X is less than -2, so -2 is our largest value of the interval, so it goes on the right. Since there is no lower endpoint (it is ALL values less than -2), we put the negative infinity symbol on the left side. The curved end on -2 indicates an open interval
Answer:
0, -2/3
Step-by-step explanation:
Answer:
x = 41.67
Step-by-step explanation:
The above equation, would be simplified or divided into parts;
Therefore, the given equation becomes;
A/x = B/C
Where;
A = (15.2*0.25-48.51/14.7)
B = (13/44-2/11-5/66/2.50)1.2
C = 3.2+0.8(5.5-3.25)
x = unknown variable.
<u>Part A</u>
(15.2*0.25-48.51/14.7) = (15.2*0.25 - 3.3)
A = (3.8 - 3.3)
A = 0.5
<u>Part B</u>
(13/44-2/11-5/66/2.50)1.2 = (0.3 - 0.18 - 0.030) * 1.2
B = 0.09 * 1.2
B = 0.108
<u>Part C</u>
(3.2+0.8(5.5-3.25)
C = 4*(2.25)
C = 9
<em>Substituting the values into the equation, we have;</em>
0.5/x = 0.108/9
<em>Cross-multiplying, we have;</em>
9 * 0.5 = 0.108x
4.5 = 0.108x
x = 4.5/0.108
x = 41.67
Answer:
cos ∅ = 80/89
Step-by-step explanation:
As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .
Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.
The question requested us to find the ratio that represent the cosine of ∠U.
The ∠U is represented as ∅ .
Therefore,
cos ∅ = adjacent/hypotenuse
adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.
hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.
cos ∅ = adjacent/hypotenuse
cos ∅ = 80/89
Answer:
x = 4
Step-by-step explanation:
If you were to plot the given points, you would quickly see that this is a vertical line where x = 4 (a visual is always a good place to start).
Vertical lines have a slope that is undefined and are written in the form of x = .
If you had plugged into the slope formula
, where (
) is (4, 8) and (
) is (4,6) the result would be as follows:

= 
= 
Because you can not divide by 0, the slope is in fact undefined.