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Alik [6]
3 years ago
12

Given: ABCD is a parallelogram.

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Sorry, I am a little late.

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the sum of the digits of a two number is 14 .if 36 is substracted from the number,the places of the digits are reversed.find the
Taya2010 [7]
The number in the ones place= X
The number in the tenths place= y
y+x=14.
y=14-x

Original placement of numbers=10y+x
New placement of numbers(after subtraction of 36)= 10x+y

10y+ x-36=10x+y
Substitute y with 14-x
So we would get

10(14-x)+ x-36=10x+(14-x)
=140-10x+x-36=10x+14-x
After transposing we get
140-14-36=10x-x+10x-x
=90=18x
X=90/18
x=5

Y=14-x
=14-5
=9


So the two digit number is
10y+x
=90+5
=95
5 0
3 years ago
Is a triangle with the given side lengths of 15cm, 17cm, and 19cm a right triangle?
Alexandra [31]
Lets see!
We need to use the pythagorean theorem (a^2+b^2=c^2) to check.
So..
15^2+ 17^2 = 19^2
225+ 289= 361
Hm 225 and 289 do NOT equal 361 therefore it is NOT a right triangle.
3 0
3 years ago
Read 2 more answers
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
7nadin3 [17]

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

In this question:

The profit is given by:

y = -9x^2 + 700x - 6005

Which is a quadratic function with a = -9, b = 700, c = -6005

The maximum profit happens at the x of the vertex. Thus

x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88

Widgets should be sold by $38.88 to maximize the profit.

7 0
2 years ago
Solve for x in both!!!!!
zvonat [6]

Answer:

- 2(x - 2) - 4x = 3(x + 1) - 9x \\  - 2x + 4 - 4x = 3x + 3 - 9x \\ 9x - 3x - 2x - 4x = 3 - 4 \\ 9x - 9x =  - 1 \\ 0x =  - 1 \\ 0 =  - 1

So ; No solution

___o___o____

5(x + 2) - 3 = 3x - 8x + 7 \\ 5x + 10 - 3 =  - 5x + 7 \\ 5x + 7 =  - 5x + 7 \\ 5x + 5x = 7 - 7 \\ 10x = 0 \\  \\ x =  \frac{0}{10}  \\  \\ x = 0

I hope I helped you^_^

4 0
3 years ago
Read 2 more answers
Adam has dimes and quarters in his pocket. there are 28 coins in all, and they are worth $4.60 altogether.how many quarters does
pochemuha
16 dimes = $1.60
<em>12 quarters</em><em> </em>= $3.00
7 0
3 years ago
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