A vector in its standard form is given by:
v = lvl * (cos (theta) i + sin (theta) j)
If we multiply the vector by a scalar -pi we have:
v = -pi * lvl * (cos (theta) i + sin (theta) j)
We observe the following changes:
The magnitude of the vector is greater.
The vector changes direction.
Answer:
A. The vector will change direction and increase in magnitude.
Answer:
m∠B = 157°
Step-by-step explanation:
Cyclic quadrilateral is the quadrilateral whose vertices lie on the edge of the circle
In the cyclic quadrilateral each two opposite angles are supplementary (the sum of their measures is 180°)
∵ Quadrilateral ABCD is inscribed in a circle
- That means its four vertices lie on the edge of the circle
∴ ABCD is a cyclic quadrilateral
<em>Each two opposite angles in the cyclic quadrilateral are supplementary (The sum of their measures is 180°)</em>
∵ ∠B and ∠D are opposite angles in the quadrilateral ABCD
∴ m∠B + m∠D = 180° ⇒ opposite ∠s in a cyclic quadrilateral
∵ m∠B = (6x + 19)°
∵ m∠D = x°
- Substitute them in the rule above
∴ (6x + 19) + x = 180
- Add the like terms in the left hand side
∴ (6x + x) + 19 = 180
∴ 7x + 19 = 180
- Subtract 19 from both sides
∴ 7x = 161
- Divide both sides by 7
∴ x = 23
<em>Substitute the value of x in the expression of the measure of ∠B to find its measure</em>
∵ m∠B = 6(23) + 19
∴ m∠B = 138 + 19
∴ m∠B = 157°
1.5/36 = 0.5/12 or if u simplify it more... 1/24
Answer:3/2
Step-by-step explanation:
First of all, we have to draw the line. To draw a line, we only need two points. To sample to points, we choose two arbitrary x values, and compute the correspondent y values.
We may choose x=0 and x=3 to make computation/drawing easier. We have
So, this line passes through the points (0, -6) and (3, -5). Draw these two points and connect them: you have the line
Now, to solve the inequality
recall that smaller values for y means "below" in the coordinate axes. So, every point that lies below the line is a solution to the inequality.