Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
Given:
is the transversal that intersects the lines r and s.
Required:
Pairs of alternate exterior angles.
Explanation:
Line q intersects the lines r and s.
The alternate exterior angles are,
Answer:
Thus the required answer is option 2.
Answer:
Explained below.
Step-by-step explanation:
Complementary angles are angles that sum up to 90°.
Here,
Then,
Angle P + Angle Q = 90°
2x + 7x = 90°
9x = 90°
x = 90/9
x = 10°
Therefore,
- Measurement of Angle P = 2x = 2*10 = 20°
- Measurement of Angle Q = 7x = 7*10 = 70°
Answer:
-3 1/2
Step-by-step explanation:
We have to find the distance between x and z along the y-axis.
This will be: 5 - -6 = 11 units
1/5 of 11 = 1/5 × 11
= 11/5
= 2 1/5
Now add 2.5 to -6
2 1/2 + -6 = -3 1/2
The value of y = -3 1/2
4x+3y=19 and 6x-5y=-57
eliminate
multiply first equation by -6 and 2nd by 4
and add them
-24x-18y=-114
<u>24x-20y=-228 +</u>
0x-38y=-342
-38y=-342
divide both sides by -38
y=9
sub back
4x+3y=19
4x+3(9)=19
4x+27=19
minus 27 both sides
4x=-8
divide 4
x=-2
(x,y)
(-2,9)
