Answer:
3/4 and 1/2
Step-by-step explanation:
(4x-3)(2x-1) ≥ 0
If the product of 2 numbers is zero, the one of the numbers must be equal to zero.
(4x-3)(2x-1) ≥ 0
(4x-3) ≥ 0 or (2x-1) ≥ 0
4x ≥ 0+3 2x ≥ 0+1
4x ≥ 3 2x ≥ 1
x ≥ 3/4 x ≥ 1/2
It is 1/6. Download photo math for only equations like this.
Answer:
<em>XY = 92 units</em>
Step-by-step explanation:
<u>Similar Shapes</u>
Two shapes are similar if all their corresponding side measures are in the same proportion.
The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.
This means that the measure of VX is twice the measure of VW,
The measure of YV is twice the measure of UV
The measure of XY is twice the measure of UW
This last proportion gives the equation:
z + 46 = 2z
Solving for z:
z = 46
Thus, XY = z+46 = 92
XY = 92 units
Answer:
146
Step-by-step explanation:
Hey there to find the area of this shape we will divide it into 2 shapes first one is a trapezoid and the second one is a triangle. first, we find the area of a trapezoid. to find the area of a trapezoid we use the formula:
A =
in this situation
a = 4
b = 14
h = 10
Now we plug it into the formula which will look like:
A =
if we solve it:
4+14 = 18
18/2 = 9
9*10 = 90
so the area of the trapezoid is 90
Now we find the area of triangle. to find the area of a triangle we use the formula:
A =
in this situation
b = 14
h = 8 ( because the height of the trapezoid was 10 and the height of both shapes combined is 18 so we do 18 - 10 = 8 )
Now we put the numbers into the formula which will look like:
A = 
if we solve it :
14*8 = 112
= 56
so the area of the triangle is 56
Now we add the area of both shapes:
56 + 90 = 146
area of the big shape = 146
Have a wonderful day
Answer:

Step-by-step explanation:
We are given that the equation of lines


According to question
The vector perpendicular to the lines is given by
and 
Therefore, the angle between two vectors is given by

Using the formula




Hence, the acute angle between the lines is given by
