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4 years ago

I need help.Please help me.

Mathematics

1 answer:

goldenfox [79]4 years ago

4 0

It is a constant rate a positive rate

The slope is 3/2

They are both positive rates

When you go up by three you go left 2 and it stays a constant rate

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Which is equation of an ellipse of an ellipse with directrices at x=4 and foci at (2,0) (-2,0)

r-ruslan [8.4K]

Answer:

$\frac{x^2}{8} + \frac{y^2}{4}=1$

Step-by-step explanation:

The directrices in this case are vertical lines, so we have a horizontal ellipse. The equation for that ellipse is:

$\frac{(x - h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1$

The center of the ellipse is (h,k), the diretrix is x = d and the foci are given by (h+c, k) and (h-c, k)

So, comparing the foci, we have that k = 0 and:

$h + c = 2$

$h - c = -2$

Adding these two equations, we have:

$2h = 0$

$h = 0$

$c = 2$

We can find the value of a^2 using the property:

$c / a = a / d$

Using c = 2 and d = 4, we have:

$a^2 = c * d$

$a^2 = 8$

Now, to find b^2, we use the property:

$a^2 = b^2 + c^2$

$8 = b^2 + 4$

$b^2 = 4$

So the equation of the ellipse is:

$\frac{x^2}{8} + \frac{y^2}{4}=1$

7 0

3 years ago

A thirty year old man is considering buying a one-year life insurance policy for $500 with a coverage of $150,000. The probabili

natima [27]

Answer:

The man should not buy the policy.

Step-by-step explanation:

A life insurance policy is a contract that pays a sum assured to a policy holder upon death, either immediately or at the end of year of death. The policy holder pays a premium amount in advance to cater for the future benefits (sum assured).

In the scenario presented, the man is 30 years old with a probability of 0.994 of survival with respect to mortality. The high probability of being alive through the year implies that the man is very unlikely to die and thus the probability of receiving the coverage amount is too minimal

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3 years ago

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Find the volume of a cone with a radius of 3 millimeters and a 7 height of millimeters. Use 22/7 for 3.14 .

wolverine [178]

Answer:

Step-by-step explanation:

So the volume of a cone is $\pi r^2*\frac{h}{3}$

r = 3

h = 7

$9\pi *\frac{7}{3} = 21\pi$

$\frac{22}{7} *21=66$

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3 years ago

Similar figures always have .....?

rewona [7]

Answer: Similar figures are always the same shape, but not the same size. They have equal angles but not equal side lengths. Check out a big square and a small square. They're both squares because they have four sides and four equal angles, but the sides aren't the same length.

Step-by-step explanation:

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4 years ago

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If ABCD is a rectangle, find the measure of angle ABD.

pav-90 [236]

Answer: 31 degrees

Step-by-step explanation: Angle ABD and BDC are alternate interior angles, meaning that they are congruent. Therefore, the measure of angle ABD is 31 degrees.

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