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3 years ago

Graph the circle which is centered at (-4,1) and which has the point (0,4) on it

Mathematics

1 answer:

Allushta [10]3 years ago

7 0

Answer:

see the attachment for the graph

Step-by-step explanation:

Since all you want is the graph, it is convenient to use a graphing program to produce it.

You will notice that the point on the circle is 4 units over and 3 units up from the center.* This tells you the square of the radius is 4²+3² = 25. You only need to know this if you're using a graphing calculator to plot the equation ...

(x +4)^2 +(y -1)^2 = 25

If you're graphing this by hand, you can set your compass to the distance between the plotted points, as we have done in our graphing program.

_____

* Hopefully, you recognize these (4 and 3) as the legs of a 3-4-5 right triangle, so you know immediately that the radius is 5. Even if you don't, you can figure it using the Pythagorean theorem, as we have done above.

The standard form equation of a circle with center (h, k) and radius r is ...

(x -h)^2 +(y -k)^2 = r^2

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75% of customers are not offered free games.

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3 years ago

How do you solve P = C+MC, for M??

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P = C +MC
P - C = MC
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3 years ago

Please help solve this SAT math problem. I have 4 more like these so need help with this so that I can solve the rest by myself.

stealth61 [152]

The notation just means

(f/g)(-4) = f(-4) / g(-4)

If f(x) = x² + 2 and g(x) = 1 - 3x, then

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2 years ago

The difference of two rational numbers is always negative true of false

Vlada [557]

Comparing two rational numbers

Use fraction form:

Make the denominators the same and compare the numerators. The number with the smaller numerator is smaller. For example, to compare a/b and c/d, we rewrite

a/b=a*d/b*d

= ad/bd and c/d = c*b/d*b=bc/bd

Now just compare the numerators : "ad" and "bc"

Multiplying and Dividing Rational Numbers

Multiplying and dividing rational numbers in decimal form is the same as multiplying and dividing integers. The decimal place of the product is the same of all decimals of all multiplied numbers. For example, 3.12*2.4.

Solution => 3.12*2.4=7.488

When multiplying or dividing rational numbers in fractional form, you multiply the numerators (N*N) and then multiply the denominators (D*D).

When dividing rational numbers in fractional form, first take the reciprocal of the divisor, and then multiply the numerators and the denominators.

Example => 5/9 divided by 2/7 .

Solution => 5/9 * 7/2 = 35/18

Adding Rational numbers

Adding and Subtracting rational numbers in decimal form is the same as adding and subtracting integers.

Example => -3.54+2.79=-0.75

When adding or subtracting rational numbers in fractional form, first make the denominator equal, and then add or subtract the numerators.

The difference can be negative or positive.

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3 years ago

Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the

FrozenT [24]

Answer:

$\frac{48+5j}{j}$

Step-by-step explanation:

<u>Complete Question:</u>

Angela shared a cab with her friends . When they arrived at their destination, they evenly divided the $48 fare among "j" of them . Angela gave the cab $5 tip. How much did Angela pay in total?

<u>Solution:</u>

The fare was $48 and including Angela, there were j people, so each paid:

48/j

Also, Angela paid $5 additionally.

So, Angela paid:

48/j --- when dividing evenly

5 --- as a tip

Total Angela Paid: $=\frac{48}{j}+5\\=\frac{48+5j}{j}$

Total Payment: $\frac{48+5j}{j}$

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2 years ago

Read 2 more answers