the coefficients corresponding to k=0,1,2….,5 in the expansion of (x+y)^5 are

Answer:

the dimensions of the rectangle are 34cm and 15cm

Step-by-step explanation:

proof:

p= (2 × 34) + (2 × 15)

=68 + 30

= 98

hope this helps!!

Answer: 34x15

Step-by-step explanation:

A rectangle

Knowing the properties of a rectangle, the opposite sides are equal and parallel.

Determine formula

Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]

Solve for X

Side 1:

[tex]((2(3x-1))*2)[/tex]

[tex]((6x-2)*2)[/tex]

[tex](12x-4)[/tex] simplified

Side 2:

[tex]((2x+3)*2)[/tex]

[tex](4x+6)[/tex] simplified

Solve:

[tex](12x-4) + (4x+6) = 98[/tex]

[tex]16x+2=98[/tex]

[tex]16x=96[/tex]

[tex]\frac{16x}{16} = \frac{96}{16}[/tex]

[tex]x = 6[/tex]

Substitute x

[tex]2(3(6)-1) = 34[/tex]

[tex](2(6)+3) = 15[/tex]

The dimensions of this rectangle are 34x15.

Answer:

I think you just have to multiply 0.75 and 1.8 then divided with 1.62.

Step-by-step explanation:

0.75*1.8=a

1.62/a= answer?

Answer:

the answer in 1.2 i just took the unit test on K12

25÷5=5 if five dot is throw in the air the probability of five seeing on the dot will be slim

The correct answers: tan 120= -√3.

The correct answer is (E)

Angles are the angles between  bisecting lines or surfaces at or near their meeting point.

Given : [tex]\theta\\[/tex] = 2π/3

               = 2*180/3= 120

So, First and the fourth statement is not correct.

and, cos 120= -1/2

sin 120= √3/2

So, B and D statement is also wrong

tan 120= -√3.

Hence, the only correct statement is tan 120= -√3.

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Answer:

Step-by-step explanation:

Answer:

a=99

Step-by-step explanation:

First, let's subtract 136 from 180. We get 44, which means that the angle of the other side is 44 degrees.

180-136=44

Next, let's subtract 125 from 180. 180-125 = 55. This means the other angle next to 125 degrees is 55 degrees.

180-125=55

We know that the sum of a triangle's angles is = 180 degrees

We can find the last angle of the triangle by adding 44 & 55, and then subtracting that sum from 180 (the total sum).

44+55=99

180-99=81

For our last and final step, let's subtract 81 from 180 to find the angle NEXT to 81 (a).

180-81=99

a = 99 degrees

Hope this helped :) If you have any questions, don't be afraid to comment!

Answer:

Answer:

B, 6 miles per hour

Step-by-step explanation:

1. 4/3 of a mile in 4/18 of an hour, rewrite as (4/3 / 4/18)

2. Dividing fractions is multiplying by the reciprocal, so (4/3 * 18/4)

3. (4/3 * 18/4 = 72/12)

4. 72/12 can be simplified to 6/1 or 6.

5. Answer is B, 6 miles per hour

First one is B second one is B last one is C

Using translation concepts, it is found that the scale factor of the dilation is of 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, considering point D and it's image, the following translation happened:

(12, -4) -> (36, -12).

In general terms, we have that:

(x,y) -> (3x, 3y).

Hence the scale factor is of 3.

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An expression is defined as a set of numbers, variables, and mathematical operations. The algebraic expression that can represent the product of W and 9 is 9W.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The phrase "the product of W and 9" in the form of an algebraic expression can be written as,

Expression = 9 × W = 9W

Hence, the algebraic expression that can represent the product of W and 9 is 9W.

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Answer:

Jake

Step-by-step explanation:

Answer:

by 3% percent

Step-by-step explanation:

i hope this helps ._.

So in January he could do 12 pushups..
4 months later, he could do 3 more..
A total of 15 in 4 months would make a 25% increase with 6.25% every month as 3 pushups represent 1/4 of the 12 he used to do

Answer:

1220

Step-by-step explanation:
This can easily be done as follows,
Take the first term of the series, (a = -10)
Take the last term of the series, (l = 50)
The numbers of terms is n = 50+10+1 = 61
Now,
For sum,
S= n/2 (a+l) =60/2 (50+-10) = 61/2 (50-10) = 61/2*40 = 1220

Work Shown:

3050+6 = 3056

If you wanted the min height allowed, then you'd compute 3050-6

Note: 3050 mm = 10 feet approximately

Answer:

y = -8 - 1/2x

Step-by-step explanation:

Answer:

It's 8 yuan per hour in company A and 9 yuan per hour in company B

Answer:

Step-by-step explanation:

Problem 1

Start with 360

⇒ 360

Increase by 15%

⇒ 360 (1 + 15%)

⇒ 360 (1 + 0.15)

⇒ 360 (1.15)

⇒ 414

Problem 2

Start with 480

⇒ 480

Decrease by 10%

⇒ 480 (1 - 10%)

⇒ 480 (1 - 0.1)

⇒ 480 (0.9)

⇒ 432

If the point (30, 75) satisfies the equation, then the point will lie on the line. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The point (2,5) is represented on the graph.

