Evaluate the expression.26
A.26
B.12
C.26
D.36
C.64

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:

(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:

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.

Answer:

I think you may have made a mistake when entering the original equation. Assuming you meant to put "n" where you put "b" as the variable, the answer is b) 1/n^-9

Step-by-step explanation:

You simply add exponents when multiplying them if they have the same base. Thus -3 + -6 is -9.

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.

Step-by-step explanation:

use the image below to help

Answer:

bread

cereal

milk

eggs

Step-by-step explanation:

Answer:mebc,embc, bcem,bcme.

Step-by-step explanation:

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.

Learn more about congruent triangles here:

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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:

Its 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

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:

[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:

positive 1

Step-by-step explanation:

hope it helps.

give me the brain PLZ:)

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:

55

Step-by-step explanation:

Divide both sides by 3.14 to get d by itself.

172.7 / 3.14 = 55 = d

An arithmetic sequence is a sequence with two consecutive terms that are constant, while a geometric sequence is a sequence where the ratio between two consecutive terms constant.

Answer:

1/10

Step-by-step explanation:

Answer:

2/20?

Step-by-step explanation:

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.

Part 1:-

=> Volume of cuboid = lbh

=> Volume of cuboid = 3 × 16 × 2

=> Volume of cuboid = 6 × 16

=> Volume of cuboid = 96 cm³

Part 2:-

=> Volume of traingle = bh

=> Volume of traingle = 10 × 4

=> Volume of traingle = 40 cm³

Now,

→ Total Volume = Vol. of cuboid + Vol. of traingle

→ Total Volume = 96 + 40

→ Total Volume = 136 cm³

Thanks!

Let me know if answer is wrong.

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:

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.

Answer:

36,000 people are likely to vote in favour of the new shopping centre

Step-by-step explanation:

Given

Population = 50,000

Total Sample = 25

18 favoured opening a new shopping centre

Required

Likely number of people to vote in favor of the new shopping center.

First, we need to represent the sample in proportion.

Let p represent the proportion

Since 18 out of 25 are in support of opening a new center,

p = 18/25

Having solved for the proportion,the next step is to calculate the expected number of people.

This is calculated by multiplying p by the total population.

Given that population = 50,000

The expected outcome = 18/25 * 50,000

Expected outcome = 18 * 2,000

Expected outcome = 36,000

Hence, 36,000 people are likely to vote in favour of the new shopping centre

Answer:

36,000 voters

Step-by-step explanation:

Here we have a question on proportion

Proportion of voters that favored creating a new shopping center = 18/25

That is the point estimate of voters that favored creating a new shopping center = 18/25

Therefore, among 50,000 voters in Harrisburg the number of voters that are likely to vote in favor of the new shopping center, based on the point estimate of the sample is given by the following expression;

18/25 × 50,000 = 36,000 voters.

Answer:

-422

Step-by-step explanation:

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

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:

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:

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: