Answer:
Step-by-step explanation:
16 = 2 *2 * 2 * 2 = 2⁴
16y⁴ = (2y)⁴
x⁴ - 16y⁴ = x⁴ - (2y)⁴
= (x²)² - [ (2y)² ]²
{Use identity = a² -b² =(a +b)(a- b). Here a =x² & b =(2y)²}
= (x² + (2y)² ) (x² - (2y)² )
= (x² + 4y²) (x² - 4y²)
Answer:
71 degrees
Step-by-step explanation:
please someone help me with this ASAP especially with the workout!!
From the triangle shown;
YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z
28² = 25² + 23² - 2(25)(23) cos Z
784 = 625 + 529- 1150 cos Z
784 - 1154 = -1150cos Z
-370 = -1150cos Z
cos Z = 370/1150
cos Z = 37/115
cos Z = 0.3217
Z = arccos 0.3217
Z = 71.23
hence the measure of <Z is 71 degrees
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (0, 3) ← 2 ordered pairs from the table
m = = = - 1