Answer:
The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D
Step-by-step explanation:
<em>The domain of the rational fraction is t</em><em>he values of x which make the fraction defined</em><em>. That means </em><em>the domain does not contain the values of x which make the denominator equal to 0</em><em>.</em>
∵ g(x) =
∴ The denominator = x + 3
→ Equate the denominator by 0
∵ x + 3 = 0
→ Subtract 3 from both sides
∴ x + 3 - 3 = 0 - 3
∴ x = -3
→ That means the domain can not have -3 because it makes the denominator
equal to 0
∴ The domain is all values of real numbers except x = -3
∴ The domain = {x : x ∈ R, x ≠ -3}
∴ The domain = (-∞ , -3) ∪ (-3, ∞)
By straight line angles property,
▶60 + 4x +20 =180
▶80 +4x =180
▶4x = 180 -80
▶4x = 100
x = 25
So, Second angle
▶4 ×25 +20
▶100 + 20
▶120
3x + x =116
4x=116
x = 29
other angle = 3 ×29
=87
ANGLE CAB + ANGLE ACB = 90
2x + x + 30 =90
3x + 30 =90
3x = 90 - 30
3x= 60
x=20
So, angle CAB = 2 ×20 = 40
Answer:
Step-by-step explanation:
(A)The given equations are:
and
Taking the ordered pair (3,0),
and
which is satisfied. Thus, option A (3,0) is correct.
(B) The two equations are:
and
Adding both the equations, we get
Therefore, substituting the value of x in any of the two given equations,
Hence, x=3 and y=6
(C) Let "b" represents Becky's score and "C" be Cathy's score.
Then, According to the question, we get
and
Thus, Option B is correct.
(D) The given equations are:
and
Now, substituting the value of x=y+5 in the equation, we get
Thus, option C is correct.
