5+a2+ab-9c if a=5 b=4c=0

Answer:

Step-by-step explanation:

It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other

The given xy- plane is a parallelogram.

A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.

If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]

Where, d is the distance between two points.

According to the given question

We have a plane figure PSTO

And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.

Now, the length of the sides by distance formula

PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]

PS = [tex]\sqrt{c^{2}+0 }[/tex]

PS = c

Similarly,

ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]

ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]

TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]

TO = [tex]\sqrt{c^{2} }[/tex]

TO = c

And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]

PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]

From the above calculation we found that

PS = TO

PO = ST

⇒ Length of the  opposite sides of the plane figure are equals.

And from the given figure we can see that the opposite sides are also parallel to each other.

Therefore, the given xy- plane is a parallelogram.

Learn more about parallelogram here:

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#SPJ2

Answer:

the 3rd one is not linear

y= x to the 2nd power

Answer:

13640cubicmeter........

Answer:

x = 2

Step-by-step explanation:

First, let's write out our equation:

[tex]2x-4=6-3x[/tex]

I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:

[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]

Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:

[tex]2x + 3x = -3x + 3x + 10[/tex]

And then I'll add like terms:

[tex]5x=10[/tex]

Now, all we have to do is divide both sides by 5:

[tex]5x/5=10/5\\x=2[/tex]

And there's our answer. Hopefully that's helpful! :)

Answer: B

Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.  

The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.

HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.

Now, let's insert our values into the equation y = mx + b. That would be:

y = -2x + 3 which is B and therefore our answer

Answer:

[-5, 5]

Step-by-step explanation:

Answer:

Y=hx+25

Step-by-step explanation:

y=total price paid

h=hourly rate

x=number of hours

25=inital fee

Answer:

n-1, n, n+1

Step-by-step explanation:

n - 1    +   n    +   n +1  = 3n

The middle number is n, the first is n-1 and the third is n+1

Based on the information given, the three consecutive numbers will be n-1, n, and n+1.

It should be noted that consecutive numbers simply mean the numbers that follow themselves in a particular order.

In this case, the three consecutive numbers will be n-1, n, and n+1. Their addition will be:

= n - 1 + n + n + 1

= 3n

Learn more about numbers on:

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The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

Learn more on functions here: https://brainly.com/question/17043948

Answer:

13 yrs old

Step-by-step explanation:

104/8=13

Answer:

14 years ago

Step-by-step explanation:

birthday January 16

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

Step-by-step explanation:

the option with the isoceles triangles can NOT be just of that proof, because nowhere is it defined or proven that there is or are isoceles triangles involved. even though the picture looks like it, but that does not mean anything for the formal proof.

actually, this proof is the same (and is also valid) for non-isoceles triangles.

Answer:

p = - 10

Step-by-step explanation:

I hope this helps. Good luck

Answer:

25% or 1 in 4 chance.

Step-by-step explanation:

The chances for rolling an even number are 3/6, because there are 6 numbers total, and 3 are even.

3/6 can be re-written as 1/2.

The chances of landing tails are also 1/2, because there are 2 sides and tails is one of them.

So then, multiply 1/2 by 1/2 to get 1/4.

Answer:

4 tens

Step-by-step explanation:

3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.

Answer: 3935376

Step-by-step explanation: 3927283+8093

3935376

2(3 + x) = 18 / : 2

3 + x = 9

x = 9 - 3

x = 6

Answer:

x = 6

Step-by-step explanation:

2(3 + x) = 18 ( divide both sides by 2 )

3 + x = 9 ( subtract 3 from both sides )

x = 6

Answer:

$15

Step-by-step explanation:

20-5= 15

Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.

Hope this helps :)

Answer:

Not a because it is only consistant with x not y because it goes 1 2 4 then 6

not b because only consistant with x not y because it goes 1 2 2 2

It is c because it goes 2 4 6 and 8 which is a consistent rate of two.

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

Work Shown:

[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]

This matches with choice C. The imaginary 'i' term is not under the square root.

Answer:

Simple Interest = $542

Compound Interest = $542.88

Step-by-step explanation:

Answer: Bro. Thats not telling us anything

Step-by-step explanation:

Answer:

decreased

Step-by-step explanation:

Answer:

20+10 is 30 5x6 is 30

Step-by-step explanation:

so just add numbers to find 30

Answer:

first number is 17 and second number is 13

Step-by-step explanation:

let the numbers are x and y

if their sum is 30 and difference is 4

then

x+y=30     --------------1equation

x-y=4          -----------2equation

add both the equations,

2x=34

x=17

then  

put the value of x in 1equation,

x+y=30

17+y=30

y=30-17

y=13

then,

first number is 17 and second number is 13

Answer:

-$33

Step-by-step explanation:

KAREN now ows money to the bank

Answer:

y = 12x

Step-by-step explanation:

Note the relationship

x = 3 : y = 36 , that is 36 = 12 × 3

x = 4 : y = 48, that is 48 = 12 × 4

x = 5 : y = 60 , that is 60 = 12 × 5

x = 6 : y = 72 , that is 72 = 12 × 6

The value of y is obtained by multiplying corresponding x value by 12

Then

x = 7 → y = 12 × 7 = 84

in general for any x

y = 12x

Answer:

6w-60x+6

Step-by-step explanation:

6(w-10x+1)

6w+6(-10)+6*1

6w-60x+6

Answer: 6(w-10x+1)

6w+6(-10)+6*1

6w-60x+6

Step-by-step explanation: hope it helps you .Thanks .