Answer:
The equation of the required line is y = x + 5
Step-by-step explanation:
The equation of the given line is y = x - 2
The required line = A line parallel to the given line
The point through which the required line passes = (-3, 2)
The general form of the equation of a straight line, is y = m·x + c
Where;
m = The slope of the line
By comparison, the slope of the given line, m = 1
When two lines are parallel, their slope are equal
Therefore, the slope of the required line = m = 1
The equation of the required line in point and slope form is therefore;
y - 2 = x - (-3) = x + 3
∴y = x + 3 + 2 = x + 5
The equation of the required line is therefore;
y = x + 5.
Answer:
6 in 2.
Step-by-step explanation:
Area = √s(s-a)(s-b)(s-c)
= √6×(6 - 4)×(6 - 3)×(6 - 5)
= 6 inches 2.
Option 2:
is the correct answer.
Step-by-step explanation:
The radical expressions like these are simplified by using fractional exponents
given
![\frac{\sqrt{4}}{\sqrt[3]{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%20%7D)
Converting radicals into exponents
When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3
So

As the bases of numerator and denominator is same, the exponents can be subtracted

Hence,
Option 2:
is the correct answer.
Keywords: Exponents, radicals
Learn more about radicals at:
#LearnwithBrainly
9x + 4 = 58
9x = 54
x = 6
The number is 6.