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2 years ago

The system has how many solutions?

Mathematics

2 answers:

Artyom0805 [142]2 years ago

8 0

Answer:

No solution.

Step-by-step explanation:

$y = 2x + 3 \\ y = 2x - 1$

Both equations are in slope-intercept form so we can combine both equations.

$2x + 3 = 2x - 1$

Solve the equation.

$2x - 2x = - 1 - 3 \\ 0 = - 4$

Both sides are different. Therefore, both graphs are parallel and no solutions.

Bingel [31]2 years ago

3 0

Answer:

two solutions ldk because thethe lines are split into four and if you take away two you still have four more I really don't know this

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Trigonometric identities Simplify cos^2 theta -1/ 4 sin^2 theta

Veronika [31]

Answer:

Step-by-step explanation:

using the identity

sin²x + cos²x = 1 ( subtract 1 from both sides )

sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )

cos²x - 1 = - sin²x

then

$\frac{cos^20-1}{4sin^20}$

= $\frac{-sin^20}{4sin^20}$ ← cancel sin²Θ on numerator and denominator

= $\frac{-1}{4}$

= - $\frac{1}{4}$

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1 year ago

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mestny [16]

Answer:

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3 years ago

There are four identical quadrants which is 15in.

babunello [35]

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2 years ago

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lana66690 [7]

Answer:

5x^2 +10x

Step-by-step explanation:

The area is the product of the height and width. For this exercise, it is convenient to compute the rectangle areas individually, then write their sum:

blue rectangle area = (5x)(x) = 5x^2

red rectangle area = (5x)(2) = 10x

Total area = 5x^2 +10x.

_____

If you start by writing an expression for the total area, expanding it requires you deal with the unlike terms separately anyway:

5x(x +2) = 5x(x) +5x(2) = 5x^2 +10x

7 0

3 years ago

How do I factor out a constant before factoring out a quadratic? <br>Factor completely: 3w^2-3w-90

pantera1 [17]

$3w^2-3w-90 =0 \ \ \:3 \\ \\w^2- w-30 =0 \\ \\a=1 , \ b= -1 , c= -30 \\ \\\Delta =b^2-4ac = (-1)^2 -4\cdot1\cdot (-30) =1+120=121 \\ \\w_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{1-\sqrt{121}}{2 }=\frac{ 1-11}{2}=\frac{-10}{2}=-5$

$w_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{1+\sqrt{121}}{2 }=\frac{ 1+11}{2}=\frac{12}{2}=6 \\ \\ Answer:\\ \\ w^2- w-30 =(x+5)(x-6)$

3 0

2 years ago