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4 years ago

Write the equation of the circle with the given center and radius. Then graph the circle. center: (4, 0) radius: 4

Mathematics

1 answer:

Ganezh [65]4 years ago

6 0

The standard form for the equation of a circle is :

(x−h)^2+(y−k)^2=r2
where handk are the x and y coordinates of the center of the circle and r is the radius.
Subtituting h=4, k=0 and r=4 gives :

(x-4)^2+(y)^2=16

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Which of the following is the explicit rule for the sequence -3, 5, 13, 21 ... *

TiliK225 [7]

Answer:

$a_{n}$ = 8n - 11

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - (- 3) = 13 - 5 = 21 - 13 = 8

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 8 , thus

$a_{n}$ = - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is

f(n) = - 3 + 8(n - 1)

7 0

3 years ago

Describe in your own words how to factor of negative one out of an addition or subtraction expression

fomenos

Answer:

Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.

Step-by-step explanation:

5 0

2 years ago

A television was sold at a gain of 20% after allowing a discount of 20% on its marked price . Had it been sold after allowing 25

Novay_Z [31]

Answer: The marked price is 40% more than the original price

40% - 25% = 15% or 1450

Marked price = 140%

140 × 1450 ÷ 15 = 13533. 33

Step-by-step explanation:

6 0

3 years ago

Y=15x+2

netineya [11]

Answer:

No solution

Step-by-step explanation:

Let's solve using substitution (substitute 15x+2 for y):

-15x+15x+2=1

2=1

No solution

Another method...

Since these lines have the same slope, but different y-intercepts, they are parallel. This means they will not intersect therefore there is...

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6 0

3 years ago

The general form for a compound interest function is B(t)=P(1+r/n)^nt . Assuming that n=1 , rewrite the compound interest equati

Vesnalui [34]

The formula $B(t)=P(1+\frac{r}{n})^{nt}$ , for n=1 becomes $B(t)=P(1+\frac{r}{1})^{1\cdot t}=P(1+r)^t$ .

Comparing $B(t)=P(1+r)^t$ with $B(t)=900(1.185)^t$ , we see that

P=900, and 1+r=1.185, which means that r=0.185.

r=0.185 can be written as 18.5%, as a percentage.

Answer: 18.5%

3 0

3 years ago