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AnnZ [28]
3 years ago
15

This circle and x + 2y= 12 create a system of equations.

Mathematics
1 answer:
NISA [10]3 years ago
6 0

There's something wrong with the answer choices.

There are 2 solutions because the line x+2y = 12 and the circle intersect at two locations. One point of intersection is (0,6). So this suggests choice B is the answer; however, the point (12,0) is not a solution.

It works for x+2y = 12 since 12+2(0) = 12. But the point (12,0) is not on the circle. The furthest to the right we go is (6,0).

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Each side of a rhombus is 20 cm long and one of its diagonals is 24 cm in length, find the area of ​​this rhombus?
vodomira [7]

Answer:

AB = 20 CM

OA = 1

__ × 24 cm

2

= 12 cm

AOB = 90 °

OB² == AB² - OA ²

( {20}^{2} ) - ( {12}^{2} ) \\  = 400 - 144 \\  = 256 \\

ob \:  =  \sqrt{256}  = 16 \\ bd \:  = 2 \times ob \\  = 2 \times 16 \\  = 32cm \:  \\

AREA OF ABCD IS

\frac{1}{2 }  \times ac \times bd \\  =  \frac{1}{2}  \times 24 \times 32 \\ 384cm

hope \: its \: helpful \:  \: to \: you \:

6 0
2 years ago
Read 2 more answers
Bob Ross has a charge card. Ross's previous monthly balance if $167.42. He made a payment of $159.15. There is no finance charge
dolphi86 [110]

Answer:

According to your question, the new balance is $8.27

Step-by-step explanation:

$167.42 - $159.15 = $8.27

7 0
3 years ago
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.
Zarrin [17]
Let the lengths of pregnancies be X
X follows normal distribution with mean 268 and standard deviation 15 days
z=(X-269)/15

a. P(X>308)
z=(308-269)/15=2.6
thus:
P(X>308)=P(z>2.6)
=1-0.995
=0.005

b] Given that if the length of pregnancy is in lowest is 44%, then the baby is premature. We need to find the length that separates the premature babies from those who are not premature.
P(X<x)=0.44
P(Z<z)=0.44
z=-0.15
thus the value of x will be found as follows:
-0.05=(x-269)/15
-0.05(15)=x-269
-0.75=x-269
x=-0.75+269
x=268.78
The length that separates premature babies from those who are not premature is 268.78 days
8 0
3 years ago
The Harrison family paid $14,400 in rent last year. The landlord has decided to raise rent 2.5% each year. How much will the Har
skelet666 [1.2K]

Answer: $16,200

Step-by-step explanation:

14,400 rent.

Raise of 2.5% (0.025)/year.

5 years.

Take the rent (14,400) and add 2.5% (0.025) of it (14400) for five (5) years.

14400+0.025(14400)(5)

14400+1800\\=16200

6 0
2 years ago
The expression 2x2 + 12x + 10 represents a bird's height, in feet, x seconds after it leaves its nest,
marusya05 [52]
The answer is A. You add the extra 10 feet to however high the bird flew from there
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