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3 years ago

What are the solutions to the nonlinear system of equations below? Check all that apply.

1 answer:

3 0

Y = 4x
x² + y² = 17

    x² + y² = 17
x² + (4x)² = 17
x² + 16x² = 17
   17x² = 17
      17      17
       x² = ±1

y = 4x
y = 4(-1)
y = -4
(x, y) = (-1, -4)

y = 4x
y = 4(1)
y = 4
(x, y) = (1, 4)

(x, y) = (±1, ±4) = (1, 4) and (-1, -4)

The answer is equal to C and D.

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(3 points)

Snezhnost [94]

Answer:

The exponential Function is $20+12h=200$ .

Farmer will have 200 sheep after <u>15 years</u>.

Step-by-step explanation:

Given:

Number of sheep bought = 20

Annual Rate of increase in sheep = 60%

We need to find that after how many years the farmer will have 200 sheep.

Let the number of years be 'h'

First we will find the Number of sheep increase in 1 year.

Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.

framing in equation form we get;

Number of sheep increase in 1 year = $\frac{60}{100}\times20 = 12$

Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.

Framing in equation form we get;

$20+12h=200$

The exponential Function is $20+12h=200$ .

Subtracting both side by 20 using subtraction property we get;

$20+12h-20=200-20\\\\12h=180$

Now Dividing both side by 12 using Division property we get;

$\frac{12h}{12} = \frac{180}{12}\\\\h =15$

Hence Farmer will have 200 sheep after <u>15 years</u>.

6 0

3 years ago

In the last 98 years, 100 billion crayola crayons have been made! In the last 98 years, average of how many Crayola crayons have

Paladinen [302]

200 crayons i think

6 0

3 years ago

Read 2 more answers

Chapters: 1.Integers

SCORPION-xisa [38]

Answer:

a) -12

b) -4

c)-2

Step-by-step explanation:

a) pattern is minus 5

b) pattern is minus 8

c) pattern is plus 4

4 0

3 years ago

If x + 10 = 70, what is x?

seropon [69]

Answer:

C. 60

Step-by-step explanation:

x + 10 = 70

Subtract 10 from both sides

x + 10 - 10 = 70 -10

Simplifying

x = 60

7 0

3 years ago

Read 2 more answers

Can someone help me with this asap please, thanks!

kvv77 [185]

Answer:

Given: $r\perp s$ and $t\perp s$ .

Prove: $r\parallel t$

Since $r\perp s$ , By the definition of perpendicular lines angles 1, 2, 3 and 4 are 90 degree. similarly $t\perp s$ , it means angles 5, 6, 7 and 8 are 90 degree.

We can say that,

$\angle 1\cong \angle 5$ , $\angle 2\cong \angle 6$ , $\angle 3\cong \angle 7$ and $\angle 4\cong \angle 8$

From figure it is noticed that the angle 1 and 5 are corresponding angles.

If two parallel lines are intersected by a transversal, then the corresponding angles are equal.

Since corresponding angles are congruent, therefore the line must be parallel to each other.

Hence proved that $r\parallel t$ .

5 0

3 years ago