All categories

3 years ago

X² + y² = 34x + y =8

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

Step-by-step explanation:

${x}^{2} + {y}^{2} = 34 \\ x + y = 8 \\ x = 8 - y \\ substitute \: x \: in \\ {x}^{2} + {y}^{2} = 34 \\ {(8 - 4)}^{2} + {y}^{2} = 34 \\ {(8 - 4) }^{2} = {y}^{2} - 16y + 64 \\ {y}^{2} - 16y + 64 + {y}^{2} = 34 \\ {2y}^{2} - 16y + 64 = 34 \\ {2y}^{2} - 16y + 64 - 34 = 0 \\ {2y}^{2} - 16y + 30 = 0 \\ 2 {y}^{2} - 6y - 10y + 30 = 0 \\ (2 {y}^{2} - 6y) - (10y + 30) = 0 \\ 2y(y - 3) - 10(y - 3) = 0 \\ (2y - 10)(y - 3) \\ 2y = 10 \\ y = \frac{10}{2} \\ y = 5 \\ or \\ y = 3 \\ if \: y = 5 \: \: x = 3 \\ if \: y = 3 \: \: x = 5$

You might be interested in

What is the area of the regular pentagon below?

wolverine [178]

Answer:

21yd^2

Step-by-step explanation:

join the centre to all the vertex,

since this figure is of regular pentagon, it's will form 5 equal triangle of equal area!

now area of one such triangle is

1/2 ×base ×height

=1/2 ×3.5x2.4 (yd^2)

=4.2 yd^2

now the pentagon is sum of 5 such equal triangle,so it's are will be

5×4.2 (yd^2)

=21 yd^2

✌️:)

7 0

3 years ago

WILL GIVE BRAINILY 5 STARS AND THANKS FOR CORRECT ANSWER ITS PRETTY EASY If it is 3:00 p.m. and you move the minute hand of the

Gwar [14]

Answer:

3:45 pm

Step-by-step explanation:

Every 90 degree = 15 minutes

270 degrees = 15 x 3 = 45 minutes

3:00 + 0:45 = 3:45 pm

Hope this helps!

4 0

3 years ago

Read 2 more answers

A certain rare form of cancer occurs in 37 children in a million, so its probability is 0.000037. In the city of Normalville th

sladkih [1.3K]

Answer:

Mean = 2.7

In a group of 74090 we would expect about 3 (rounding to nearest whole number) children with the rare form of cancer.

Step-by-step explanation:

We are given that the rate of cancer in children is 37 children in 1 million. So the probability of cancer in a child is P(C) = 0.000037

Poisson distribution is used to approximate the number of cases of diseases and we have to find what will be the mean number of cases for 74,090.

In simple words we have to find the expected number of children with cancer in a group of 74,090 children.

The mean value of expected value can be obtained by multiplying the probability with the sample size. So, in this case multiplying probability of child having a cancer with total group size will give us the expected or mean number of children in the group with cancer.

Mean = E(x) = P(C) * Group size

Mean = 0.000037 x 74090

Mean = 2.7

This means in a group of 74090 we would expect about 3 (rounding to nearest whole number) children with the rare form of cancer.

5 0

3 years ago

The softball team has won 7 of their last 8 games.

Inga [223]

Answer: 88%

Step-by-step explanation:

(7/8)*100=87.5

Which is approximately 88.

3 0

3 years ago

Read 2 more answers

for a fundraiser, Hailey raises $27, plus 1.50 for each lap she swims. Tariana raises $18, plus $3 for each lap she swims what i

borishaifa [10]

Answer:

The number of laps for which two swimmers have raised the same amount of money is 6 .

Step-by-step explanation:

Given as :

The amount raised by Hailey = $27 + $1.50 × each lap she swim

The amount raised by Tariana = $18 + $3 × each lap she swim

Let The number of laps after which both swimmer raised same amount = n

Now, According to question

For both swimmer to raised same amount

I.e The amount raised by Hailey = The amount raised by Tariana

Or, $27 + $1.50 × each lap she swim = $18 + $3 × each lap she swim

Or, $27 + $1.50 × n = $18 + $3 × n

Or, $27 - $18 = $3 n - $1.50 n

Or, 9 = 1.5 n

∴ n = $\dfrac{9}{1.5}$

I.e n = 6

So, number of lap for same amount of both = n = 6

Hence The number of laps for which two swimmers have raised the same amount of money is 6 . Answer

5 0

3 years ago

X² + y² = 34x + y =8​

X² + y² = 34x + y =8