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Paladinen [302]

3 years ago

15

What is the next term to this sequence 1,5,13,25,41?

1 answer:

grandymaker [24]3 years ago

8 0

The next term is 61.

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Find the focus of the parabola whose equation is y=1/8 x^2

Mama L [17]

Answer:

The focus is: $(0,2)$

Step-by-step explanation:

Given

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

Required

Determine the focus

The focus of a parabola

$(x- h)^2 = 4p(y - k)$

is:

$(h,k+p)$

So, we have:

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

Cross multiply

$8y = x^2$

Rewrite as:

$x^2 = 8y$

Rewrite as:

$(x - 0)^2 = 8(y - 0)$

Express 8 as 4 * 2

$(x - 0)^2 = 4 * 2(y - 0)$

By comparison with: $(x- h)^2 = 4p(y - k)$

$h = 0$ $p =2$ $k = 0$

So, the focus $(h,k+p)$ is:

$(h,k+p) = (0,0+2)$

$(h,k+p) = (0,2)$

7 0

3 years ago

Helpppp on a test <3 please question b the first one

maksim [4K]

Answer:6

Step-by-step explanation:

5 times 2h is 10h, so then you have to find 5 times what is 30, and 5 times 6 is 30. So your anwser would be 6.

8 0

3 years ago

The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie

andrey2020 [161]

Answer:

The answer is $25\pi$ units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

The distance between the $x$ 's is 9-3=6.

The distance between the $y$ 's is 9-1=8.

The distance between the points is given by $\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$ .

The radius is therefore $\frac{10}{2}=5$ .

We are asked to find the area of this circle.

The formula for finding the area of a circle is $\pi r^2$ .

Since the radius is $5$ , then the area in terms of $\pi$ ,(pi), is $\pi (5)^2=\pi (25)$ .

The answer is $25\pi$ units squared.

4 0

3 years ago

Explain the relationship between mass and volume and density and if it will float or sink in water.

STatiana [176]

Answer:

if an object weighs more than an equal volume of water, it is more dense and will sink, and if it weighs less than an equal volume of water, it is less dense and will float.

less dense

more dense

8 0

3 years ago

7 over 9 - 1 over 2?<br><br>

dimulka [17.4K]

Answer:

the answer is 5/18 in exact form. In deciaml form it is 0.27 with 7 repeating. hope this helps you.

4 0

3 years ago