The vertex form of the equation of a parabola is x = (y - 3)2 + 41.
What is the standard form of the equation?.
O A. x = y2 + 6y+41
O B. x = y2-6y+ 50
O c. x= y2 +y+22
O D. x = 3y2 - 6y + 50

Answer:

(x+y)+5

Step-by-step explanation:

To solve this, all you need is two variables to represent the 2 numbers. In this case, I used x and y. After that it says the sum of those 2 numbers increased by 5. All you need to know about that is that after x+y is done, you need to increase it by 5. So in this case,

(x+y)=5 satisfies the statement.

Answer:

Total lateral surface of the pyramid = 54 [tex]cm^{2}[/tex]

which agrees with the first listed answer.

Step-by-step explanation:

Notice that the pyramid has for base an equilateral triangle of base 5 cm, and has three lateral triangles which have all the same dimensions for their base (5 cm - since they are all connected to the base of the pyramid), and their height (7.2 cm).

The actual LATERAL surface, includes only the surface of the three lateral triangles.

We use the formula for the area of a triangle: [tex]Area=\frac{base \,*\, height}{2}[/tex]

to calculate the area of each lateral triangle:

[tex]Area=\frac{5\,cm \,*\, 7.2\,cm}{2} \\Area=18 \,cm^2[/tex]

and then multiply the result by three (to account for the three lateral faces)

Therefore, the total lateral surface is:

Total lateral surface = 3 * 18 = 54 [tex]cm^{2}[/tex]

Answer:

bread

cereal

milk

eggs

Step-by-step explanation:

Answer:mebc,embc, bcem,bcme.

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

We can use a ratio to solve

$25       x

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

5             8

Using cross products

25*8 = 5x

200 = 5x

Divide each side by 5

200/5 = 5x/5

40 =x

Answer:

D

Step-by-step explanation:

Final answer:

To find the cubic centimeters of space not filled by the sphere in the cylinder, subtract the volume of the sphere (288π cm³) from the volume of the cylinder (432π cm³), yielding 144π cm³. Therefore, the correct answer is D. 144π cm³.

Explanation:

To determine how many cubic centimeters of space the sphere does not fill in the cylinder, we first need to calculate the volume of the cylinder and then subtract the volume of the sphere from it.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. In this case, with a radius of 6 cm and height of 12 cm, the volume is:

[tex]V_{cylinder}[/tex] = π × (6 cm)² × 12 cm = 432π cm³.

The volume of a sphere is given by the formula V = 4/3 πr³. With a radius of 6 cm, the volume is:

[tex]V_{sphere[/tex] = 4/3 π × (6 cm)³ = 288π cm³.

The space the sphere does not fill up in the cylinder is:

Space not filled = [tex]V_{cylinder}[/tex] - [tex]V_{sphere[/tex] = 432π cm³ - 288π cm³ = 144π cm³.

Therefore, the answer is D. 144π cm³.

Answer:

The volume of the figure is since you have to do width times height so 25 times 8 which would be 200 as your answer.

Hope it helps

Answer:

Step-by-step explanation

3x+9=?

subtract 9 from both sides

3x=-9

divide by 3

x=-3

Now plug it in to find your soultion that is not correct

3(-3)+9=

-9+9=

0

Answer:

To find the expression for the box, we need to simplify the equation. Let's break it down step by step:

3 (x + 1) + 9 = box

First, distribute the 3 to the terms inside the parentheses:

3x + 3 + 9 = box

Next, combine like terms:

3x + 12 = box

Now, we can compare the simplified equation to the given expressions:

3 (x + 4)

2 (x + 6) + x

4(x – 3) – x

3 (x + 1) + 9

We are looking for an expression that matches our simplified equation, which is 3x + 12. By comparing the expressions, we can see that 3 (x + 1) + 9 is the same as 3x + 12.

Therefore, the expression that can be written in the box is 3 (x + 1) + 9.

Please give me brainliest!

