Please help explanation if possible

Answer:

(b) It is symmetrical about [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex]y = 2(x - 1)^2 - 5[/tex]

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Required

True statement about the graph

First, we check the line of symmetric

[tex]y = 2(x - 1)^2 - 5[/tex]

Expand

[tex]y = 2(x^2 - 2x + 1) - 5[/tex]

Open bracket

[tex]y = 2x^2 - 4x + 2 - 5[/tex]

[tex]y = 2x^2 - 4x -3[/tex]

A quadratic equation [tex]y = ax^2 + bx + c[/tex] has the following line of symmetry

[tex]x = -\frac{b}{2a}[/tex]

By comparison, the equation becomes:

[tex]x = -\frac{-4}{2*2}[/tex]

[tex]x = \frac{4}{4}[/tex]

[tex]x = 1[/tex]

Hence, the line of symmetry is at: [tex]x = 1[/tex]

(b) is true.

Answer: It is symmetrical about x=1

Step-by-step explanation:

Answer:

x = 21.4

Step-by-step explanation:

We need to use the law of sins

sin 42       sin x

--------- = ----------

22              12

12 sin 42 = 22 sin x

12 sin 42 /22 = sin x

Taking the inverse sin of each side

sin^-1(12/22 sin 42) = sin^-1(sin x)

21.40637223 =x

To the nearest tenth

x = 21.4

Answer: Approximately 17.69

Step-by-step explanation:

The formula needed to find the third side of this equation is the Pythagorean theorem. Which is as follows:

[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}[/tex]

The difference between the two is that the first one after you do [tex]a^2+b^2[/tex] you still need to square root the answer you get to get the third side, aka. the hypotenuse. If you do the second method, you get the answer after you do the calculation which is a lot easier.

Below are the calculations needed to be made in both ways:

[tex]12^2+13^2=313\\\sqrt{313}= 17.69[/tex]   17.69 was rounded to the hundredths place.

[tex]\sqrt{12^2+13^2}=17.69[/tex]   once again this answer was rounded to the hundredths place.

[tex]a^2+b^2[/tex] are respectively for the sides of the triangles.

[tex]c^2[/tex] is respectively for the hypothenuse, which is the longest side, and across from the right angle (located by a box).

Answer:

5 or 17.69

Step-by-step explanation:

1st case senario:

c^2=a^2+b^2

c^2=12^2+13^2

c^2=144+169

c^2=313

c^2=[tex]\sqrt{313}[/tex]

c=17.69

2nd case senario:

144+b^2=169

b^2=169-144

b^2=25

b^2=[tex]\sqrt{25}[/tex]

b+5

Answer:

x/x∈R,x≤5 1/6

Step-by-step explanation:

Step-by-step explanation:

In this problem, all we have to do is replace x and y with the values we've been given.

It can be helpful to think of 3x as 3 * x (which is the same exact thing), so I'll write it out that way.

3*x - 4*y

(replace)

3*4 - 4*3

(multiply (doing this step first because of PEMDAS))

12 - 12

(subtract)

0

Answer:

0

Answer: 0

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given

3x - 4y

x = 4, y = 3

Substitute value of x and y

3(4) - 4(3)

Simplify multiplication

12 - 12

Final subtraction

0

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Create a function representing number of published articles per month:

[tex]a=12m+60[/tex]

Where:

Now substitute in the values of m to get the a-value:

Answer:

n = 3

Step-by-step explanation:

Given

5 + 8n = 7(- 7 + 4n) - 6 ← distribute parenthesis on right side

5 + 8n = - 49 + 28n - 6 ( subtract 28n from both sides )

5 - 20n = - 55 ( subtract 5 from both sides )

- 20n = - 60 ( divide both sides by - 20 )

n = [tex]\frac{-60}{-20}[/tex] = 3

Answer:

B

Step-by-step explanation:

x((7/2)-(7/3))=y+x

x(7/6)=y+x

7x=6y+6x, x=6y. y/x=1/6

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

Given the following data;

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW  ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

Perimeter, P = 112 meters

Answer:

56

Step-by-step explanation:

Answer:

total surface area  = 298.45105 m2

lateral surface area = 141.37155 m2

top surface area = 78.53975 m2

bottom surface area = 78.53975 m2

Step-by-step explanation:

Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.

To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.

The formula for the surface area of a cylinder is given by:

Surface Area = 2πr² + 2πrh

Where r is the radius of the base and h is the height of the cylinder.

Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.

Plugging in the values, we have:

Surface Area = 2π(5)² + 2π(5)(4.5)

Simplifying the equation:

Surface Area = 2π(25) + 2π(22.5)

Surface Area = 50π + 45π

Surface Area = 95π

To find the actual numerical value, we can approximate π as 3.14:

Surface Area ≈ 95 * 3.14

Surface Area ≈ 298.3 square inches

To learn more about cylinder click on,

https://brainly.com/question/24309865

#SPJ2

Answer:

B. PM = NP

Step-by-step explanation:

Answer:

-27tn

Step-by-step explanation:

Use KIO (keep, inverse, opposite) then divide.

Answer:

Its that squiglly one on top

Step-by-step explanation:

cuh cuh cuh cuh cuhc

Answer:

C. Complex

Step-by-step explanation:

A complex number consists of a real part (-4.8) and an imaginary part (56i)

Answer: D. Angles that form a linear pair are sometimes supplementary.

That is not true, linear pairs are always supplementary.

Answer:

D. Angles that form a linear pair are sometimes supplementary.

~OAmalOHopeO

Answer:

It already shows the answers.

Step-by-step explanation:

I'm pretty sure you already submitted. The ones with check marks are correct and the ones with x marks are incorrect.

The volume of this pipe considering the thickness of the pipe is 154 cubic inches.

The general formula to calculate the volume of a cylindric object such as a pipe is:

In this formula, d represents the diameter and h represents the height.

The external diameter is 6 inches; however, the pipe is 1.25 inches thick, which implies the real internal diameter is 3.5.

Now, let's calculate the volume:

Learn more about cylindric in: https://brainly.com/question/14965384

Answer:

D. 154 cubic inches

Step-by-step explanation:

Answer:

C) x=2

[tex]3x+8=4x+6[/tex]

[tex]8-6=4x-3x[/tex]

[tex]x=2[/tex]

~OAmalOHopeO

3x + 8 = 4x + 6

3x - 4x = 6 - 8

-x = -2

x = 2

Answer:

The smallest number is -10

Answer:

it's -10

Step-by-step explanation:

Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.

hope this helps

Answer: Choice A

Explanation:

Since -3/5 > -0.8, this means -3/5 is to the right of -0.8

Larger stuff is to the right of smaller stuff. Another example would be 10 > 7, meaning we have 10 to the right of 7 since 10 is larger.

Any negative value is always to the left of 0, so -3/5 is to the left of 0.

That's why the answer is choice A.

Answer:

Slope is (1/4)

Step-by-step explanation:

The slope is calculated by (6-5)/(5-1)=1/4

Answer:

-5, - 2, 3

Step-by-step explanation:

y=2x+3, y=-7, x=-5; y=-1, x=-2, y=9, x=3

Answer:

scale factor= /2

Step-by-step explanation:

The scale factor is 1/2, which is equivalent to 0.5

Yes. When a graph has more than one line it is a piece wise graph.

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