First we need to find the base and height of the triangle. We can see that the base goes from 3 to 11 on the coordinate plane. If we take 11 - 3, we get 8.
8 is our base. We can also see that the height goes from 3 to 12. 12 - 3 is 9, so our height is 9.
The formula for a triangle is (1/2)bh so 8 x 9 is 72, and 72 times 1/2 is 36.
The area of the triangle on the coordinate plane is 36 units
Answer:
x = 2 (For First question)
Step-by-step explanation:
8^ 1/6 * 2^x = 32^1/2
8^1/6 * 2^x 8^1/6 = 32^1/2/8^1/6
2^x = 32^1/2 / 8^1/6
2^x = 4
2^x = 2^2
x =2
Question 2:
Answer: 50
Step-by-step explanation:
8^1/3/5^-2
= 2/5^-2
= 2/1/5^2
= 2* 5^2/1
= 2 * 5^2
= 2 * 25
= 50
The way I like to solve proportions is by cross multiplying and dividing. First yo multiply the diagonals and then you divide by the other number. So if your proportion is 7/5 = x/3, your equation would be 7*3/5. So 7*3 is 21, so your equation is now 21/5. With some long division, you'll see that 21/5 = 4.2 That's your answer, feel free to ask more questions if you need!!(: