Find the third side in simplest radical form:

Answer:

I believe the answer is (x+3)(x-3)(x-4)(x-1)

Step-by-step explanation:

Notice both terms are perfect squares, therefore you can factor using the difference of squares formula:

(x²-9)(x²-5x+4)

For the first term, we get (x+3)(x-3) because x²-9 is a perfect square.

For the second term, we get (x-4)(x-1) because x²-5x+4 is a perfect square trinomial.

If you have any further questions about this problem, you can comment them down below and I'll try to answer them.

Answer:the length of a soccer field

PLZ GIVE ME BRAINLIEST

C.

Step-by-step explanation:

Answer:

A)

x + 7 < 5

Shows inequality

The correct inequality that represents the solutions on the given number line is C) [tex]\( x - 5 > 2 \).[/tex]

To find the correct inequality, we need to determine which one corresponds to the shaded portion of the number line. The shaded portion indicates the set of all [tex]\( x \)[/tex] values that satisfy the inequality.

Let's analyze each option:

A) [tex]\( x + 7 \leq 5 \)[/tex]

If we solve this inequality, we get:

[tex]\( x \leq 5 - 7 \)[/tex]

[tex]\( x \leq -2 \)[/tex]

This inequality would be represented by a number line shaded to the left of -2, including -2 itself. This does not match the given number line, which is shaded to the right of a point.

B) [tex]\( x + 3 \geq 1 \)[/tex]

Solving this inequality, we get:

[tex]\( x \geq 1 - 3 \)[/tex]

[tex]\( x \geq -2 \)[/tex]

This inequality would be represented by a number line shaded to the right of -2, including -2 itself. However, the inequality sign in the question is non-inclusive, which means -2 itself should not be shaded. This does not match the given number line, which has a shaded circle at the starting point of the shaded region, indicating inclusivity.

C) [tex]\( x - 5 > 2 \)[/tex]

Solving this inequality, we get:

[tex]\( x > 2 + 5 \)[/tex]

[tex]\( x > 7 \)[/tex]

This inequality would be represented by a number line shaded to the right of 7, not including 7 itself. This matches the given number line, which shows the shaded region starting just to the right of 7 (indicated by an open circle at 7).

D) [tex]\( x - 1 \leq 1 \)[/tex]

Solving this inequality, we get:

[tex]\( x \leq 1 + 1 \)[/tex]

[tex]\( x \leq 2 \)[/tex]

This inequality would be represented by a number line shaded to the left of 2, including 2 itself. This does not match the given number line, which is shaded to the right of a point and has an open circle at the starting point of the shaded region.

Therefore, the correct answer is C)[tex]\( x - 5 > 2 \)[/tex], as it accurately describes the shaded region on the given number line.

Answer:

$3.16

Step-by-step explanation:

$2.95 + 7%= 3.1565

by rounding up you get $3.16.

Answer:

$3.16

Step-by-step explanation:

To find the total, find how much the tax is.  Multiply the price of the notebook by the percentage the tax is.

$2.95 × 0.07 = $0.21

Add the value of tax with the price of the book.

$2.95 + $0.21 = $3.16

You can also solve this problem by multiplying the price of the notebook by the percentage of the tax plus one.

$2.95 × 1.07 = $3.16

Answer:

Step-by-step explanation:

Answer:

29,600 feet cubed

Step-by-step explanation:

The surface area is 3700 square feet.

The house is 8 feet tall.

Simply, you just have to multiply 3700 * 8.

Answer:

$2,092.5 with $292.5 in interest.

Step-by-step explanation:

30 divided by 12 (to find the years/leftover months) [do this as an improper fraction to be a little simpler] 30/12 = 2 6/12 or 2 years 6 months

6.5% of 1800 is 117

117y = 117(2.5) = 292.5 [this is the interest]

1800 + 292.5 = 2,092.5

Answer:

THIS IS CORRECT I JUST ANSWERED

Step-by-step explanation:

Interest earned: $292.50

Balance: $2092.50

Answer:

9

Step-by-step explanation:

a triangle is bacicly half of a rectangle so 3 x 6 is 18 but since it's just half, you divide by 2 and you get 9!

