Answer: C) C= 0.75m + 5.50
Step-by-step explanation:
Claire is 18 years old and her mother is 40 years old.
Step-by-step explanation:
Let,
Claire's age = x
Her mother's age = y
According to statement;
x+y=58 Eqn 1
y=2x+4 Eqn 2

Putting value of x in Eqn 2

Claire is 18 years old and her mother is 40 years old.
Keywords: Linear equations, Substitution method
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First off, you need to have your ys on the same side. Here's how to do it:
4y + 15 = -5y + 9
4y + 5y = 9 - 15 (once a number goes to the other side, it changes its sign)
9y = -6
y = -6/9
y = -2/3
The correct answer is B. -2/3
Step-by-step explanation:
the distance can be seen as Hypotenuse of a right-angled triangle with its legs being the x and y coordinate differences.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
distance² = (-10 - -3)² + (-9 - 8)² = (-7)² + (-17)² = 49+289 =
= 338
distance = sqrt(338) = sqrt(2×169) = 13×sqrt(2) =
= 18.38477631...
The coefficients of x4 is 9. It has factors of 1, 3, and 9. The constant is 4. It has factors of 1, 2, and 4.
The (positive and negative) ratios of the factors of the coefficient of the x4 and the constant 4 are the potential rational roots of the function.
The answers are:
1, -1, 3, -3, 9, -9, 1/2, -1/2, 3/2, -3/2, 3/4, -3/4, 9/2, -9/2, 9/4, -9/4