Then the equation of the line passing through (2, 5) and the origin will be given as

y - 0 = [(5 - 0) / (2 - 0)] (x - 0)

    y = 5/2 x

 2y = 5x

If the point (30, 75) satisfies the equation, then the point will lie on the line.

2 × 75 = 5 × 30

   150 = 150

The graph is given below.

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Answer:

I have attached a screenshot below with the answers written down!

Step-by-step explanation:

[tex]5*3=15[/tex]

[tex]15*3=45[/tex]

Next                                                                                                                        

[tex]20*\frac{1}{2}=10[/tex]

[tex]10*\frac{1}{2}=5[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope this helps!

Have a great day!

:)

Answer:

Our goal is to find the total weight which we can do by just adding up our weights.  We have 6.7 kg of apples and we have 3.1 kg of melon so we just add those up together and we get 9.8 kg.

Hope this helps!  Let me know if you have any questions

Answer:

The answer is 3 or x<3.

Answer: I’ll edit this when I get the photo.

Step-by-step explanation:

The statement is true because the arcsin function is defined to be the inverse of the sin function.

For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:

f(g(x)) = x

g(f(x)) = x

Now, particularly for the sin function, arcsin is defined as the inverse function.

Then by definition, arcsin must meet the conditions:

So the answer is true for the definition of the arcsin function.

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Answer:

c

Step-by-step explanation:

Step 1

Solve 3x-y=-63x−y=−6 for yy.

y=6+3xy=6+3x

Step 2

Substitute 6+3x6+3x for yy in the second and third equation.

2\left(6+3x\right)-5z=-52(6+3x)−5z=−5 x-\left(6+3x\right)-2z=-4x−(6+3x)−2z=−4

Step 3

Solve these equations for xx and zz respectively.

x=-\frac{17}{6}+\frac{5}{6}zx=−

6

17

+

6

5

z z=-1-xz=−1−x

Step 4

Substitute -\frac{17}{6}+\frac{5}{6}z−

6

17

+

6

5

z for xx in the equation z=-1-xz=−1−x.

z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−

6

17

+

6

5

z)

Step 5

Solve z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−

6

17

+

6

5

z) for zz.

z=1z=1

Step 6

Substitute 11 for zz in the equation x=-\frac{17}{6}+\frac{5}{6}zx=−

6

17

+

6

5

z.

x=-\frac{17}{6}+\frac{5}{6}\times 1x=−

6

17

+

6

5

×1

Step 7

Calculate xx from x=-\frac{17}{6}+\frac{5}{6}\times 1x=−

6

17

+

6

5

×1.

x=-2x=−2

Step 8

Substitute -2−2 for xx in the equation y=6+3xy=6+3x.

y=6+3\left(-2\right)y=6+3(−2)

Step 9

Calculate yy from y=6+3\left(-2\right)y=6+3(−2).

y=0y=0

Step 10

The system is now solved.

x=-2x=−2 y=0y=0 z=1z=1

Solution

x=-2x=−2

y=0y=0

z=1z=1

Answer:

x = 0.5

y = 1.5

Step-by-step explanation:

For futer reference, the easiest way to figure this out is by going to Desmos Graphing Calculator, entering both of the equations, and seing where the lines intersect. This helped me so much when I was learning this. Hope this helped!

Answer:

The solution of the system of equations is (x,y) = (1/2,3/2).

Step-by-step explanation:

Answer:

[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]

Step-by-step explanation:

the slope of the line AC :

[tex]\frac{6-1}{1-2} = \frac{5}{-1} =-5[/tex]

Let y : mx + p be the equation of the line D passing through B and perpendicular to AC.

Where m is the slope and p is the y value of the y intercept point.

The line D is perpendicular to AC means the product of their slopes is −1

Therefore

(−5) × m = −1

Then

[tex]m=\frac{-1}{-5} =\frac{1}{5}[/tex]

We obtain, the equation of D is :

[tex]y : \frac{1}{5} x + p[/tex]

At this point ,we still need the value of p to get the full equation of D.

B(3, 3)∈ D

[tex]3=\frac{1}{5} \left( 3\right) +p[/tex]

[tex]\Longleftrightarrow p=3-\frac{3}{5} =\frac{12}{5} =2.4[/tex]

thus , the equation of D is :

[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]

Yes it's possible through matrix

Let's find out the area formula for our vertices

That's

[tex]\\ \rm\Rrightarrow \left|\begin{array}{ccc}\rm 2&\rm 1&\rm 1\\ \rm 3&\rm 3&\rm 1\\ \rm 1&\rm 6&\rm 1\end{array}\right|[/tex]

The determinant values modulus is the area

Slope of AC

Perpendicular lines have slopes negative reciprocal to each other

So

Equation in point slope