Which expression represents the fourth term in the binomial expansion of (e 2f)10?

Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

The measure of  angles are:

∠f = ∠135

∠e = ∠135

∠b = ∠135

∠c = ∠135

∠d = ∠135

∠a = ∠135

∠g = ∠135

What are transversal lines ?

In geometry, a transversal is any line that intersects two straight lines at distinct points

Corresponding Angles

The following pairs of angles are corresponding angles:

∠135 and ∠e

∠a and ∠d

∠c and ∠g

∠b and ∠f

Alternate Interior Angles

The following pairs of angles are alternate interior angles:

∠c and ∠d

∠b and ∠e

Alternate Exterior Angles

The following pairs of angles are alternate exterior angles:

∠135 and ∠f

∠a and ∠g

Co-interior Angles

The following pairs of angles are co-interior angles:

∠c and ∠e

∠b and ∠d

The angles are:

∠f = ∠135

∠e = ∠135

∠b = ∠135

∠c = ∠135

∠d = ∠135

∠a = ∠135

∠g = ∠135

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9514 1404 393

Answer:

  -6

Step-by-step explanation:

Multiply the second equation by 2 and add 6x. You get ...

  -6x +y = -6

  y = 6x -6

This is the same as the first equation when b = -6. That is what you want if you want infinite solutions.

Answer: 2x^2+4x+2

Step-by-step explanation:

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

Answer:

1,011.24 dollars

Step-by-step explanation:

900x1.06^2. 60 days is 2 months. A rate is in months.

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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Explanation:

AB || DC means we know that angle ABD = angle CDB. They are alternate interior angles. This is shown as the red angle markers in the diagram below.

Similarly, AD || BC leads to angle DBC = angle BDA. They are also alternate interior angles and they are marked in green in the diagram below.

So far we have two pairs of congruent angles.

The pair of congruent sides is BD = BD by the reflexive property. Any segment is congruent to itself.

So we can use ASA to prove the triangles congruent. Note the segment BD is between the angles mentioned.

Answer:

- 5/2

Step-by-step explanation:

If the slope of a line is m then the slope of the perpendicular line is -1/m

The slope of y = 2/5 x is 2/5

Slope of perpendicular line = - 5/2

In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.

Using this information, we can set up equations to solve for the variables.

From the given information, we have -

AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)

BE = x + 2

DE = BE = (x + 2) = g (since diagonals bisect each other at point E)

We also know that opposite sides of a parallelogram are parallel.

Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -

10/1 = 2y/1

10 = 2y

y = 5

Now we can use equation (1) to solve for x -

2x - 5 = 5x - 17

12 = 3x

x = 4

Finally, we can use x to solve for g -

(x + 2) = g

(4 + 2) = g

g = 6

Therefore, the values of x, y, and g are 4, 5, and 6, respectively.

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The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Therefore, the average rate of change of ƒ(x) = 2x + 10 over the interval 2 ≤ x ≤ 4 is 4.

In mathematics, a function is a relationship between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. It is a rule or a set of rules that assigns each input value exactly one output value. Functions can be represented using equations, graphs, or tables. They are used to model real-world phenomena and solve problems in various fields such as science, engineering, economics, and finance.

Here,

To find the average rate of change of a function over an interval, we need to calculate the change in the function's value over the interval, and then divide that by the length of the interval. In this case, the function is ƒ(x) = 2x + 10, and the interval is 2 ≤ x ≤ 4. To find the change in the function's value over this interval, we need to evaluate the function at the endpoints of the interval and subtract the results:

ƒ(4) - ƒ(2) = (2(4) + 10) - (2(2) + 10) = 8

So the change in the function's value over the interval is 8. To find the length of the interval, we subtract the endpoints:

4 - 2 = 2

So the length of the interval is 2. Finally, we divide the change in the function's value by the length of the interval to get the average rate of change:

8 / 2 = 4

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Answer:

Step-by-step explanation:

So if a baseball weighs 25.75 ounces less than the bat and it says what is the relationship between the ball and the bat so if the baseball weighs less than the bat then that would be 25.75<B=W I believe

6 inches will be the length of the patio.

