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SSSSS [86.1K]
2 years ago
14

Simplify the following: 6x - 6y + 4x - 3y - 5x + 7x

Mathematics
1 answer:
goblinko [34]2 years ago
3 0
12x-9y is the simplified answer
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( x + 3 )( y + 2 ) = xy - 5<br> ( x + 2 )( y - 3 ) = xy
Paraphin [41]

Answer:

xy+2x+3y+6=xy-5 .............(1)

xy-3x+2y-6=xy.....,.,(2)

2x+3y=-11

-4x+2y=6

first equation multiply by 2

(2)*(2x+3y)=-11

4x+6y=-22

-4x+2y=6

8y=-16 y=(-2),,,,, x=(-2,5)

4 0
2 years ago
When Marika bought her house she paid 80% of the purchase price of the house with a loan. She paid the remaining 49,400 of the p
Maurinko [17]

Let

x-----> the purchase price of the house

we know that

1) Marika paid 80\% of the purchase price of the house with a loan

2) Marika paid the remaining \$49,400 of the purchase price with her savings

3) \$49,400 represent the 20\% of the purchase price

so

0.20x=49,400

Solve for x

Divide by 0.20 both sides

0.20x/0.20=49,400/0.20

x=247,000

therefore

<u>the answer is</u>

the purchase price of the house is \$247,000

3 0
3 years ago
Linear algebra is a fundamental component of continuum mechanics (and most engineering disciplines). Solve the following matrix
Mars2501 [29]

Answer:

A ) Not orthogonal to each other

B) 50i + 40j + 105k

C) The tensor product is attached below

D ) The value of X = F.X is attached below

Step-by-step explanation:

attached below is the detailed solution of the above problem

A) for the vectors ( u ) and ( v ) to be orthogonal to each other [ U.V has to be = 0 ] but in this scenario  U.V = 4 hence they are not orthogonal to each other

b) The vector normal to plane is gotten by : U x V

= 50i + 40j + 105k

4 0
3 years ago
Select the correct answer from each drop-down menu.
serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

6 0
3 years ago
Find the point of intersection<br> y=-3x-3<br> y=-3
Alla [95]
The answer would be -3
5 0
2 years ago
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