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3 years ago

10

Michael is saving to buy a car. He has 2/5 what he needs to buy the car. His savings account has a balance of $ 1000. How much d

oes the car cost? How much more does he need to SAVE?

1 answer:

Anastasy [175]3 years ago

8 0

2500

1,000 divided by 2/5 is 2,500

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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:

I don't feel like explaining so...

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

What is cos K? I suck at math:(

SVETLANKA909090 [29]

Answer:

cos K = 12/13

Step-by-step explanation:

cos theta = opposite side/ hypotenuse for a right triangle

cos K = 12/13

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3 years ago

What is the slope of a line that is perpendicular to the line y= -1/2x +5?

spin [16.1K]

The answer is:

B. -1/2

Explanation:
The equation is in y= mx + b form, which means that m= slope and b= y-intercept. You can see that the slope is -1/2.

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Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operat

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The greatest number is 5. 3 cans of regular and 4 cans of diet. The most 15 can be divided by similarly to 20 is by 5.

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2 years ago

If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?

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In case you're not already aware, the expression $\frac{f(x+h)-f(x)}h$ is called the "difference quotient" and represents the average rate of change of a function $f$ over an interval $[x,x+h]$ .

For the function $f(x)=x^2+3x+4$ , by substituting $x+h$ we get

$f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2$

Then the difference quotient is

$\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h$

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where the last equality holds as long as $h\neq0$ .

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