According to the scale, 1 inch on the plan corresponds to 3.5 feet in real life.

We must convert the patio's real length of 21 feet to inches using the scale in order to determine how long it would look on the blueprint:

3.5 feet to one inch

21 feet in x inches

If we cross-multiply, we obtain:

1 inch/3.5 feet * 21 feet

= x inches

= 6 inches.

As a result, the length of the patio will be indicated on the blueprint as 6 inches.

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Answer:

I believe that the answer is B.

Step-by-step explanation:

You can automatically elleminate A bc blue is not larger that red so it is down to C and D. C and D is to small of a percentage bc it would more than likely be one of the smaller numbers on there but red is the largest number in the chart.

So that is why my answer is B.

The weight of the boy in the robot costume is 351/8 lb or 43 7/8 lb.

To find the weight of the boy, we need to subtract the weight of the costume from the total weight of the boy in the costume.

Total weight of boy and costume = 50 7/8 lb

Weight of costume = 3 1/2 lb

To find the weight of the boy, we can subtract the weight of the costume from the total weight:

Weight of boy = Total weight - Weight of costume

Convert both the total weight and the weight of the costume to improper fractions:

Total weight = 50 + 7/8 = 400/8 + 7/8 = 407/8 lb

Weight of costume = 3 + 1/2 = 6/2 + 1/2 = 7/2 lb

Now, subtract:

Weight of boy = (407/8) lb - (7/2) lb

To perform subtraction, we need to have a common denominator, which is 8 in this case:

Weight of boy = (407/8) lb - (56/8) lb

Now, subtract the fractions:

Weight of boy = (407 - 56)/8 lb

Weight of boy = 351/8 lb

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Answer:

10 : 2 = 5

80 : 4 = 20

20 - 5 = 15

20 + 5 = 25

P = 25

l = 15

around = 25 + 25 + 15 + 15 = 50 + 30 = 80

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Step-by-step explanation:

Dxwexd el fque también puedo

b equal for the top of the bookcase to have the correct area= 5 cm2

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

L × b = 300

b = 300 / L

b = 300 / 60 = 5

Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.

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Answer:

19.5

Step-by-step explanation:

9 * 13 = 117, 2b = 6, so 117/6 = 19.5

The distance from Maria's desk to Monique's desk is  \(2\sqrt{13}\)

Given,

In the question:

Maria's desk is located at (2, −1), and Monique's desk is located at (−2, 5).

To find the  distance from Maria's desk to Monique's desk.

Now, According to the question:

We know that :

The formula of Distance:

\(\sqrt{(x_{2} -x_{1} )^2+(y_{2}-y_{1} )^2}\)

Substitute (2, -1) and (-2, 5) into distance formula:

\(\sqrt{(-2-2)^2+(5+1)^2}\)

Calculate:

\(\sqrt{(-4)^2+(6)^2}\)

\(\sqrt{16+36}\\ \\\sqrt{52}\)

= \(2\sqrt{13}\)

Hence, The distance from Maria's desk to Monique's desk is  \(2\sqrt{13}\)

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Answer: square root of 52

Step-by-step explanation:

did the practice test

The place value of the decimal is the hundredth's place.

Answer:

The place value is the tenths.

Step-by-step explanation:

2.45: Tenths

2.045: Hundreths

2.0045: Thousandths

The weight of the male that has a body surface area of 2.3 would be = 108kg

The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.

The formula for BSA = √w×h/3600

The weight of the male = X

The height of the male = 176cm

The BSA = 2.3

From the formula, make w the subject of formula;

w = BSA²× 3600/h

w = 2.3²× 3600/176

w= 5.29×3600 /176

w = 19044/176

w = 108kg

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To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

square root of 625 is 25.

Step-by-step explanation:

Use the Pythagorean Theorem to find the hypotenuse.

a² + b² = c²    where a and b are the sides and c is the hypotenuse

20² + 15² = c²

400 + 225 = c²

625 = c²