Step-by-step explanation:

Phytagoras Theorem :

c² = a² + b²

c² = 3² + 6²

c² = 9 + 36

c² = 45

c = √45

So, the exact length og the third side is √45

Hope it helpful and useful :)

Answer:

$56

Step-by-step explanation:

35 percent *160 =

(35:100)*160 =

(35*160):100 =

5600:100 = 56

Answer:

$56.

Step-by-step explanation:

Since it is 35% off, we can simply take 35% of the original price:

160 × 0.35 = $56.

Answer:

the answer is 6

Step-by-step explanation:

By pytagoras Theorem

hope its helpful

Answer:

Answer is B. 9.3

Step-by-step explanation:

I took the test

There is a probability of 9.3% that the normal distribution data value is between 27 and 28

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that:

mean of 26 and a standard deviation of 4, For:

For x = 27:

z = (27 - 26) / 4 = 0.25

For x = 28:

z = (28 - 26) / 4 = 0.5

P(0.25 < z < 0.5) = P(z < 0.5) - P(z < 0.25) = 0.6915 - 0.5987 = 0.093

There is a probability of 9.3% that the normal distribution data value is between 27 and 28

Find out more on z score at: https://brainly.com/question/25638875

Answer:

MAYBE Italian tuna tomatoes and american cheese

Step-by-step explanation:

Answer:

V=250(2d)

Step-by-step explanation:

The equation representing the value of a bond doubling every decade is

V = 2d(250).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A bond is initially bought for $250 and it doubles in value every decade.

Let, 'v' be the value of the bond at any given time and 'd' be the number of decades.

Therefore, The equation that represents this situation is,

V = 2d(250).

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ3

Answer:

a) 72 cm2 (centimeter square)

b) 9 cm2 (centimeter square)

c) 9 cm2 (centimeter square)

d) 54 cm2 (centimeter square)

Step-by-step explanation:

a) the area of the rectangle = Base x Height

= 12 x 6

= 72 cm2 (centimeter square)

b) the area of the triangle A = 1/2 x Base x Height

= 1/2 x 3 x 6

= 9 cm2 (centimeter square)

c) the area of the triangle B = 1/2 x Base x Height

= 1/2 x 3 x 6

= 9 cm2 (centimeter square)

d) area of the parallelogram = area of the rectangle - area of triangle A - Area of triangle B

= 72 - 9 - 9

= 54 cm2 (centimeter square)

Answer:

The Dryer cost is 450

Step-by-step explanation:

The washer cost $450. and together they have the cost is 787.

A washer and a dryer cost $809 combined.

Let the dryer cost x.

Then, the washer costs (x-91)

Together, they cost  (x) + (x-91) =809

        2x+91 = 809

We have to solve this equation

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

           2x = 718   .......          [subtract 97 from both sides]

            x = 359    .......         [divide both sides by 2]

The dryer cost $359.

Therefore, the washer cost $450.

Together, they cost,

450+359=$787

The washer cost $450. and together they have the cost is 787.

To learn more about the cost visit:

https://brainly.com/question/25109150

Answer:

(-11, -4)

Step-by-step explanation:

this is the answer

Answer:

x²y²+xy²+3+xy+2y²

Step-by-step explanation:

(2x²y²+x²y+xy²+3)-(x²y²+x²y²+x²y-xy-2y²)

1. remove the parentheses (when there’s - in front of an expression  in parentheses  change the sign of each term of the expression)

2x²y² + x²y + xy² + 3-x²y² - x²y² - x²y + xy - 2y²

2. eliminate the opposites

2x²y² + xy² + 3 -x²y² + xy +2y²

3. collect like terms

x²y² + xy² + 3 + xy + 2y²

Answer:

6 x 8 = 45 cans of cat food

4 x 2 = 8 cans of cat food

45 - 8 = 37

Sophie has 37 more cans of cat food than she does of dog food

Step-by-step explanation:

Answer:

The Answer would be 288 minutes

Step-by-step explanation:

So we have 9 people working to install a security system in an office building. they take about 96 minutes.

Today we have 3 people doing the same job.

yesterday we had 9 people doing the same job

so we would multiply 96 minutes by 3 because we divided the amount of people by 3

96x3= 288

3 people takes 288 minutes to do the same job.

