Answer:
??
Step-by-step explanation:
what kind of math is this?
Step-by-step explanation:
when having an exponent of an exponent, the exponents are simply multiplied.
so, here we have 3/4 × 2/3 = (3×2)/(4×3) = 6/12 = 1/2
so, simplified, we have 5^(1/2).
now, a fraction as exponent indicates a root to be taken. which root is identified by the denominator of the fraction.
here this is 2 (of 1/2). so we need to take the square root.
therefore

is the right answer.
Answer:
4x + 15x + 7
Step-by-step explanation:
x2 + x2 = 4x
5x + 10x = 15x
-14 + 21 = 7
Answer:y = 3x + 5 is a linear equation in two variables and it has infinite possible solutions.
Step-by-step explanation:
Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:
