Answer:
(8x − 2x ) + (−x − 2) = (5x − 3) − (4 −x ) a) Ecuación de Primer Grado. b)
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:
Therefore, the value of x is 11.
You can double-check using the sine ratio:
Insert the values:
Insert the equation into a calculator:
:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
Answer:
A is the answer because...
Step-by-step explanation:
Let's narrow it down, so it is not D because 8/2=4 but 64/4=16, so already they don't share a slope. It is not B because the numbers don't work together like they should, since we are trying to prove proportionality. It is not C because we are not trying to square the numbers but find a similarity between the numbers, the same slope I mean. So that leaves A which has the slope of 2, test it out now. 0 and 0 are the same, 4/2=2, 8/4=2, 12/6=2. So now you know that A is the correct answer.
Hope you understand! :)
You want to compare the square root of 55 using "mental math". Start off by choosing two perfect squares that you can think of that are close to 55.
If you don't know perfect squares then start with the number 2 and multiply it by itself. 2 times 2 equals 4, so 4 is a perfect square.
Take the number 3, multiply it by itself, and so on. Do this for all the numbers until you find two perfect squares that are close to 55.
The two perfect squares closest to 55 are the square roots of 49 and 64. Find the square root of these numbers.
√49 = 7
√64 = 8
Calculate how far 55 is from 49 and 64. 55 is 6 digits away from 49 and 9 digits away from 64.
This means the square root of 55 will be closer to the square root of 49; 7. Since we know that it will be closer to 7, you can put the less than sign for your answer.
√55 < 7.7
(The actual square root of 55 is ~7.4, so we were correct in determining the answer without using a calculator!)
