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KIM [24]
3 years ago
10

What is the solution of the system of equations below? 2x+3y=7 x+y=3 *Due tomorrow*

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Answer:

x = 1, y = 2

Step-by-step explanation:

x + y = 3 => 2x + 2y = 6

2x + 3y = 7

-)2x + 2y = 6

=> y = 1, x = 2

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For what real values of does the quadratic 12x^2+kx+27=0 have nonreal roots
bija089 [108]

Answer:

k<±36

Step-by-step explanation:

Δ<0 (no real roots)

b²-4ac<0

k²-4x12x27<0

k²-1296<0

k²<1296

k<±36

3 0
3 years ago
Which of the following systems of inequalities has point D as a solution?<br> f(x) = 3x+4
Alex73 [517]

I think is this one
8 0
3 years ago
Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
3 years ago
A rectangular solid has sides of 7 cm + 9 cm + 11 cm what<br> is its surface area
alina1380 [7]

Your answer would be: <em>693.</em>

Explanation:

When finding the area in a problem use <em>L×W×H</em>.

That being said, you now have to multiply the <em>L×W×H</em> (7x9x11)

7 × 9 × 11 = <em>693</em>

So the answer would be <em>693</em> because, if you are finding an area you use <em>L×W×H</em> to find your area.


6 0
3 years ago
Read 2 more answers
The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Degger [83]

Answer:

<h2><u><em>30x² − 23x − 14</em></u></h2>

Explanation:

  • Area = Length · Width

Length: (6x - 7)

Width: (5x + 2)

  • Create An Equation

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

  • 30x² − 23x − 14

- PNW

7 0
2 years ago
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