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3 years ago

A system of equations consisting of a circle and a line is graphed. Which statements about the number of possible

Mathematics

2 answers:

puteri [66]3 years ago

7 0

Answer:

B D E

Step-by-step explanation:

i took the test

posledela3 years ago

6 0

Answer:

B. D, E hope this helps! :)

Step-by-step explanation:

A system of equations consisting of a circle and a line is graphed. Which statements about the number of possible solutions are correct? Check all that apply.

A circle and a line always intersect, so the system can have an infinite number of solutions.

A circle and a line can intersect at one point, so the system can have one solution.

A circle and a line can intersect at three points, so the system can have three solutions.

A circle and a line can intersect twice, so the system can have two solutions.

A circle and a line do not have to intersect, so the system can have no solution.

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g 7. Find Re f and Im f and find their values at the given z. (Both answers should be included) f = z⁄(z + 1), z = 4 − 5

Schach [20]

Answer:

The real and imaginary parts of the result are $\frac{1441}{1601}$ and $\frac{4}{1601}$ , respectively.

Step-by-step explanation:

Let be $f(z) = \frac{z}{z+1}$ , the following expression is expanded by algebraic means:

$f(z) = \frac{z\cdot (z-1)}{(z+1)\cdot (z-1)}$

$f(z) = \frac{z^{2}-z}{z^{2}-1}$

$f(z) = \frac{z^{2}}{z^{2}-1}-\frac{z}{z^{2}-1}$

If $z = 4 - i5$ , then:

$z^{2} = (4-i5)\cdot (4-i5)$

$z^{2} = 16-i20-i20-(-1)\cdot (25)$

$z^{2} = 41 - i40$

Then, the variable is substituted in the equation and simplified:

$f(z) = \frac{41-i40}{41-i39} -\frac{4-i5}{41-i39}$

$f(z) = \frac{37-i35}{41-i39}$

$f(z) = \frac{(37-i35)\cdot (41+i39)}{(41-i39)\cdot (41+i39)}$

$f(z) = \frac{1517-i1435+i1443+1365}{3202}$

$f(z) = \frac{2882+i8}{3202}$

$f(z) = \frac{1441}{1601} + i\frac{4}{1601}$

The real and imaginary parts of the result are $\frac{1441}{1601}$ and $\frac{4}{1601}$ , respectively.

8 0

3 years ago

I have 3 biscuits and you ask me 1. how many would I have left?

MaRussiya [10]

Answer:

Step-by-step explanation:

because i have a feeling you would not give me a biscuit if u would it would be 2

4 0

3 years ago

Bank Accounts You receive a $ 150 check, a $ 300 bill, a $ 250 bill, an $ 80 check, and a $ 105 check. By how much will your ban

Misha Larkins [42]

Your bank account will change by $215

Explanation:
You add up all of the checks and then add up the bills. Once you do that you subtract the bills from the checks.

4 0

3 years ago

Which equation matches y = 2x + 3

balandron [24]

Answer: C
The total height of a 3 inch tree after it grows 2 inches per month

6 0

3 years ago

Can someone help me with this?

Roman55 [17]

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

.05n + .25q = 5.65.

Go back to the first equation and solve it for either n or q. I solved it for n:

n = 53 - q

Plug this into the second equation in place of n now to get:

.05(53 - q) + .25q = 5.65 and

2.65- .05q + .25q = 5.65 and

.20q = 3 so

q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are

n + 15 = 53 nickels and

n = 38 nickels.

7 0

3 years ago