Answer:

-422

Step-by-step explanation:

The elevation of the Dead Sea is 422 meters below sea level, meaning that it is -422.

The area of the circle is found by substitifying the radius into the formula A = πr². In this case, with a given radius of 6.5 cm and π as 3.142, the calculated area is approximately 132.732 square centimeters.

To find the area of a circle, you use the formula A = πr², where A represents the area, π is a mathematical constant whose value is given as 3.142 in this case, and r is the radius of the circle.

Since the radius (r) is not directly mentioned in the question, we should understand that the given 13 cm refers to the diameter of the circle, hence the radius will be half, i.e., 13/2 = 6.5 cm.

Substituting these values into the formula gives: A = 3.142 * (6.5)². When you perform the calculation, the result would be about 132.732 square centimeters.

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Answer:

[tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

88 ÷ 44

132 ÷ 44

Reduced fraction:  

2

3

Therefore, 88/132 simplified is 2/3

Answer:

1/10

Step-by-step explanation:

Answer:

2/20?

Step-by-step explanation:

Answer:

B. 172.5 yd squared

Step-by-step explanation:

FIrst, we must find half of the height, which is 15/2 or 7.5.

Next we have to multiply 7.5 times (15+8) which is B.

Step-by-step explanation:

use the image below to help

Answer:

50 lol

Step-by-step explanation:

Answer:

Θ = 50°

Step-by-step explanation:

Using the cofunction identity

tan(90 - x)° = cotx°

Given

cot40°, then

tan Θ = tan(90 - 40)° = tan50°

Thus Θ = 50°

Answer:

x > -1

Step-by-step explanation:

Answer:

[tex]x>-1[/tex]

Step-by-step explanation:

[tex]5 - 2x < 7[/tex]

[tex]5-2x-5<7-5[/tex]

[tex]-2x<2[/tex]

[tex]$\frac{2x}{2}>\frac{-2}{2}$[/tex]

[tex]x>-1[/tex]

Answer:

55

Step-by-step explanation:

Divide both sides by 3.14 to get d by itself.

172.7 / 3.14 = 55 = d

Answer:

the answer would be the first and last equation

Step-by-step explanation:

both equations equal 21+4n

Final answer:

After simplifying the expressions, it's found that 3 + 2(9 + 2n) simplifies to 21 + 4n, and the third expression is exactly 21 + 4n. These two expressions are equivalent.

Explanation:

To determine which two of the three expressions are equivalent, we need to simplify each expression and compare them.

Let's simplify each expression:

3 + 2(9 + 2n) = 3 + 18 + 4n = 21 + 4n

7(3 + 4n) = 21 + 28n

21 + 4n = 21 + 4n

Now, we can compare them:

The first expression, after simplification, becomes 21 + 4n.

The second expression is 21 + 28n, which is not equivalent to the first.

The third expression is exactly 21 + 4n, which is equivalent to the first expression.

So, the expressions 3 + 2(9 + 2n) and 21 + 4n are equivalent.

Answer:

An example of skew lines are the sidewalk in front of a house and a line running across the top edge of a side of a house.

Step-by-step explanation:

:D

Final answer:

Skew lines are lines that do not intersect and are not parallel. Examples include a ladder leaning against a wall, non-parallel railway tracks, and a pencil and a ruler placed randomly on a table.

Explanation:

Skew lines are lines that do not intersect and are not parallel. They are in the same plane but do not lie on the same line. One example of skew lines is a ladder leaning against a wall. The ladder and the wall are in the same plane, but they do not intersect and are not parallel.

Another example of skew lines is a pair of non-parallel railway tracks. The tracks are in the same plane, but they do not intersect and are not parallel.

Finally, a pencil and a ruler placed randomly on a table can also be considered as skew lines. They are in the same plane, but they do not intersect and are not parallel.

The diagram which could be used to prove AABC - AEDC using similarity transformations is A.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles; are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes length of line segment AB, and so on for others).

