What is the length of midsegment XY

Given:

[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]

To find:

The simplified expression.

Solution:

[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]

Apply the fraction rule: [tex]\frac{\frac{y}{z}}{x}=\frac{y}{z \cdot x}[/tex]

[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}=\frac{a^{2}-b^{2}}{a b\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]  ------------ (1)

Let us simplify [tex]\frac{1}{b}-\frac{1}{a}[/tex].

LCM of a and b = ab

Adjacent fraction based on the LCM

[tex]\frac{1}{b}-\frac{1}{a}=\frac{a}{a b}-\frac{b}{a b}[/tex]

         [tex]=\frac{a-b}{a b}[/tex]

Substitute this in equation (1).

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

Common factor ab get canceled.

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

Apply the algebraic formula: [tex]x^{2}-y^{2}=(x+y)(x-y)[/tex]

         [tex]$=\frac{(a+b)(a-b)}{a-b}[/tex]

Cancel the common factor a - b, we get

         [tex]=a+b[/tex]

The simplified expression is a + b.

Answer:

0,1

2,4

3,8

Are all the solutions that apply to the graph

Step-by-step explanation:

Answer:

[tex]k < -8[/tex]

Step-by-step explanation:

Step 1:  Subtract 5 from both sides

[tex]k + 5 < -3[/tex]

[tex]k + 5 - 5 < -3 - 5[/tex]

[tex]k < -8[/tex]

Answer:  [tex]k < -8[/tex]

Answer:

K < -8

Step-by-step explanation:

K + 5 < -3

Subtract 5 from each side

K + 5-5 < -3-5

K < -8

Answer:

9 seconds after the object is launched

Step-by-step explanation:

The function models the height of the object as a function of the time after the object is launched. Therefore h(t) will be zero, and you will solve for t like a normal quadratic equation.

0 = -4t² + 16t + 180

First, you can factor out the -4 from all the terms.

0 = -4(t² - 4t - 45)

Next, factor what is inside the parentheses

0 = -4 (t + 5) (t - 9)

Then you set each of the factors individually to zero and solve

t + 5 = 0 and t - 9 =0

From this we get that time is:

t = -5 and t = 9

Now that time cannot be negative, we figure out that the time is 9 seconds, therefore the object will hit the ground after 9 seconds.

Given:

Perimeter of the figure = 18.6 inches

To find:

The length of n.

Solution:

Perimeter of the figure = 18.6 inches

Perimeter = Sum of the sides

3 + 6.3 + 4.5 + n = 18.6

13.8 + n = 18.6

Subtract 13.8 from both sides.

13.8 + n - 13.8 = 18.6 - 13.8

n = 18.6 - 13.8

n = 4.8

The length of n is 4.8 inch.

Answer:

0.039

Step-by-step explanation:

There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165

The z score is used to show 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 150 and a standard deviation of 8.5. Hence:

For x > 165

z = (165 - 150)/8.5 = 1.76

P(z > 1.76) = 1 - P(z < 1.76) = 1 - 0.9606 = 0.0394

There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165

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Answer:

If we use the variable l for length, then the width is l + 10.

A key phrase is “same perimeter.”

A key word is “equal” when referring to the length of the two shapes.

Step-by-step explanation:

i did the problem on online school

An equation to represent the given situation is 4x+20=5x+50.

Given that, a regular pentagon and a rectangle have the same perimeter.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the length of a rectangle be x.

Then, the width of the rectangle is 10 more than its length be x+10.

The length of the rectangle and the side of the pentagon are equal.

So, the side of the pentagon = x+10

Now, the equation is 2(x+x+10)=5(x+10)

⇒ 2(2x+10)=5(x+10)

⇒ 4x+20=5x+50

Therefore, an equation to represent the given situation is 4x+20=5x+50.

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Answer:

343 cubic inches

Answer:

V=343

Step-by-step explanation:

The formula for surface area is SA=6s^2. The formula for volume is V=s^3. Plugging in the surface area and solving for s in the first one gives you s=✓(294/6). This results in a value of 7 for the s or side length. Cubing this gives you the volume.

V=7^3

V=343

Answer:

>

Step-by-step explanation:

I had this question once sorry i'm late but -1/4) -2/5 = 1/10 , - 5/6 ÷1/8 = -6 and a fraction I keep forgetting so( -1/4) -2/5  > - 5/6 ÷1/8 )

Answer:

2.83

Step-by-step explanation:

this is the approach i would take to solve this;

take the amount of money the almonds are and divide how many grams that would consist of

23.41 / 825 =

0.02837576 this is the price for 1 gram of almonds.

take this number and multiply by 100 to find how much 100g would cost.

0.0283 * 100 = 2.83

the price of 100 grams is 2.83

i hope this helped you!

:)

The price per 100 grams of almonds is 2.837 when dividing the total cost of 23.41 by the weight of 825 grams and then multiplying the result by 100.

To find the price per 100 grams of almonds, we will first need to calculate the cost per gram and then multiply it by 100 to get the cost for 100 grams. Here is how you can do it:

Let's calculate it step-by-step:

Therefore, the price per 100 grams of almonds is 2.837.