To complete the installation of a security system that normally takes 9 people 96 minutes, three people would require 288 minutes given each person works at the same rate and the work is additive.

When a company usually sends 9 people to install a security system in 96 minutes, and today only has three people available for the same task, we need to calculate the expected time for completion. First, we assume that each person works at the same rate. With 9 people, it takes 96 minutes, so with one person, it would take 9 times longer, since the number of workers is inversely proportional to the time needed.

So, one person would take 9 × 96 = 864 minutes to do the job alone. Therefore, three people would take 864 ÷ 3 = 288 minutes to complete the installation of the security system.

This calculation is based on the assumption that the work done by each individual is additive and that they are working on the task continuously and independently without interruption.

Answer:

151 mi

Step-by-step explanation:

Considering the question given, the distance we are trying to obtain is the distance between Raleigh and Norfolk.

Steps on how to obtain the distance travel by the pilot is given in the attached photo.

Answer:

d) [tex]y=-\frac{1}{2} (x-3)^{2} -4[/tex]

Step-by-step explanation:

When you reflect an equation the slope is the opposite (if the slope is positive it'll be negative when reflected)

The slope is [tex]\frac{1}{2}[/tex] and when it is reflected it is [tex]-\frac{1}{2}[/tex]

When you shift something to the right you add [tex](x-3)^{2}[/tex]

Answer:

obtuse, scalene

Step-by-step explanation:

Answer:

obtuse, scalene

Step-by-step explanation:

I did the quiz

61.25MPH

55*15+65*25=2450

2450/40=61.25MPH

ANSWER IS 61.25 MPH

Answer:

The answer is A. 26

Step-by-step explanation:

26 is the only answer that makes sense becuase it is the only one less that 27. The answer is written as 26>27. All tho anwers dont make sense because they are less than 27.

PLUS I TOOK THE TEST

Answer:

(a)6 Equilateral Triangles.

(b)30-60-90 triangle.

(c)See Attached Triangle in Figure 2

(d)Length of the short leg = 2cm.

(e)Length of the hypotenuse= 4cm.

(f)Length of the long leg=[tex]2\sqrt{3}cm[/tex]

(g)Apothem.

(h)Height of the Equilateral triangle=[tex]2\sqrt{3}cm[/tex]

(i)Area of One Equilateral triangle =[tex]4\sqrt{3}cm^2[/tex]

(j)Area of Hexagon =[tex]=24\sqrt{3}\:cm^2[/tex]

Step-by-step explanation:

(a)From Figure 1, there are 6 Equilateral Triangles.

(b)If we cut an equilateral down the middle (green line), we create a 30-60-90 triangle.

(c)Triangle Attached in Figure 2.

(d)The length of the short leg of one of the 30-60-90 triangle is 2cm.

(e)The length of the hypotenuse of one of the 30-60-90 triangle is 4cm.

(f)Length of the long leg

We use Pythagoras Theorem to find the length of the long leg of the right triangle.

[tex]4^2=2^2+l^2\\l^2=4^2-2^2=12\\l=\sqrt{12}=2\sqrt{3}cm[/tex]

(g)The vocabulary word for the long side of the 30-60-90 called in the polygon (green line) is Apothem.

It is line segment from the center to the midpoint of one of the sides of a polygon.

(h)Height of the Equilateral Triangle=[tex]2\sqrt{3}cm[/tex]

(i)Area of One Equilateral triangle

Base =4 cm, Height =[tex]2\sqrt{3}cm[/tex]

Area=0.5X4X[tex]2\sqrt{3}cm[/tex]

=[tex]4\sqrt{3}\:cm^2[/tex]

(j)Area of Hexagon =Area of One Equilateral Triangle X 6

[tex]=6X 4\sqrt{3}\\=24\sqrt{3}\:cm^2[/tex]

Answer:

c = 11.3 yards

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here A = 416.955, h = 20.9, a = 28.6 and b = c, thus

[tex]\frac{1}{2}[/tex] × 20.9 × (28.6 + c) = 416.955, that is

10.45(28.6 + c) = 416.955 ( divide both sides by 10.45 )

28.6 + c = 39.9 ( subtract 28.6 from both sides )

c = 11.3 yards