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2 years ago

Y = -2x + 8 y = x^2 - 9x + 18 solve the system of nonlinear equation

Mathematics

1 answer:

ryzh [129]2 years ago

3 0

Substitution

-2x+8=x^2-9x+18

x^2-7x+10=0

Factoring, we get

(x-5)(x-2)=0

x=5, x=2

If x equals 5,

y=-2(5)+8=

-10+8=

-2

Therefore, we derive our first solution:

Now we solve for our second x

If x=2,

y=-4+8=

Therefore, we derive our second solution:

-Hunter

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UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

5 0

2 years ago

Help! please give steps :) thanks 20pts

luda_lava [24]

Hello,
26.
period=4
max=3
min=-3

27:
p=8
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28:
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3 years ago

Read 2 more answers

A bag contains 7 blue, 4 yellow, 4 green, and 5 red marbles. Find the probability of choosing a green marble without looking. Ma

Naddik [55]

Answer:

1/4

Step-by-step explanation:

total balls=7+4+4+5=20

probability of green marble=?

green marbles are 5 so,

Probability=number of favourable outcomes / number of all possible outcomes

total outcomes=20

green ball chances=5

=5/20

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2 years ago

How many degrees are in an angle that turns through 1/3 of a circle?

Leona [35]

Hello!

We know that, in terms of radians and degrees, that an angle that turns through the entirety of a circle is 360 degrees. To find 1/3 of it, we just multiply by 1/3.

360(1/3)=120

Therefore, our answer is 120°.

I hope this helps!

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2 years ago

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Arte-miy333 [17]

Answer:

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