Answer:

44/1/2

Step-by-step explanation:

Answer:31.42

Step-by-step explanation:First you need to find the radius of the circle,so you know the radius is half of the diameter,so you take the radius(2) and multiplys by the pi which is 3.14 the formula is r^ x π

Answer:

31.4 in^2

Explanation:

The Formula for finding circumference is π*d (d=Diameter) or in this case 3.14*d. all you have to do is plug in 10 into the formula and get 3.14*10= 31.4 in^2

Answer:

55440 different arrangements

Step-by-step explanation:

The answer is:

11 x 10 x 9 x 8 x 7

Which is equal to 55440 different arrangements

Support me by marking my answer as brainiest

Mac can create 55,440 different arrangements by using 5 out of his 11 pictures, calculated using the permutation formula P(11, 5).

The question asks how many different arrangements Mac can make using 5 out of 11 different pictures. To calculate this, we use the concept of permutations which is given by the formula P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.

In this case, Mac has 11 pictures (n = 11) and wants to arrange 5 of them (r = 5). Thus, the number of arrangements (permutations) can be found by the calculation: P(11, 5) = 11! / (11-5)! = 11! / 6!, which equals 11 x 10 x 9 x 8 x 7 = 55,440 different arrangements.

Answer:true

Step-by-step explanation:if there are more than one arrow coming from the x value which is the one to the left then it would be false .It doesn't matter if there are multiple arrow on the y values tho. Which is the one to the right.

Answer:

210 cents or $2.10

Step-by-step explanation:

30 x 7 = 210

Answer:B

Step-by-step explanation:

Answer: B on edg 2020

Step-by-step explanation:

Answer:

d - c = -10y^2 -y -10

Step-by-step explanation:

-7y^2 - 3y^2 = - 10y^2

3y- 4y = -1y or -y

-6 - 4 = -10

Answer:

-10y^2 - y - 10

Step-by-step explanation:

First put them in order:

(-7y^2+3y-6)-(3y^2+4y+4)

Then distribute the negative to the second set of parentheses:

-7y^2+3y-6-3y^2-4y-4

Then simplify leaving you with the answer

-10y^2 - y - 10

5x + 3 - 4x = 0

x + 3 = 0

x = -3

Hope this helps :)

Answer:

parallelogram

Step-by-step explanation:

Answer:

So, the GCF of 12x^5 and 8x^3 is 4x^3.

Step-by-step explanation:

To find the greatest common factor (GCF) of 12x^5 and 8x^3, you can break down each term into its prime factors and then identify the common factors:

12x^5 = 2^2 * 3 * x^5

8x^3 = 2^3 * x^3

Now, identify the common factors is this :

The common factor of 2^2 (4) and 2^3 (8) is 2^2 (4).

The common factor of x^5 and x^3 is x^3.

So, the GCF of 12x^5 and 8x^3 is 4x^3.

The GCF of 12x^5 and 8x^3 is 4x^3.

The GCF (Greatest Common Factor) of 12x^5 and 8x^3 can be found by factoring out the common factors of the two terms. In this case, the common factor between the two terms is 4x^3.

To find the GCF, we need to find the highest power of x that can be divided into both terms: 12x^5 and 8x^3. Since 4x^3 is the highest power of x that can be divided into both terms, it is the GCF.

Therefore, the GCF of 12x^5 and 8x^3 is 4x^3.

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Answer:

it is a 3/6% chance to get an even and it is also depends on your luck

Step-by-step explanation:

Answer:

9, -2

Step-by-step explanation:

right on edg 2020

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

[tex]V=\pi r^2h[/tex]

Substitute the given values.

[tex]48=\pi r^2r[/tex]   (since r = h)

[tex]48=\pi r^3[/tex]

[tex]48=3.14 \times r^3[/tex]

Divide by 3.14 on both sides.

[tex]$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}[/tex]

[tex]$15.28=r^3[/tex]

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

[tex]$V=\frac{4}{3} \pi r^3[/tex]

[tex]$V=\frac{4}{3} \times 3.14 \times (2.48)^3[/tex]

[tex]V=63.85[/tex]

The volume of the sphere is 63.85 cm³.

Answer:

cant get an exact answer this is the best ur gonna get 3.675e+17

Step-by-step explanation:

Answer:

None of these solutions

Step-by-step explanation:

Substitute the values for x and y into the equation and see if they work out:

2(1)+3(4)=8

14 is not equal to 8, so (1,4) is not a solution.

2(1)+3(-4)=8

-10 is not equal to 8, so (1, -4) is not a solution.

2(4)+3(1)=8

11 is not equal to 8, so (4,1) is not a solution.

You repeated the first option as the last one but with a period instead for some reason, perhaps a typo?

Hope this will help u...

Answer:

21

Step-by-step explanation:

69+21=420

Answer:

2412 mm³

Step-by-step explanation:

It's two rectangular prisms.

Let's start with the formula for volume --> V = Bh

Top prism

V = Bh

V = (13*12)(12)

V = (156)(12)

V = 1872 mm³

Bottom prism

V = Bh

V = (15*12)(3)

V = (180)(3)

V = 540 mm³

Now add them both together and you get 540 + 1872 = 2412 mm³

The volume of the composite figure shown below is,

⇒ 2412 mm³

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

Two rectangular prisms are shown.

Since, The formula for volume of Cuboid is,

⇒ V = Bh

Hence, For Top prism;

V = Bh

V = (13×12)(12)

V = (156)(12)

V = 1872 mm³

And. For Bottom prism;

V = Bh

V = (15×12)(3)

V = (180)(3)

V = 540 mm³

Thus,  The volume of the composite figure shown below is,

⇒ 540 + 1872 = 2412 mm³

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