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Marizza181 [45]
2 years ago
11

Find solutions to the equation 2x+3y=6 for the values x=0, y=0, and x=−3.

Mathematics
1 answer:
telo118 [61]2 years ago
3 0

Answer:

Step-by-step explanation:

hello :

2x+3y=6

1) x = 0 : 2(0)+3y=6    means  3y=6   so : y=6/3 = 2

2) y = 0 : 2x+3(0)=6    means  2x=6   so : y=6/2 = 3

3) x = - 3 : 2(-3)+3y=6    means  3y=12   so : y=12/3 = 4

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What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
3 years ago
What is the image of the point (6,9) after a rotation of 270° counterclockwise about<br> the origin?
Reil [10]

Answer:

(-9,-6)

Explanation

3 0
2 years ago
Use the marked parallel lines to find the value of y in the diagram below (1 point)
Inessa [10]
2x + 5 = 3x - 45                    [alternate interior angles]
3x - 2x = 5 + 45
x = 50

4y - 1 + 2x + 5 = 180                [supplementaly angles]
4y + 2(50) + 4 = 180
4y + 100 = 176
4y = 76
y = 19
7 0
2 years ago
I need help with this, please!
Vera_Pavlovna [14]

Option D: x \geq 3 is the solution

Explanation:

The given expression is 3 x-1 \geq 8

We need to determine the solution of the expression.

<u>Solution:</u>

The solution of the expression can be determined by solving the expression for the variable x.

Thus, we have,

3 x-1 \geq 8

Adding both sides of the expression by 1, we get,

3x\geq 9

Dividing both sides of the expression by 3, we get,

x \geq 3

Thus, the solution of the expression is x \geq 3

Hence, Option D is the correct answer.

6 0
3 years ago
-30 + 10<br> Find the sum
ludmilkaskok [199]
The answer of -30+10 is -20

-30+10=-20
5 0
3 years ago
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