Consider the right triangle HBF. The Pythagorean theorem tells you ...
HF² = HB² + BF²
The lengths HB and BF can be determined by counting grid squares, or by subtracting coordinates. Here, it is fairly convenient to count grid squares. When we do that, we find ...
HB = 2
BF = 5
Using these values in the equation above, we get
HF² = 2² + 5²
HF² = 4 + 25 = 29
Taking the square root gives the length HF.
HF = √29
Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is -69.
Step-by-step explanation:
- Step 1: Given expression is 3y(2y-7) - 3(y - 4) - 63. Simplify it.
⇒ 6y² - 21y - 3y + 12 - 63
⇒ 6y² - 24y - 51
- Step 2: Find value of the expression for y = -2
⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21
- Step 3: Find value of the expression for y = 3
⇒ ⇒ 6y² - 24y - 51 = 6(3)² - 24(3) - 51 = 54 - 72 - 51 = -69
Answer: 20 pages
Step-by-step explanation: 100/5 is 20
Hi!
Put in the values for x and y.
(3 · 3 - 12)-(12 · 3 · 6 - 10)
Solve
(9 - 12)-(216 - 10)
-3 - 206
-209
The answer is -209
Hope this helps! :)