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SVEN [57.7K]
3 years ago
13

Give the equation of the circle centered at the origin and passing through the point (4,0)

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

Answer:

x² + y² = 4²

Step-by-step explanation:

The standard equation of a circle centered at the origin and with radius r is

x² + y² = r²

Note that the point (4, 0) is 4 units horizontally and to the right of the center (0, 0).  Thus, we know immediately that the radius is 4.

Thus the equation of this circle is x² + y² = 4²

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If h(x) = 2x2 − 10, find h(3)
weeeeeb [17]

Answer:

8

Step-by-step explanation:

Plug in 3 for x and simplify

2(3)^2 - 10

18-10

=8

5 0
3 years ago
Read 2 more answers
Click on the measurement that is equal to 20 liters.
Sphinxa [80]

Answer:

A.

Step-by-step explanation:

20000milliters = 20litres

4 0
2 years ago
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explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do t
mamaluj [8]

Answer:

Summary:

Standard form allow us to quickly find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Step-by-step explanation:

The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.

Standard Form:

The standard form of a quadratic is:

ax^2+bx+c

There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.

The leading coefficient a will tell us if the parabola curves upwards or downwards.

And the constant c will give us the y-intercept.

Vertex Form:

The vertex form of a quadratic is:

a(x-h)^2+k

There are also two details that can be conveyed by a quadratic in vertex form:  (1) the vertex, and (2) the leading coefficient.

The leading coefficient is given by a. Again, this tells us the orientation of the parabola.

And the vertex is given by (h, k).

Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.

Factored Form:

The factored form of a quadratic is:

a(x-p)(x-q)

Where p and q are the zeros/roots/solutions of the quadratic.

Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.

The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.

Summary:

Therefore, each form of a quadratic equation has its own benefits.

Standard form allow us to find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Hence, depending on the question, each form can be useful in its own way.

4 0
3 years ago
By visiting homes door-to-door, a municipality surveys all the households in 31 randomly-selected neighborhoods to see how resid
monitta

Answer:

Cluster Sample

Step-by-step explanation:

Sometimes, a survey may involve people in a widespread geographical location. Taking samples from all part of the location may involve higher cost and even difficulty in accessing the whole area. Researchers therefore use a type of sampling method that help in overcoming this difficulty and still get results that can be used to judge the whole population.

This type of sampling is called cluster sampling. Cluster sampling involves sharing your population into clusters and randomly selecting two or more of the clusters. The researcher then samples from only the selected clusters.

In the question above, the population is already shared into clusters, in the form of neighbourhoods. The municipality then randomly selected 31 neighbourhoods out of the whole neighbourhoods in the city, just like in cluster sampling, then samples from only the selected neighbourhood. This is why the selected samples are cluster samples.

6 0
3 years ago
How do I find this answer and what is the answer?
Ilia_Sergeevich [38]
QR = PR - PQ

QR = 13y + 25 - (8y + 5)
QR = 13y + 25 - 8y - 5
QR = 5y + 20 <==
8 0
3 years ago
Read 2 more answers
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