Answer:
y < -2
Step-by-step explanation:
2y < -4
Divide both sides by 2.
y < -2
Answer:
The answer is:
a) 2/10= 1/5 or 0.2
b) 9/24= 3/8 or 0.375
Thanks
Step-by-step explanation:
Answer:
Step-by-step explanation:
GIven that :
(a) lim (x,y)→(0,0) 5x + y √ 5x + y + 9 − 3
(b) lim (x,y)→(0,0) 2xy x 2 + y 2
We are to evaluate and determine if the limit exist or not.
From (a);
x = 0
y = 0 (Since no presence of indeterminate)
=
= 0+0+0 +9 - 3
= 6
Therefore; the limit exist
(b)
If y = mx
So; the limit depends on the value of m; then the limit does not exist
1st urn : 5 white, 8 yellow....total of 13 balls
P(white) = 5/13
2nd urn : 9 white, 2 yellow...total of 11 balls
P(white) = 9/11
P(both events happening) = 5/13 * 9/11 = 45/143 <=
Answer:
<em>Similar: First two shapes only</em>
Step-by-step explanation:
<u>Triangle Similarity Theorems
</u>
There are three triangle similarity theorems that specify under which conditions triangles are similar:
If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).
If the three sides are in the same proportion, the triangles are similar (SSS theorem).
If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).
The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.
The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.
The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar