Answer:
7
Step-by-step explanation:
The diagonal is the hypotenuse of the right triangle with legs 7
Use Pythagoras' identity to solve for the diagonal d
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
d² = (7
)² + (7
)²
= 147 + 147
= 294 ( take the square root of both sides )
d =
= 7
≈ 45.37 ( to 2 dec. places )
Answer:
x = -3+√5, -3-√5 (exact roots)
or x = -0.76, -5.24 to the nearest hundredth.
Step-by-step explanation:
x² + 6x = - 4
Completing the square:
(x + 3)^2 - 9 = -4
(x + 3)^2 = 5
x + 3 = +/-√5
x = - 3 + √5, - 3 - √5
Answer: 36
Step-by-step explanation:
-3 to the power of -2 is 9
2 to the power of 1 is 4
when you multiply that u get 36
Answer:
errr polynomials ahaha
so basically we can multiply the power outside of the parantheses with the exponents on the inside:
so

this will give us:
-3x^8y^4
we also unfortunately, have to use the power on the coefficient -3 as well and we cant just MULTIPLY -3 by 4, we are going to have to multiply -3 with -3 4 TIMES(anytime we see a coefficient we MUST multiply the coefficient by itself according to the number outside of the parantheses)
so:
-3*-3*-3*-3=81
final expression

Multiply the second fraction by two; which gets you 5/10 + 2/10 = 7/10