We are given that;

The three figures in the picture

Now, in first figure

Angle BAC= Angle CED  

(given)

Angle BCA= Angle ECD

(interior opposite angles)

So, both triangles are congruent

Therefore, by congruent triangles answer will be figure A.

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Answer:

positive 1

Step-by-step explanation:

hope it helps.

give me the brain PLZ:)

Answer:

106.81 cm or 107 cm.

Step-by-step explanation:

The formula for finding the circumference (perimeter) of a circle is 2 times pi times r or the radius of the circle, or you can find the diameter by multiplying the radius by 2, in this case 34 and multiply that by pi. The diameter is 34 so multiply that by pi and you get 106.81 cm as an approximate. Hope this helps!

The circumferences of the circle is 106.76 cm.

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre.

Given that, a circle has radius = 17 cm

We know that, circumference = π × diameter

diameter = 2 × radius = 17 × 2 = 34

circumference = 34 × 3.14 = 106.76 cm

Hence, the circumference of the circle is 106.76 cm

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Answer:

Its 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

(10x - 5) square units.

Step-by-step explanation:

Let the lengths of equal sides be x units.

Hence, AB + AD + DC = x + x + x = 3x

Therefore, BC = 3x - 2

[tex]Area \: of \: trapezoid \\ = \frac{1}{2} (AD + BC) \times 5 \\ = \frac{1}{2} (x + 3x - 2) \times 5 \\ = \frac{1}{2} (4x - 2) \times 5 \\ = \frac{1}{2} \times 2 (2x - 1) \times 5 \\ = (2x - 1) \times 5 \\ = (10x - 5) \: {units}^{2} [/tex]

Answer:

Step-by-step explanation:

Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.

4.1 + 8.2 > 12.2

12.3 > 12.2

true 

They can form a triangle.

Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:

- if , [tex]c^{2}[/tex] = [tex]a^2 + b^2[/tex] the triangle is right

- If [tex]c^2 < a^2 + b^2[/tex]

- if  [tex]c^2 > a^2 + b^2[/tex] the triangle is obtuse

[tex]4.1^2 + 8.2^2 = 16.81 + 67.24 = 84.05\\12.2^2 = 148.84\\148.84 > 84.05[/tex]

The triangle is obtuse.

The value of the rational expression [tex]\frac{2x^2+5x+9}{x^2+2x-1}[/tex] when x =-2 is -7

A rational expression is an expression that can be written in the form of a ratio of two polynomial expressions. Specifically, it is a fraction in which the numerator and denominator are both polynomials.

To find the value of the rational expression when x=-2, we substitute -2 for x in the expression and simplify:

[tex]\frac{2x^2 + 5x + 9}{x^2 + 2x - 1}[/tex]

= [tex]\frac{(2(-2)^2 + 5(-2) + 9)}{((-2)^2 + 2(-2) - 1)}[/tex]

=[tex]\frac{8 - 10 + 9}{4 - 4 - 1}[/tex]

= [tex]\frac{7}{-1}[/tex]

= -7

Therefore, the value of the rational expression [tex]\frac{2x^2+5x+9}{x^2+2x-1}[/tex] when x =-2 is -7.

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The question is incomplete, see full details in the attached image.

The value of the expression is Option a. -7.

To find the value of the rational expression (2x² + 5x + 9) / (x² + 2x - 1) when x = -2, we need to substitute -2 into the expression.

First, let's calculate the numerator:

Next, we calculate the denominator:

Now, we divide the numerator by the denominator:

So, the value of the rational expression when x = -2 is -7. Therefore, the correct answer is Option a. -7.

Complete question:

What is the value of the rational expression (2x²+5x+9)/x²+2x-1 when x=-2

a. -7

b. -9

c. 9

d. 7

Answer:

Step-by-step explanation:

Given

Evaluating:

Used rules:

Answer:

B-quotient of powers

C-power of a power

E-negative exponent

Step-by-step explanation: