

The two consecutive integers add to -207

(first) + (second) = -207

(x)+(x+1) = -207

2x+1 = -207

2x = -207-1

2x = -208

x = -208/2

x = -104 is the first integer

x+1 = -104+1 = -103 is the second integer

Check:

-104 + (-103) = -207

The answers are confirmed.

The approximate distance from Charlotte to El Paso is  1. 62 × 10 miles . Options A and C

From the information given, we have that;

To determine the distance from Charlotte to El Pasco, we have the expression

= 7 × distance from Charlotte to Knoxville

Substitute the value

= 7 × 2.31 × 10 miles

= 1. 62 × 10 miles

Thus, the approximate distance from Charlotte to El Paso is  1. 62 × 10 miles . Options A and C

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The surface area of earth is 514.4million [tex]Km^{2}[/tex] and the volume of the Earth is 1.1 ×[tex]10^{12}[/tex] [tex]Km^{3}[/tex].

Radius of Earth = 6400 (approximately).

Earth is a sphere. So by using the formula of Surface Area of sphere we can calculate the Surface area of earth as follows,

Surface Area of Earth = 4[tex]\pi r^{2}[/tex] = 4 × (3.14) × [tex](6400)^{2}[/tex]

                                    =  4 × 3.14 × 40960000

                                    = 514457600 [tex]Km^{2}[/tex]

                                    = 514.4million [tex]Km^{2}[/tex]

The surface area of earth is 514.4million [tex]Km^{2}[/tex] .

Similarly, by using the formula of volume of sphere we can calculate the volume area of earth as follows,

Volume of Earth = (4/3)[tex]\pi r^{3}[/tex]

                           = (4/3)×(3.14)×[tex](6400)^{3}[/tex]

                           =(1.3333)(3.14)(2.6214 × [tex]10^{11}[/tex])

                           = 1.0975 × [tex]10^{12}[/tex] [tex]Km^{3}[/tex]

                           = 1.1 ×[tex]10^{12}[/tex] [tex]Km^{3}[/tex]

The volume of the Earth is 1.1 ×[tex]10^{12}[/tex] [tex]Km^{3}[/tex].

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Based on the fact that the right line is a reflection across the y-axis, the lines are the same, they are just in a different position.

What is a Reflection?

This refers to the rigid transformation type that is used to represent an image and does not change its size or length of it.

With this understanding, we can see that the pre-image and the image in a rigid transformation are congruent which makes the lines to be the same, even if they are in a different position.

Based on the information, it should be noted that the inequality to solve for m will be D. m + 6 < 8; m < 2.

It should be noted that in Mathematics, an inequality is used to show the expressions that are hot the same or equal.

Based on the information given about the triangle, it should be noted that the hypothenuse which is given as 8 is the longest side of the triangle.

Therefore, the inequality to solve for m will be:

m + 6 < 8.

Collect like term

m < 8 - 6

m < 2

Therefore, based on the information, it should be noted that the inequality to solve for m will be m + 6 < 8; m < 2.

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