(-3, 0) is a solution to given equation
(-6, -1) is a solution to given equation
<em><u>Solution:</u></em>
<em><u>Given that equation is:</u></em>
![y = \frac{1}{3}x + 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%201)
<h3><em><u>
Option 1</u></em></h3>
(-3, 0)
Substitute x = -3 and y = 0 in given equation
![0 = \frac{1}{3} \times -3 + 1\\\\0 = -1 + 1\\\\0 = 0](https://tex.z-dn.net/?f=0%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20-3%20%2B%201%5C%5C%5C%5C0%20%3D%20-1%20%2B%201%5C%5C%5C%5C0%20%3D%200)
Thus (-3, 0) is a solution to given equation
<h3><em><u>
Option 2</u></em></h3>
(-9, -1)
Substitute x = -9 and y = -1 in given equation
![-1 = \frac{1}{3} \times -9 + 1\\\\-1 = -3 + 1\\\\-1 \neq -2](https://tex.z-dn.net/?f=-1%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20-9%20%2B%201%5C%5C%5C%5C-1%20%3D%20-3%20%2B%201%5C%5C%5C%5C-1%20%5Cneq%20%20-2)
Thus (-9, -1) is not a solution to given equation
<h3><em><u>
Option 3</u></em></h3>
(-6, -1)
Substitute x = -6 and y = -1 in given equation
![-1 = \frac{1}{3} \times - 6 + 1\\\\-1 = -2 + 1\\\\-1 = -1](https://tex.z-dn.net/?f=-1%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20-%206%20%2B%201%5C%5C%5C%5C-1%20%3D%20-2%20%2B%201%5C%5C%5C%5C-1%20%3D%20-1)
Thus (-6, -1) is a solution to given equation
Answer:
x = {-1/5, 1}
Step-by-step explanation:
(5x - 2)² - 1 = 8
Add 1 to both sides
(5x - 2)² = 9
Take the square root of both sides
5x - 2 = ±3
------------------------------
<u>Solution I</u> for 5x - 2 = +3
5x - 2 = 3
add 2 to both sides
5x = 5
Divide both sides by 5
x = 1
------------------------------
<u>Solution II</u> for 5x - 2 = -3
5x - 2 = -3
add 2 to both sides
5x = -1
Divide both sides by 5
x = -1/5
-------------------------------
x = {-1/5, 1}
Answer:
approx. 1/2
part B: 11/24
1/24, explanation in step by step
Step-by-step explanation:
10 /12 is close to 1
3/8 is close to 1/2
Part B:
10/12 - 3/8
10/12 = 20 /24
3/8 = 9/24
20/24 - 9/24 = 11/24
1-1/2=1/2
Part C:
1/2 - 11/24 = 12/24 - 11/24 = 1/24
I think my answer is reasonable because when I subtracted my answer from my estimate, I got a number very close to 0
The correct answer i believe is C
Since this is a 45-45-90 triangle, n = 9 and m = x