Think about rise over run. Make the -4 a fraction into -4/1. Rise is the first, so you go down 4 pts down. Then run is 1, so you go 1 right. In this case, there is no beginning, so you begin at 0. The coordinates will be (0, 0) and (1, -4). You got the graph.
Step-by-step explanation:
solve the ineq first then plot on the number line so,
-2(4x + 5) ≤ 30
-8x - 10 ≤ 30
-8x ≤ 40
x ≥ -5
therefore, option A is correct.
Topic: Inequalities
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:
Age of younger brother is 4 years..
And age if elder brother is 14 years.
Step-by-step explanation:
Let us denote 'x' as the age of smaller brother,
then, the age of younger brother will be x+10 years.
x+x+10 = 18
2x+10 = 18
2x = 18-10
2x = 8
x = 8/2
x = 4
Age of younger brother is 4 years.
Age of elder brother = x + 10
= 4 + 10
= 14 years.
Answer:
Step-by-step explanation:
Use the Distance Formula:
![\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = D \\ \\ \sqrt{[6 - 1]^2 + [-7 + 1]^2} = \sqrt{5^2 + [-6]^2} = \sqrt{25 + 36} = \sqrt{61} ≈ 7,810249676 ≈ 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E2%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E2%7D%20%3D%20D%20%5C%5C%20%5C%5C%20%5Csqrt%7B%5B6%20-%201%5D%5E2%20%2B%20%5B-7%20%2B%201%5D%5E2%7D%20%3D%20%5Csqrt%7B5%5E2%20%2B%20%5B-6%5D%5E2%7D%20%3D%20%5Csqrt%7B25%20%2B%2036%7D%20%3D%20%5Csqrt%7B61%7D%20%E2%89%88%207%2C810249676%20%E2%89%88%208)
Since we are talking about distance, we ONLY want the NON-NEGATIVE root.
I am joyous to assist you anytime.
