What is the value of Fraction 1/2 x3 + 3.4y when x = 3 and y = 4?

Mathematics

1 answer:

Savatey [412]2 years ago

6 0

1/2*9+3.4*4
3+13.6
16.6

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9/10 - 3/14_______ps in simplest form

neonofarm [45]

9/19 - 3/14
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3 0

2 years ago

Can someone explain the steps to solve number two?

Vlada [557]

Ok so first you would create a proportion.
8/x=4/1. Next you cross multiply and divide,
1 • 8÷4=x. Ratios are fractions with the first number being the numerator and the second being the denominator. If you think of it this way, you just find an equivalent fraction. Your answer would be 8:2 because in your proportion x=2.

7 0

2 years ago

5. Find the value(s) of x so that the line containing the points (2x + 3, x + 2) and (0, 2) is

Dvinal [7]

Answer:

x = -2 or -9

Step-by-step explanation:

You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).

<h3>Slope</h3>

The slope of a line is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

Using the formula, the slopes of the two lines are ...

m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)

and

m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)

<h3>Perpendicular lines</h3>

The slopes of perpendicular lines have product of -1:

$\dfrac{x}{2x+3}\cdot\dfrac{2+3x}{6-x}=-1\\\\x(3x+2)=(2x+3)(x-6)\qquad\text{multiply by $(2x+3)(6-x)$}\\\\3x^2+2x=2x^2-9x-18\qquad\text{eliminate parentheses}\\\\x^2+11x+18=0\qquad\text{put in standard form}\\\\(x+2)(x+9)=0\qquad\text{factor}$