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3 years ago

4x - 3 ( x - 2 ) = 21

Mathematics

2 answers:

Alona [7]3 years ago

5 0

Answer:

x = 15

Step-by-step explanation:

4x - 3 ( x - 2 ) = 21

Distribute

4x -3x +6 = 21

Combine like terms

x+6 = 21

Subtract 6 from each side

x+6-6=21-6

x = 15

katovenus [111]3 years ago

5 0

4 x -3 x + 6 = 21
x + 6 = 21
x = 21 - 6
x = 15

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HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)

nikitadnepr [17]

Answer:

$\frac{x2}{a} - \frac{y2}{b2} = 1$

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

$\frac{X2}{16} - \frac{b}{4} = 1$

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

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a. = 4

The foci c is at +/-2√5, using c² = a² + b²:

B = 2

Substituting the value of a and b to get the equation of the hyperbola:

$\frac{x2}{a2} - \frac{y2}{b2} = 1$

$\frac{x2}{16} - \frac{b2}{4} = 1$

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3 years ago

Kandace drives 48 miles each way to work.She works 5 days a week.Her car gets 32 miles per gallon of gas.If gas costs $3.79 per

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3 years ago

3y=24 solve by inspection

Ulleksa [173]

Explanation: Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

a÷c=b÷c for c≠0

First, you divide by 3 both sides of an equation.

3y/3=24/3

Then, simplify.

24/3=8

8*3=24

24/8=3

y=8 is the final answer.

Hope this helps!

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