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IrinaK [193]
3 years ago
5

Perform the specified operations on the polynomials: Subtract 2x2−3xy+4y2from 3x2−5xy−6y2

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

Solution to the given expression is (x^2 -10y^2 -2xy)

Step-by-step explanation:

Here, the given expression are:

P(x) = 2x^2- 3xy+4y^2\\Q(x) = 3x^2 - 5xy-6y^2

To Solve for : Q(x)  - P(x)

Now substitute the value of P(x) and Q(x) , we get:

Q(x) - P(x) = P(x) = (3x^2 - 5xy-6y^2) - (2x^2- 3xy+4y^2)\\= 3x^2 - 5xy-6y^2 - 2x^2+3xy-4y^2\\=x^2-10y^2-2xy\\\implies Q(x) - P(x) = (x^2-10y^2-2xy)

Hence solution to the given expression is (x^2 -10y^2 -2xy)

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Use the diagram attached below. Find the straight distance between the zoo and movie theater.
Vesnalui [34]

Answer:

The distance would be around 9.66 blocks

Step-by-step explanation:

If you draw a straight line from zoo to movie theater, we have a triangle.

The given angle is 86 degrees, the two sides adjacent to it are 6 and 8 and we want to find the side opposite (let it be "p") to the given angle.

We will use cosine rule to find this. The rule is:

p^2=a^2+b^2-2abcosP

Where

a and b are the two adjacent sides to the given angle

a = 6

b = 8

p is what we are looking for

P is the angle given

So, substituting and finding the value:

p^2=a^2+b^2-2abcosP\\p^2=6^2 + 8^2 - 2(6)(8)Cos(86)\\p^2=36+64-96Cos(86)\\p^2=100-96Cos(86)\\p^2=93.3033\\p=\sqrt{93.3033}\\p=9.66

The distance would be around 9.66 blocks

7 0
3 years ago
What is the slope of your equation?
Dafna1 [17]

Answer:

Step-by-step explanation:

To find slope, use two points.

Point A (x_{1},y_{1}) and Point B (x_{2}, y_{2}).

Slope (m) = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}.

9 0
2 years ago
In the triangle below x=? Round to the nearest tenth. Please help!
julia-pushkina [17]

Answer:

The answer is less than 90 degrees

Step-by-step explanation:

4 0
2 years ago
Simplify.<br> 10 / 7 k + 11 / 7 - 2 k + 2/7 + 2/7 k -6
Nikolay [14]

As written, this is

\dfrac{10}{7}k+\dfrac{11}{7}-2k+\dfrac{2}{7}+\dfrac{2}{7}k-6=\left(\dfrac{10}{7}-2+\dfrac{2}{7}\right)k+\left(\dfrac{11}{7}+\dfrac{2}{7}-6\right)\\\\=\dfrac{10-14+2}{7}k+\dfrac{11+2-42}{7}\\\\=-\dfrac{2}{7}k-\dfrac{29}{7}

6 0
2 years ago
1.
tankabanditka [31]

Answer:

Congruent

Vertical

Step-by-step explanation:

E and G are vertical angles and vertical angles are equal

They are congruent because they are vertical

5 0
3 years ago
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