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3 years ago

Z-x/3=y solve for zit's on a quiz hurryyy

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

6 0

Answer:

z = 3y + x

Step-by-step explanation:

z - x / 3 = y

multiply both sizes by 3

z - x = 3y

add x

z = 3y + x

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What is the greatest common factor of 20x6y+40x4y2−10x5y5 ?

mestny [16]

The greatest common factor: 20x^6y 40x^4y^2 10x^5y^5 is 10x^4y.
20x^6y = 10x^4y*2x^2
40x^4y^2 = 10x^4y*4y
10x^5y^5 = 10x^4y*y^4

8 0

3 years ago

4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the dia

Ad libitum [116K]

The <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

<h3>How to find the standard equation of a hyperbola</h3>

In this problem we must determine the equation of the hyperbola in its <em>standard</em> form from the coordinates of the foci and a <em>general</em> equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:

(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)

(h, k) = (2, 2)

To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the <em>general</em> equation of the circle into its <em>standard</em> form.

If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:

x² + y² - 4 · x - 4 · y + 4= 0

(x² - 4 · x + 4) + (y² - 4 · y + 4) = 4

(x - 2)² + (y - 2)² = 2²

The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:

V₁(x, y) = (0, 2), V₂(x, y) = (4, 2)

And the distance from the center to any of the vertices is 2 (<em>semi-major</em> distance, a) and the semi-minor distance is:

b = √(c² - a²)

b = √(3² - 2²)

b = √5

Therefore, the <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

To learn more on hyperbolae: brainly.com/question/27799190

#SPJ1

5 0

2 years ago

The coldest temperature in New York City was -15 on February 9th 1934, The next day the temperature rose 42 degrees. Write an ex

masya89 [10]

Answer:

27°C

Step-by-step explanation:

The temperature on February 9th 1934 = -15°C

The next day the temperature rose 42 degrees.

We need to find an expression for the temperature on February 10th.

February 10th temperature = -15 + 42

= 27°C

So, the temperature on February 10th is 27°C.

4 0

2 years ago

(m-3)/(7)=(m)/(m+8) Solve the proportion.

ExtremeBDS [4]

Answer: m=6, m=-4

Step-by-step explanation:

To solve this proportion, we have to cross multiply.

$\frac{m-3}{7} =\frac{m}{m+8}$

$(m-3)(m+8)=7m$

Now that we have cross multiplied, we actually need to FOIL the left side to expand the equation.

$m^2+8m-3m-24=7m$

Combine like terms.

$m^2+5m-24=7m$

We can move all terms to one side and then solve for m.

$m^2-2m-24=0$

We can actually factor this to:

$(m-6)(m+4)=0$

We set each factor equal to 0 to find m.

m-6=0

m=6

m+4=0

m=-4

6 0

3 years ago

Bob is thinking about leasing a car. the lease comes with an interest rate of 8%. determine the money factor that will be used t

alukav5142 [94]

The money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.

<h3>What is money factor?</h3>

It is defined as the ratio of the annual percentage rate to 2400. Usually, it can be used to calculating the financing costs of a lease with monthly installments.

Bob is thinking about leasing a car, the lease comes with an interest rate of 8%.

The annual percentage rate(APR) = 8%

We know the formula for finding the money factor is given by:

$\rm Money \ factor = \frac{APR}{2400}$

$\rm Money \ factor = \frac{8}{2400}$

Money factor = 0.00333

Thus, the money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.

Learn more about the money factor here:

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2 years ago

Z-x/3=y solve for zit's on a quiz hurryyy​

Z-x/3=y solve for zit's on a quiz hurryyy